{"id":9,"date":"2023-09-17T11:17:38","date_gmt":"2023-09-17T11:17:38","guid":{"rendered":"https:\/\/mathority.org\/ru\/%d0%bb%d0%b8%d0%bd%d0%b5%d0%b8%d0%bd%d0%b0%d1%8f-%d0%b8-%d0%b0%d1%84%d1%84%d0%b8%d0%bd%d0%bd%d0%b0%d1%8f-%d1%84%d1%83%d0%bd%d0%ba%d1%86%d0%b8%d1%8f\/"},"modified":"2023-09-17T11:17:38","modified_gmt":"2023-09-17T11:17:38","slug":"%d0%bb%d0%b8%d0%bd%d0%b5%d0%b8%d0%bd%d0%b0%d1%8f-%d0%b8-%d0%b0%d1%84%d1%84%d0%b8%d0%bd%d0%bd%d0%b0%d1%8f-%d1%84%d1%83%d0%bd%d0%ba%d1%86%d0%b8%d1%8f","status":"publish","type":"post","link":"https:\/\/mathority.org\/ru\/%d0%bb%d0%b8%d0%bd%d0%b5%d0%b8%d0%bd%d0%b0%d1%8f-%d0%b8-%d0%b0%d1%84%d1%84%d0%b8%d0%bd%d0%bd%d0%b0%d1%8f-%d1%84%d1%83%d0%bd%d0%ba%d1%86%d0%b8%d1%8f\/","title":{"rendered":"\u041b\u0438\u043d\u0435\u0439\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0438 \u0430\u0444\u0444\u0438\u043d\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f"},"content":{"rendered":"<p>\u0412 \u044d\u0442\u043e\u0439 \u0441\u0442\u0430\u0442\u044c\u0435 \u0432\u044b \u043d\u0430\u0439\u0434\u0435\u0442\u0435 \u043e\u0431\u044a\u044f\u0441\u043d\u0435\u043d\u0438\u0435 \u0430\u0444\u0444\u0438\u043d\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0438 \u043b\u0438\u043d\u0435\u0439\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438, \u0430 \u0442\u0430\u043a\u0436\u0435 \u0440\u0430\u0437\u043b\u0438\u0447\u0438\u0439, \u0441\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u044e\u0449\u0438\u0445 \u043c\u0435\u0436\u0434\u0443 \u044d\u0442\u0438\u043c\u0438 \u0434\u0432\u0443\u043c\u044f \u0442\u0438\u043f\u0430\u043c\u0438 \u0444\u0443\u043d\u043a\u0446\u0438\u0439. \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u0432\u044b \u0443\u0432\u0438\u0434\u0438\u0442\u0435 \u043f\u0440\u0438\u043c\u0435\u0440\u044b \u0442\u043e\u0433\u043e, \u043a\u0430\u043a \u043f\u043e\u0441\u0442\u0440\u043e\u0438\u0442\u044c \u0433\u0440\u0430\u0444\u0438\u043a \u0430\u0444\u0444\u0438\u043d\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0438 \u043b\u0438\u043d\u0435\u0439\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0438 \u043a\u0430\u043a \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0438\u0445 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u044f \u0438\u0437 \u0434\u0432\u0443\u0445 \u0442\u043e\u0447\u0435\u043a. \u041d\u0430\u043a\u043e\u043d\u0435\u0446, \u0432\u044b \u0441\u043c\u043e\u0436\u0435\u0442\u0435 \u0442\u0440\u0435\u043d\u0438\u0440\u043e\u0432\u0430\u0442\u044c\u0441\u044f, \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u044f \u043d\u0435\u0441\u043a\u043e\u043b\u044c\u043a\u043e \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0439, \u0440\u0435\u0448\u0430\u044f \u0448\u0430\u0433 \u0437\u0430 \u0448\u0430\u0433\u043e\u043c. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-una-funcion-afin-y-una-funcion-lineal\"><\/span> \u0427\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0430\u0444\u0444\u0438\u043d\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0438 \u043b\u0438\u043d\u0435\u0439\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u041e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0430\u0444\u0444\u0438\u043d\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0438 \u043b\u0438\u043d\u0435\u0439\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435: <\/p>\n<div style=\"padding-top: 23px; padding-bottom: 0.5px; padding-right: 30px; padding-left: 30px; border: 2px dashed #FF9B28; border-radius:20px;\">\n<p style=\"text-align:left\"> <strong>\u0410\u0444\u0444\u0438\u043d\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f<\/strong> \u2014 \u044d\u0442\u043e \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u043f\u0435\u0440\u0432\u043e\u0439 \u0441\u0442\u0435\u043f\u0435\u043d\u0438, \u0442\u043e \u0435\u0441\u0442\u044c \u0444\u0443\u043d\u043a\u0446\u0438\u044f, \u043a\u043e\u0442\u043e\u0440\u0430\u044f, \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u043d\u0430\u044f \u043d\u0430 \u0433\u0440\u0430\u0444\u0438\u043a\u0435, \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u0442 \u0441\u043e\u0431\u043e\u0439 \u043f\u0440\u044f\u043c\u0443\u044e \u043b\u0438\u043d\u0438\u044e. \u0421\u043e\u043f\u0443\u0442\u0441\u0442\u0432\u0443\u044e\u0449\u0438\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d1732952e15a6b2d8b3a238c55238db2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=mx+n\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"117\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\"text-align:left\"> \u0417\u043e\u043b\u043e\u0442\u043e<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6b41df788161942c6f98604d37de8098_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"15\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u044d\u0442\u043e \u043d\u0430\u043a\u043b\u043e\u043d \u043b\u0438\u043d\u0438\u0438 \u0438<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b170995d512c659d8668b4e42e1fef6b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u042d\u0442\u043e \u0442\u043e\u0447\u043a\u0430 \u043f\u0435\u0440\u0435\u0441\u0435\u0447\u0435\u043d\u0438\u044f \u043f\u043e \u043e\u0441\u0438 Y, \u0442\u043e \u0435\u0441\u0442\u044c \u0442\u043e\u0447\u043a\u0430 \u043f\u0435\u0440\u0435\u0441\u0435\u0447\u0435\u043d\u0438\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0441 \u0432\u0435\u0440\u0442\u0438\u043a\u0430\u043b\u044c\u043d\u043e\u0439 \u043e\u0441\u044c\u044e.<\/p>\n<\/div>\n<p> \u0412 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0435 \u0430\u0444\u0444\u0438\u043d\u043d\u044b\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0442\u0430\u043a\u0436\u0435 \u043d\u0430\u0437\u044b\u0432\u0430\u044e\u0442\u0441\u044f \u043b\u0438\u043d\u0435\u0439\u043d\u044b\u043c\u0438 \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u0438\u044f\u043c\u0438 \u0432 \u043a\u043e\u043d\u0442\u0435\u043a\u0441\u0442\u0435 \u043b\u0438\u043d\u0435\u0439\u043d\u043e\u0439 \u0430\u043b\u0433\u0435\u0431\u0440\u044b. <\/p>\n<div style=\"padding-top: 23px; padding-bottom: 0.5px; padding-right: 30px; padding-left: 30px; border: 2px dashed #FF9B28; border-radius:20px;\">\n<p style=\"text-align:left\"> <strong>\u041b\u0438\u043d\u0435\u0439\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f<\/strong> \u2014 \u044d\u0442\u043e \u0430\u0444\u0444\u0438\u043d\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f, \u043d\u0435 \u0438\u043c\u0435\u044e\u0449\u0430\u044f \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u043e\u0433\u043e \u0447\u043b\u0435\u043d\u0430. \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0444\u043e\u0440\u043c\u0443\u043b\u0430 \u0434\u043b\u044f \u043b\u0438\u043d\u0435\u0439\u043d\u044b\u0445 \u0444\u0443\u043d\u043a\u0446\u0438\u0439 \u0438\u043c\u0435\u0435\u0442 \u0432\u0438\u0434:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2a49c9283eb692c32d4d6594620269ed_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=mx\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"84\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\"text-align:left\"> \u0417\u043e\u043b\u043e\u0442\u043e<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6b41df788161942c6f98604d37de8098_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"15\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u044d\u0442\u043e \u043d\u0430\u043a\u043b\u043e\u043d \u043b\u0438\u043d\u0438\u0438.<\/p>\n<\/div>\n<p> \u041e\u0431\u043b\u0430\u0441\u0442\u044c \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0438 \u0434\u0438\u0430\u043f\u0430\u0437\u043e\u043d (\u0438\u043b\u0438 \u0434\u0438\u0430\u043f\u0430\u0437\u043e\u043d) \u043b\u0438\u043d\u0435\u0439\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0438 \u0430\u0444\u0444\u0438\u043d\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u044f\u0432\u043b\u044f\u044e\u0442\u0441\u044f \u0434\u0435\u0439\u0441\u0442\u0432\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u043c\u0438 \u0447\u0438\u0441\u043b\u0430\u043c\u0438: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-91d461485d0f02bb14db6855a3774878_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Dom } f=\\mathbff{R}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"91\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5a954b5c192478c3b7b14428ac8d5cbc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Im } f= \\mathbb{R}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"74\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfcual-es-la-diferencia-entre-una-funcion-lineal-y-una-funcion-afin\"><\/span> \u0412 \u0447\u0435\u043c \u0440\u0430\u0437\u043d\u0438\u0446\u0430 \u043c\u0435\u0436\u0434\u0443 \u043b\u0438\u043d\u0435\u0439\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0435\u0439 \u0438 \u0430\u0444\u0444\u0438\u043d\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0435\u0439?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0422\u0435\u043f\u0435\u0440\u044c, \u043a\u043e\u0433\u0434\u0430 \u0432\u044b \u043f\u043e\u0437\u043d\u0430\u043a\u043e\u043c\u0438\u043b\u0438\u0441\u044c \u0441 \u043f\u043e\u043d\u044f\u0442\u0438\u044f\u043c\u0438 \u043b\u0438\u043d\u0435\u0439\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0438 \u0430\u0444\u0444\u0438\u043d\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438, \u0432\u044b \u0437\u0430\u043c\u0435\u0442\u0438\u043b\u0438, \u0447\u0442\u043e \u043e\u043d\u0438 \u043e\u0447\u0435\u043d\u044c \u043f\u043e\u0445\u043e\u0436\u0438 \u0434\u0440\u0443\u0433 \u043d\u0430 \u0434\u0440\u0443\u0433\u0430. \u041e\u0434\u043d\u0430\u043a\u043e \u043e\u0447\u0435\u043d\u044c \u0432\u0430\u0436\u043d\u043e \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0435 \u0440\u0430\u0437\u043b\u0438\u0447\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u043d\u0438\u043c\u0438:<\/p>\n<p> \u0415\u0434\u0438\u043d\u0441\u0442\u0432\u0435\u043d\u043d\u043e\u0435 \u0440\u0430\u0437\u043b\u0438\u0447\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u043b\u0438\u043d\u0435\u0439\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0435\u0439 \u0438 \u0430\u0444\u0444\u0438\u043d\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0435\u0439 \u0441\u043e\u0441\u0442\u043e\u0438\u0442 \u0432 \u0442\u043e\u043c, \u0447\u0442\u043e \u043b\u0438\u043d\u0435\u0439\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u043d\u0435 \u0438\u043c\u0435\u0435\u0442 \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u043e\u0433\u043e \u0447\u043b\u0435\u043d\u0430, \u0432 \u0442\u043e \u0432\u0440\u0435\u043c\u044f \u043a\u0430\u043a \u0430\u0444\u0444\u0438\u043d\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0432\u0441\u0435\u0433\u0434\u0430 \u0438\u043c\u0435\u0435\u0442 \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442 \u043f\u0440\u0438 \u043f\u0435\u0440\u0435\u0441\u0435\u0447\u0435\u043d\u0438\u0438 (n), \u043e\u0442\u043b\u0438\u0447\u043d\u044b\u0439 \u043e\u0442 \u043d\u0443\u043b\u044f (0). <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-385\">\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center has-text-color has-medium-font-size\" style=\"color:#1976d2\"> <strong>\u041b\u0438\u043d\u0435\u0439\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f<\/strong> <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2a49c9283eb692c32d4d6594620269ed_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=mx\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"84\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center has-text-color has-medium-font-size\" style=\"color:#1976d2\"> <strong>\u043b\u0438\u043d\u0435\u0439\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f<\/strong><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d1732952e15a6b2d8b3a238c55238db2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=mx+n\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"117\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<\/div>\n<\/div>\n<p> \u042d\u0442\u043e \u043e\u0437\u043d\u0430\u0447\u0430\u0435\u0442, \u0447\u0442\u043e <strong>\u043b\u0438\u043d\u0435\u0439\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0432\u0441\u0435\u0433\u0434\u0430 \u043f\u0440\u043e\u0445\u043e\u0434\u0438\u0442 \u0447\u0435\u0440\u0435\u0437 \u043d\u0430\u0447\u0430\u043b\u043e \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442<\/strong> , \u0442\u043e\u0447\u043a\u0443 (0,0). \u0421 \u0434\u0440\u0443\u0433\u043e\u0439 \u0441\u0442\u043e\u0440\u043e\u043d\u044b, \u0430\u0444\u0444\u0438\u043d\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u043d\u0438\u043a\u043e\u0433\u0434\u0430 \u043d\u0435 \u043f\u0440\u043e\u0439\u0434\u0435\u0442 \u0447\u0435\u0440\u0435\u0437 \u044d\u0442\u0443 \u0442\u043e\u0447\u043a\u0443, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u0435\u0435 \u0442\u043e\u0447\u043a\u0430 \u043f\u0435\u0440\u0435\u0441\u0435\u0447\u0435\u043d\u0438\u044f \u043e\u0442\u043b\u0438\u0447\u043d\u0430 \u043e\u0442 0. <\/p>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/difference-entre-fonction-lineaire-et-fonction-affine.webp\" alt=\"\u0412 \u0447\u0435\u043c \u0440\u0430\u0437\u043d\u0438\u0446\u0430 \u043c\u0435\u0436\u0434\u0443 \u043b\u0438\u043d\u0435\u0439\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0435\u0439 \u0438 \u0430\u0444\u0444\u0438\u043d\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0435\u0439?\" class=\"wp-image-97\" width=\"400\" height=\"285\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"pendiente-y-ordenada-en-el-origen-de-una-funcion-lineal-o-afin\"><\/span> \u041d\u0430\u043a\u043b\u043e\u043d \u0438 \u0442\u043e\u0447\u043a\u0430 \u043f\u0435\u0440\u0435\u0441\u0435\u0447\u0435\u043d\u0438\u044f \u043f\u043e \u043e\u0441\u0438 Y \u043b\u0438\u043d\u0435\u0439\u043d\u043e\u0439 \u0438\u043b\u0438 \u0430\u0444\u0444\u0438\u043d\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0412 \u044d\u0442\u043e\u043c \u0440\u0430\u0437\u0434\u0435\u043b\u0435 \u043c\u044b \u043f\u0440\u043e\u0430\u043d\u0430\u043b\u0438\u0437\u0438\u0440\u0443\u0435\u043c \u043f\u0440\u0438\u043c\u0435\u0440 \u0430\u0444\u0444\u0438\u043d\u043d\u043e\u0439 \u0438\u043b\u0438 \u043b\u0438\u043d\u0435\u0439\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438, \u0447\u0442\u043e\u0431\u044b \u043f\u043e\u043d\u044f\u0442\u044c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u0442\u0435\u0440\u043c\u0438\u043d\u043e\u0432.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6b41df788161942c6f98604d37de8098_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"15\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0418<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b170995d512c659d8668b4e42e1fef6b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0438\u043b\u0438, \u0434\u0440\u0443\u0433\u0438\u043c\u0438 \u0441\u043b\u043e\u0432\u0430\u043c\u0438, \u043d\u0430\u043a\u043b\u043e\u043d \u0438 \u0442\u043e\u0447\u043a\u0430 \u043f\u0435\u0440\u0435\u0441\u0435\u0447\u0435\u043d\u0438\u044f \u043f\u043e \u043e\u0441\u0438 Y.<\/p>\n<ul>\n<li> \u041e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u0438, \u0438\u0437\u043e\u0431\u0440\u0430\u0436\u0435\u043d\u043d\u043e\u0439 \u043d\u0430 \u0433\u0440\u0430\u0444\u0438\u043a\u0435, \u0438 \u043a\u043b\u0430\u0441\u0441\u0438\u0444\u0438\u0446\u0438\u0440\u0443\u0439\u0442\u0435 \u0435\u0435 \u043a\u0430\u043a \u043b\u0438\u043d\u0435\u0439\u043d\u0443\u044e \u0438\u043b\u0438 \u0430\u0444\u0444\u0438\u043d\u043d\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u044e.<\/li>\n<\/ul>\n<p> \u042d\u0442\u0438 \u0442\u0438\u043f\u044b \u0444\u0443\u043d\u043a\u0446\u0438\u0439 \u0441\u043b\u0435\u0434\u0443\u044e\u0442 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u043c\u0443 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u044e:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d1732952e15a6b2d8b3a238c55238db2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=mx+n\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"117\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-388\">\n<div class=\"wp-block-column is-layout-flow\">\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/sens-pente-et-ordonnee-a-l-origine-fonction-lineaire-ou-affine-m-et-n.webp\" alt=\"\u0447\u0442\u043e \u043e\u0437\u043d\u0430\u0447\u0430\u0435\u0442 \u043d\u0430\u043a\u043b\u043e\u043d \u0438 \u043e\u0441\u044c \u043f\u0435\u0440\u0435\u0441\u0435\u0447\u0435\u043d\u0438\u044f \u0441 \u043b\u0438\u043d\u0435\u0439\u043d\u043e\u0439 \u0438\u043b\u0438 \u0430\u0444\u0444\u0438\u043d\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0435\u0439 m \u0438 n\" class=\"wp-image-98\" width=\"418\" height=\"448\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b170995d512c659d8668b4e42e1fef6b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u042d\u0442\u043e \u0442\u043e\u0447\u043a\u0430 \u043f\u0435\u0440\u0435\u0441\u0435\u0447\u0435\u043d\u0438\u044f \u043e\u0441\u0438 Y, \u0442. \u0435. \u0442\u043e\u0447\u043a\u0430 \u043f\u0435\u0440\u0435\u0441\u0435\u0447\u0435\u043d\u0438\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0441 \u0432\u0435\u0440\u0442\u0438\u043a\u0430\u043b\u044c\u043d\u043e\u0439 \u043e\u0441\u044c\u044e Y. \u0418\u0442\u0430\u043a, \u0432 \u044d\u0442\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3d48be04aadb63e5661f86d0948d7553_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n=4\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"43\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0421 \u0434\u0440\u0443\u0433\u043e\u0439 \u0441\u0442\u043e\u0440\u043e\u043d\u044b,<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6b41df788161942c6f98604d37de8098_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"15\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u044d\u0442\u043e \u043d\u0430\u043a\u043b\u043e\u043d \u043b\u0438\u043d\u0438\u0438. Y \u043c\u043e\u0436\u043d\u043e \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u0442\u044c, \u0440\u0430\u0437\u0434\u0435\u043b\u0438\u0432 \u0440\u0430\u0437\u043d\u0438\u0446\u0443 <em>y<\/em> \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u0442\u043e\u0447\u043a\u0430\u043c\u0438 \u043d\u0430 \u0440\u0430\u0437\u043d\u0438\u0446\u0443 <em>\u0445<\/em> \u043c\u0435\u0436\u0434\u0443 \u044d\u0442\u0438\u043c\u0438 \u0436\u0435 \u0434\u0432\u0443\u043c\u044f \u0442\u043e\u0447\u043a\u0430\u043c\u0438:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8873a380186fcf86095bca15c8e96833_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m=\\cfrac{\\Delta y }{\\Delta x} = \\cfrac{3}{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"101\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6b41df788161942c6f98604d37de8098_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"15\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0433\u043e\u0432\u043e\u0440\u0438\u0442 <em>\u00ab\u043d\u0430 \u0441\u043a\u043e\u043b\u044c\u043a\u043e y \u0443\u0432\u0435\u043b\u0438\u0447\u0438\u0432\u0430\u0435\u0442\u0441\u044f \u0434\u043b\u044f \u043a\u0430\u0436\u0434\u043e\u0433\u043e x\u00bb<\/em> , \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u0432 \u044d\u0442\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u044f <em>\u00ab3y \u0443\u0432\u0435\u043b\u0438\u0447\u0438\u0432\u0430\u0435\u0442\u0441\u044f \u0434\u043b\u044f \u043a\u0430\u0436\u0434\u044b\u0445 2x\u00bb<\/em> .<\/p>\n<\/div>\n<\/div>\n<p> \u0412 \u0437\u0430\u043a\u043b\u044e\u0447\u0435\u043d\u0438\u0435, \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0435 \u0434\u043b\u044f \u0430\u0444\u0444\u0438\u043d\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438, \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u043d\u043e\u0435 \u043d\u0430 \u0433\u0440\u0430\u0444\u0438\u043a\u0435, \u0438\u043c\u0435\u0435\u0442 \u0432\u0438\u0434:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-16ef154b129d3fb6b20a41ec0d38c930_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\bm{f(x)=}\\frac{\\bm{3}}{\\bm{2}}\\bm{x+4}\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"107\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u0442\u043e\u0447\u043a\u0430 \u043f\u0435\u0440\u0435\u0441\u0435\u0447\u0435\u043d\u0438\u044f \u043f\u043e \u043e\u0441\u0438 Y \u043d\u0435 \u0440\u0430\u0432\u043d\u0430 \u043d\u0443\u043b\u044e, \u044d\u0442\u043e <strong>\u0430\u0444\u0444\u0438\u043d\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f<\/strong> .<\/p>\n<p> \u041d\u0438\u0436\u0435 \u043c\u044b \u043f\u043e\u043a\u0430\u0436\u0435\u043c \u0432\u0430\u043c \u0431\u043e\u043b\u044c\u0448\u0435 \u043f\u0440\u0438\u043c\u0435\u0440\u043e\u0432 \u043b\u0438\u043d\u0435\u0439\u043d\u044b\u0445 \u0438 \u0430\u0444\u0444\u0438\u043d\u043d\u044b\u0445 \u0444\u0443\u043d\u043a\u0446\u0438\u0439, \u0447\u0442\u043e\u0431\u044b \u0432\u044b \u043b\u0443\u0447\u0448\u0435 \u043f\u043e\u043d\u044f\u043b\u0438: <\/p>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exemples-de-fonctions-lineaires-et-affines.webp\" alt=\"\u043f\u0440\u0438\u043c\u0435\u0440\u044b \u043b\u0438\u043d\u0435\u0439\u043d\u044b\u0445 \u0438 \u0430\u0444\u0444\u0438\u043d\u043d\u044b\u0445 \u0444\u0443\u043d\u043a\u0446\u0438\u0439\" class=\"wp-image-100\" width=\"386\" height=\"382\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<p> \u041a\u0430\u043a \u0432\u0438\u0434\u043d\u043e \u0438\u0437 \u044d\u0442\u0438\u0445 \u043f\u0440\u0438\u043c\u0435\u0440\u043e\u0432, \u0447\u0435\u043c \u0431\u043e\u043b\u044c\u0448\u0435 \u043d\u0430\u043a\u043b\u043e\u043d, \u0442\u0435\u043c \u043a\u0440\u0443\u0447\u0435 \u043b\u0438\u043d\u0438\u044f \u0438, \u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0442\u0435\u043c \u0431\u043e\u043b\u044c\u0448\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u044f. \u0410\u043d\u0430\u043b\u043e\u0433\u0438\u0447\u043d\u043e \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442 \u043d\u0430\u043a\u043b\u043e\u043d\u0430 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u044f\u0435\u0442 \u0440\u043e\u0441\u0442 \u0438\u043b\u0438 \u0443\u0431\u044b\u0432\u0430\u043d\u0438\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u0438:<\/p>\n<ul>\n<li> \u0415\u0441\u043b\u0438 \u043d\u0430\u043a\u043b\u043e\u043d \u043f\u043e\u043b\u043e\u0436\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0439, \u0444\u0443\u043d\u043a\u0446\u0438\u044f <strong>\u0432\u043e\u0437\u0440\u0430\u0441\u0442\u0430\u0435\u0442<\/strong> , \u0442\u043e \u0435\u0441\u0442\u044c \u0443\u0432\u0435\u043b\u0438\u0447\u0438\u0432\u0430\u0435\u0442\u0441\u044f \u0441 \u0443\u0432\u0435\u043b\u0438\u0447\u0435\u043d\u0438\u0435\u043c <em>x<\/em> .<\/li>\n<li> \u0415\u0441\u043b\u0438 \u043d\u0430\u043a\u043b\u043e\u043d \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0439, \u0444\u0443\u043d\u043a\u0446\u0438\u044f <strong>\u0443\u0431\u044b\u0432\u0430\u0435\u0442<\/strong> , \u0442\u043e \u0435\u0441\u0442\u044c \u0443\u043c\u0435\u043d\u044c\u0448\u0430\u0435\u0442\u0441\u044f \u0441 \u0443\u0432\u0435\u043b\u0438\u0447\u0435\u043d\u0438\u0435\u043c <em>x<\/em> .<\/li>\n<\/ul>\n<p> \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u0432\u044b \u0442\u0430\u043a\u0436\u0435 \u043c\u043e\u0436\u0435\u0442\u0435 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c, \u043f\u0430\u0440\u0430\u043b\u043b\u0435\u043b\u044c\u043d\u044b \u0438\u043b\u0438 \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u044b \u0434\u0432\u0435 \u043b\u0438\u043d\u0438\u0438 \u043f\u043e \u0438\u0445 \u043d\u0430\u043a\u043b\u043e\u043d\u0430\u043c:<\/p>\n<ul>\n<li> \u041a\u043e\u0433\u0434\u0430 \u0434\u0432\u0435 \u043b\u0438\u043d\u0438\u0438 \u0438\u043c\u0435\u044e\u0442 \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u044b\u0439 \u043d\u0430\u043a\u043b\u043e\u043d, \u043e\u043d\u0438 <strong>\u043f\u0430\u0440\u0430\u043b\u043b\u0435\u043b\u044c\u043d\u044b<\/strong> , \u0442\u043e \u0435\u0441\u0442\u044c \u043d\u0435 \u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u044e\u0442\u0441\u044f \u043d\u0438 \u0432 \u043e\u0434\u043d\u043e\u0439 \u0442\u043e\u0447\u043a\u0435 \u0438\u043b\u0438 \u043f\u043e\u043b\u043d\u043e\u0441\u0442\u044c\u044e \u0438\u0434\u0435\u043d\u0442\u0438\u0447\u043d\u044b.<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-fd2942bbc0cd70bab6eb307042d9697e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m_1 = m_2\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"70\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<ul>\n<li> \u0421 \u0434\u0440\u0443\u0433\u043e\u0439 \u0441\u0442\u043e\u0440\u043e\u043d\u044b, \u0434\u0432\u0435 \u043b\u0438\u043d\u0438\u0438 <strong>\u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u044b<\/strong> , \u0442\u043e \u0435\u0441\u0442\u044c \u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u044e\u0442\u0441\u044f \u043f\u043e\u0434 \u0432\u0435\u0440\u0442\u0438\u043a\u0430\u043b\u044c\u043d\u044b\u043c \u0443\u0433\u043b\u043e\u043c (90\u00b0), \u0435\u0441\u043b\u0438 \u0438\u0445 \u043d\u0430\u043a\u043b\u043e\u043d\u044b \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u044e\u0442 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u043c\u0443 \u0441\u043e\u043e\u0442\u043d\u043e\u0448\u0435\u043d\u0438\u044e: <\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d4b49ed21ffb9c69fda11072fcf982ba_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m_1 = -\\cfrac{1}{m_2}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"87\" style=\"vertical-align: -15px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-como-representar-una-funcion-afin-o-lineal\"><\/span> \u041f\u0440\u0438\u043c\u0435\u0440 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u0438\u044f \u0430\u0444\u0444\u0438\u043d\u043d\u043e\u0439 \u0438\u043b\u0438 \u043b\u0438\u043d\u0435\u0439\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0414\u0430\u0432\u0430\u0439\u0442\u0435 \u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0438\u043c, \u043a\u0430\u043a \u043f\u043e\u0441\u0442\u0440\u043e\u0438\u0442\u044c \u0433\u0440\u0430\u0444\u0438\u043a \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u043f\u0435\u0440\u0432\u043e\u0439 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u043d\u0430 \u043f\u0440\u0438\u043c\u0435\u0440\u0435.<\/p>\n<ul>\n<li> \u041f\u043e\u0441\u0442\u0440\u043e\u0439\u0442\u0435 \u0433\u0440\u0430\u0444\u0438\u043a \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0439 \u0430\u0444\u0444\u0438\u043d\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-dca0572b440601ddb5b528a0756584f1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=2x-1\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"107\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u041f\u0435\u0440\u0432\u043e\u0435, \u0447\u0442\u043e \u043d\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u0441\u0434\u0435\u043b\u0430\u0442\u044c, \u044d\u0442\u043e \u0441\u043e\u0437\u0434\u0430\u0442\u044c <strong>\u043c\u0430\u0441\u0441\u0438\u0432 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0439.<\/strong> \u0414\u043b\u044f \u044d\u0442\u043e\u0433\u043e \u043c\u044b \u043f\u0440\u0435\u0434\u043e\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u043c \u043d\u0443\u0436\u043d\u044b\u0435 \u043d\u0430\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ede05c264bba0eda080918aaa09c4658_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0434\u043b\u044f \u043f\u043e\u043b\u0443\u0447\u0435\u043d\u0438\u044f \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0439<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a7ee323bc5a3f73ad5e066b13bed5504_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"34\" style=\"vertical-align: -5px;\"><\/p>\n<p> :<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-dca0572b440601ddb5b528a0756584f1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=2x-1\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"107\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-391\">\n<div class=\"wp-block-column is-layout-flow\">\n<ul>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c8ac84d67d3aac1aed17811791011ad7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 0 \\ \\longrightarrow \\ f(0) = 2\\cdot0-1=-1\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"256\" style=\"vertical-align: -5px;\"><\/p>\n<\/li>\n<\/ul>\n<ul>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a22669dbeb064858cef0cae657407117_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 1 \\ \\longrightarrow \\ f(1) = 2\\cdot1-1=1\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"242\" style=\"vertical-align: -5px;\"><\/p>\n<\/li>\n<\/ul>\n<ul>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a92a82278b7484dbb13e87bbdb66a28d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 2 \\ \\longrightarrow \\ f(2) = 2\\cdot2-1=3\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"243\" style=\"vertical-align: -5px;\"><\/p>\n<\/li>\n<\/ul>\n<ul>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c0809f5fecaf91c81f4f677ba608a0e6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 3 \\ \\longrightarrow \\ f(3) = 2\\cdot3-1=5\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"242\" style=\"vertical-align: -5px;\"><\/p>\n<\/li>\n<\/ul>\n<ul>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-29397a3b67142b737a56db3bffb52d68_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 4 \\ \\longrightarrow \\ f(4) = 2\\cdot4-1=7\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"243\" style=\"vertical-align: -5px;\"><\/p>\n<\/li>\n<\/ul>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6a5b457023582bcda44b49a7b32e51fc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c|c} x &amp; f(x) \\\\ \\hline 0 &amp; -1 \\\\ 1 &amp; 1 \\\\ 2 &amp; 3 \\\\ 3 &amp; 5 \\\\ 4 &amp; 7 \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"134\" width=\"78\" style=\"vertical-align: -62px;\"><\/p>\n<\/p>\n<\/div>\n<\/div>\n<p> \u0425\u043e\u0442\u044f \u0442\u0430\u0431\u043b\u0438\u0446\u044b \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0439 \u0441 \u0434\u0432\u0443\u043c\u044f \u0442\u043e\u0447\u043a\u0430\u043c\u0438 \u0434\u043e\u0441\u0442\u0430\u0442\u043e\u0447\u043d\u043e, \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u0441\u0434\u0435\u043b\u0430\u0442\u044c \u0431\u043e\u043b\u044c\u0448\u0435 \u0442\u043e\u0447\u0435\u043a, \u0447\u0442\u043e\u0431\u044b \u0443\u0431\u0435\u0434\u0438\u0442\u044c\u0441\u044f \u0432 \u0435\u0435 \u043f\u0440\u0430\u0432\u0438\u043b\u044c\u043d\u043e\u0441\u0442\u0438.<\/p>\n<p> \u041f\u043e\u0441\u043b\u0435 \u0442\u043e\u0433\u043e, \u043a\u0430\u043a \u043c\u044b \u0441\u043e\u0437\u0434\u0430\u043b\u0438 \u0442\u0430\u0431\u043b\u0438\u0446\u0443 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0439, \u043d\u0430\u043d\u043e\u0441\u0438\u043c \u0442\u043e\u0447\u043a\u0438 \u043d\u0430 \u0433\u0440\u0430\u0444\u0438\u043a: <\/p>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/comment-representer-une-ligne-ou-une-fonction-lineaire-ou-et-affine.webp\" alt=\"\u043a\u0430\u043a \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u0438\u0442\u044c \u043b\u0438\u043d\u0438\u044e \u0438\u043b\u0438 \u043b\u0438\u043d\u0435\u0439\u043d\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u0438\u043b\u0438 \u0438 \u0430\u0444\u0444\u0438\u043d\u043d\u0443\u044e\" class=\"wp-image-102\" width=\"271\" height=\"324\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<p> \u0418 \u043d\u0430\u043a\u043e\u043d\u0435\u0446, <strong>\u0441\u043e\u0435\u0434\u0438\u043d\u044f\u0435\u043c \u0442\u043e\u0447\u043a\u0438 \u0438 \u043f\u0440\u043e\u0432\u043e\u0434\u0438\u043c \u043b\u0438\u043d\u0438\u044e:<\/strong> <\/p>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exemple-de-comment-representer-une-fonction-lineaire-ou-ou-et-affine.webp\" alt=\"\u0433\u0440\u0430\u0444\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u0438\u0435 \u043b\u0438\u043d\u0435\u0439\u043d\u043e\u0439 \u0438\u043b\u0438 \u0430\u0444\u0444\u0438\u043d\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438\" class=\"wp-image-103\" width=\"271\" height=\"330\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<p> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u043c\u044b \u0443\u0436\u0435 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u0438\u043b\u0438 \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u043d\u0430 \u0433\u0440\u0430\u0444\u0438\u043a\u0435. <strong>&nbsp;<\/strong> \u041a\u0430\u043a \u0432\u0438\u0434\u0438\u0442\u0435, \u044d\u0442\u043e \u043d\u0435 \u0441\u043b\u043e\u0436\u043d\u043e, \u043f\u0440\u043e\u0441\u0442\u043e \u043d\u0443\u0436\u043d\u043e \u0441\u043d\u0430\u0447\u0430\u043b\u0430 \u0441\u043e\u0441\u0442\u0430\u0432\u0438\u0442\u044c \u0442\u0430\u0431\u043b\u0438\u0446\u0443 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0439, \u0430 \u0437\u0430\u0442\u0435\u043c \u043d\u0430\u043d\u0435\u0441\u0442\u0438 \u0442\u043e\u0447\u043a\u0438 \u043d\u0430 \u0433\u0440\u0430\u0444\u0438\u043a. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"como-calcular-una-funcion-lineal-o-afin-a-partir-de-dos-puntos\"><\/span> \u041a\u0430\u043a \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u043b\u0438\u043d\u0435\u0439\u043d\u0443\u044e \u0438\u043b\u0438 \u0430\u0444\u0444\u0438\u043d\u043d\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u043f\u043e \u0434\u0432\u0443\u043c \u0442\u043e\u0447\u043a\u0430\u043c<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0422\u0435\u043f\u0435\u0440\u044c \u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0438\u043c, \u043a\u0430\u043a \u043d\u0430\u0439\u0442\u0438 \u043b\u0438\u043d\u0435\u0439\u043d\u0443\u044e \u0438\u043b\u0438 \u0430\u0444\u0444\u0438\u043d\u043d\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u0438\u0437 \u0434\u0432\u0443\u0445 \u0442\u043e\u0447\u0435\u043a \u043d\u0430 \u043f\u0440\u0438\u043c\u0435\u0440\u0435:<\/p>\n<ul>\n<li> \u0412\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u0435 \u043b\u0438\u043d\u0435\u0439\u043d\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u044e, \u0443\u0434\u043e\u0432\u043b\u0435\u0442\u0432\u043e\u0440\u044f\u044e\u0449\u0443\u044e \u0443\u0441\u043b\u043e\u0432\u0438\u044e\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-dcaf3e57f968a5585f1fe8f7e07016e5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(3)=5\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"65\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0438 \u043f\u0440\u043e\u0439\u0442\u0438 \u0447\u0435\u0440\u0435\u0437 \u0442\u043e\u0447\u043a\u0443<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f59d9c3d732b06d58e1cd9513069cc4c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(1,-1).\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"57\" style=\"vertical-align: -5px;\"><\/p>\n<\/li>\n<\/ul>\n<p> \u041f\u0440\u0435\u0436\u0434\u0435 \u0432\u0441\u0435\u0433\u043e,<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-dcaf3e57f968a5585f1fe8f7e07016e5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(3)=5\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"65\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u042d\u0442\u043e \u043e\u0437\u043d\u0430\u0447\u0430\u0435\u0442, \u0447\u0442\u043e \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u043f\u0440\u043e\u0445\u043e\u0434\u0438\u0442 \u0447\u0435\u0440\u0435\u0437 \u0442\u043e\u0447\u043a\u0443<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8f8369540798772faed784207e58ae55_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(3,5)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"38\" style=\"vertical-align: -5px;\"><\/p>\n<p> .<\/p>\n<p> \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u0443 \u043d\u0430\u0441 \u0435\u0441\u0442\u044c \u0434\u0432\u0435 \u0442\u043e\u0447\u043a\u0438, \u0447\u0435\u0440\u0435\u0437 \u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u043f\u0440\u043e\u0445\u043e\u0434\u0438\u0442 \u0444\u0443\u043d\u043a\u0446\u0438\u044f, \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u043d\u0430\u043a\u043b\u043e\u043d<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6b41df788161942c6f98604d37de8098_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"15\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0444\u0443\u043d\u043a\u0446\u0438\u044f: <\/p>\n<div style=\"padding-top: 23px; padding-bottom: 0.5px; padding-right: 30px; padding-left: 30px; border: 2px dashed #FF9B28; border-radius:20px;\">\n<p style=\"text-align:left\"> \u0423\u0447\u0438\u0442\u044b\u0432\u0430\u044f \u0434\u0432\u0430 \u043c\u043e\u043c\u0435\u043d\u0442\u0430,<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d6f312097ed9f1bcf614aae0044c7765_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P_1=(x_1,y_1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"98\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0418<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6feb628a7385a800d321cbc982c2bcae_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P_2=(x_2,y_2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"98\" style=\"vertical-align: -5px;\"><\/p>\n<p> , \u0441\u043a\u043b\u043e\u043d<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6b41df788161942c6f98604d37de8098_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"15\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0432\u044b\u0447\u0438\u0441\u043b\u044f\u0435\u0442\u0441\u044f:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4a88e2c28902f606d97c18ba771d9c76_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m=\\cfrac{y_2-y_1}{x_2-x_1}\" title=\"Rendered by QuickLaTeX.com\" height=\"37\" width=\"99\" style=\"vertical-align: -15px;\"><\/p>\n<\/p>\n<\/div>\n<p> \u0412 \u043d\u0430\u0448\u0435\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u043f\u0440\u043e\u0445\u043e\u0434\u0438\u0442 \u0447\u0435\u0440\u0435\u0437 \u0442\u043e\u0447\u043a\u0438<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8f8369540798772faed784207e58ae55_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(3,5)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"38\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0418<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1cc5fe781d8432f7ebfcf92c0ed07e91_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(1,-1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"52\" style=\"vertical-align: -5px;\"><\/p>\n<p> . \u0418\u0442\u0430\u043a, \u043d\u0430\u043a\u043b\u043e\u043d<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6b41df788161942c6f98604d37de8098_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"15\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0444\u0443\u043d\u043a\u0446\u0438\u0438:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-02ea1d529b499f171f3ff18c468d0cf5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m=\\cfrac{y_2-y_1}{x_2-x_1}=\\cfrac{-1-5}{1-3} = \\cfrac{-6}{-2} = 3\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"274\" style=\"vertical-align: -15px;\"><\/p>\n<\/p>\n<p> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0431\u0443\u0434\u0435\u0442 \u0438\u043c\u0435\u0442\u044c \u0432\u0438\u0434:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f800c39c0283b89e9c100f86ac3aa569_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x) = mx+n \\ \\xrightarrow{m \\ = \\ 3} \\ f(x)=3x+n\" title=\"Rendered by QuickLaTeX.com\" height=\"24\" width=\"300\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u041a\u0430\u043a \u0442\u043e\u043b\u044c\u043a\u043e \u043c\u044b \u0443\u0437\u043d\u0430\u0435\u043c<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6b41df788161942c6f98604d37de8098_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"15\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u0440\u0430\u0437\u0433\u0430\u0434\u0430\u0442\u044c \u0442\u0430\u0439\u043d\u0443<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b170995d512c659d8668b4e42e1fef6b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> . \u0414\u043b\u044f \u044d\u0442\u043e\u0433\u043e \u043f\u043e\u0434\u0441\u0442\u0430\u0432\u0438\u043c \u0432 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b \u0442\u043e\u0447\u043a\u0438, \u043f\u0440\u0438\u043d\u0430\u0434\u043b\u0435\u0436\u0430\u0449\u0435\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438. \u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440 \u043f\u0443\u043d\u043a\u0442 (3.5):<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-111cff72f16afeb14bf0adc34ea12722_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x) = 3x+n \\ \\xrightarrow{x \\ = \\ 3 \\ ; \\ f(x) \\ = \\ 5} \\ 5=3\\cdot 3+n\" title=\"Rendered by QuickLaTeX.com\" height=\"27\" width=\"346\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0420\u0435\u0448\u0430\u0435\u043c \u043f\u043e\u043b\u0443\u0447\u0435\u043d\u043d\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6a383ecabacc56c374f2632b3309e646_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"5=3\\cdot 3+n\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"96\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4acdfe704344eeccbb4c0ce2aa8cb6d6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"5= 9 + n\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"74\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-cc095accd2a13223af51801296862fac_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"5-9=n\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"74\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0d38777454deed26667e36a226cc6770_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-4=n\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"56\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u043b\u0438\u043d\u0435\u0439\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-990c0a75a513e5f8d6669ce748eecd63_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{f(x)=3x-4}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"108\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-funciones-lineales-y-afines\"><\/span> \u0420\u0435\u0448\u0435\u043d\u043d\u044b\u0435 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f \u043d\u0430 \u043b\u0438\u043d\u0435\u0439\u043d\u044b\u0435 \u0438 \u0430\u0444\u0444\u0438\u043d\u043d\u044b\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u0438<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3 class=\"wp-block-heading\"> \u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 1<\/h3>\n<p> \u041e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435 \u043d\u0430\u043a\u043b\u043e\u043d \u0438 \u043d\u0430\u0447\u0430\u043b\u043e \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0439 \u0430\u0444\u0444\u0438\u043d\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9ff1c8dfeb32e0c75d6ecb9acbef4151_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=-5x-2\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"121\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u041f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u041b\u0438\u043d\u0435\u0439\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0438\u043c\u0435\u0435\u0442 \u0432\u0438\u0434<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3095199eaa883b4a577420057f14c9bf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=mx+n .\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"121\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u043d\u0430\u043a\u043b\u043e\u043d \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u2014 \u044d\u0442\u043e \u0447\u0438\u0441\u043b\u043e, \u043a\u043e\u0442\u043e\u0440\u043e\u0435 \u0441\u043e\u043f\u0440\u043e\u0432\u043e\u0436\u0434\u0430\u0435\u0442 <em>x<\/em> , \u043a\u043e\u0442\u043e\u0440\u043e\u0435 \u0432 \u0434\u0430\u043d\u043d\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u0440\u0430\u0432\u043d\u043e -5:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-838d2dc7b4e31dfa890c7bf46cf4c659_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{m=-5}\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"61\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0410 \u0442\u043e\u0447\u043a\u0430 \u043f\u0435\u0440\u0435\u0441\u0435\u0447\u0435\u043d\u0438\u044f \u043f\u043e \u043e\u0441\u0438 Y \u2014 \u044d\u0442\u043e \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u044b\u0439 \u0447\u043b\u0435\u043d, \u043a\u043e\u0442\u043e\u0440\u044b\u0439 \u0432 \u0434\u0430\u043d\u043d\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u0440\u0430\u0432\u0435\u043d -2: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-225005765465b924bc63ee2dac575ee4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{n=-2}\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"56\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 2<\/h3>\n<p> \u041f\u043e\u0441\u0442\u0440\u043e\u0439\u0442\u0435 \u0433\u0440\u0430\u0444\u0438\u043a \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0439 \u0430\u0444\u0444\u0438\u043d\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4ca04971231d90bc195d20cebd45226d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x+1\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"98\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u041f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u0421\u043d\u0430\u0447\u0430\u043b\u0430 \u043c\u044b \u043f\u0440\u0438\u0434\u0430\u0435\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ede05c264bba0eda080918aaa09c4658_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0441\u043e\u0437\u0434\u0430\u0442\u044c \u0442\u0430\u0431\u043b\u0438\u0446\u0443 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0439: <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-394\">\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8ffd3e516a1e47332c5458d96e0abc2f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 0 \\ \\longrightarrow \\ f(0)=0+1 = 1\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"221\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3256a22f5e49068792b52a4cb3f32e1c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 1 \\ \\longrightarrow \\ f(1)=1+1= 2\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"221\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d5eaf1ca05c3eeb0614616a12d4faf5c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 2 \\ \\longrightarrow \\ f(2)=2+1 = 3\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"222\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a4711b4b555b2beb6e1e65069045c827_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 3 \\ \\longrightarrow \\ f(3)=3+1 = 4\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"222\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3fd5f740b4ded3fb539f40bc4ff22598_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 4 \\ \\longrightarrow \\ f(4)=4+1 = 5\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"221\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-07a0daee6d389ad38ae336953e74212e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c|c} x &amp; f(x) \\\\ \\hline 0 &amp; 1 \\\\ 1 &amp; 2 \\\\ 2 &amp; 3 \\\\ 3 &amp; 4 \\\\ 4 &amp; 5 \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"134\" width=\"78\" style=\"vertical-align: -62px;\"><\/p>\n<\/p>\n<\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u0410 \u0437\u0430\u0442\u0435\u043c \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u043c \u0442\u043e\u0447\u043a\u0438 \u0438\u0437 \u0442\u0430\u0431\u043b\u0438\u0446\u044b \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0439 \u043d\u0430 \u0433\u0440\u0430\u0444\u0438\u043a\u0435 \u0438 \u043f\u0440\u043e\u0432\u043e\u0434\u0438\u043c \u043b\u0438\u043d\u0438\u044e: <\/p>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exemple-de-representation-d-une-fonction-lineaire-ou-affine.webp\" alt=\"\u043f\u0440\u0438\u043c\u0435\u0440 \u043b\u0438\u043d\u0435\u0439\u043d\u043e\u0439 \u0438\u043b\u0438 \u0430\u0444\u0444\u0438\u043d\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438\" class=\"wp-image-104\" width=\"298\" height=\"300\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\"> \u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 3<\/h3>\n<p> \u041f\u043e\u0441\u0442\u0440\u043e\u0439\u0442\u0435 \u043d\u0430 \u0433\u0440\u0430\u0444\u0438\u043a\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0443\u044e \u0430\u0444\u0444\u0438\u043d\u043d\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u044e: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4272bc4942f138baaa519097437b2bd9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=-2x+6\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"122\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u041f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u0421\u043d\u0430\u0447\u0430\u043b\u0430 \u043c\u044b \u043f\u0440\u0438\u0434\u0430\u0435\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ede05c264bba0eda080918aaa09c4658_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0441\u043e\u0437\u0434\u0430\u0442\u044c \u0442\u0430\u0431\u043b\u0438\u0446\u0443 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0439: <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-397\">\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-82c245e8a3c6926ba0fd3319d5d11e22_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 0 \\ \\longrightarrow \\ f(0)=-2\\cdot0+6=6\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"257\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8d4fbcfc157e581eef387c5ae9524207_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 1 \\ \\longrightarrow \\ f(1)=-2\\cdot1+6=4\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"257\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-64cea2a0c5df62d57ddd291a031bf2c7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 2 \\ \\longrightarrow \\ f(2)=-2\\cdot2+6=2\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"256\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0ee8f2f12cb377010e2b1edc1740551d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 3 \\ \\longrightarrow \\ f(3)=-2\\cdot3+6=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"257\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d8a970fcd4aabe974e7b43143e1c1662_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 4 \\ \\longrightarrow \\ f(4)=-2\\cdot4+6=-2\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"270\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9ae65b37659a4f19b4ff406cf985c52f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c|c} x &amp; f(x) \\\\ \\hline 0 &amp; 6 \\\\ 1 &amp; 4 \\\\ 2 &amp; 2 \\\\ 3 &amp; 0 \\\\ 4 &amp; -2 \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"134\" width=\"78\" style=\"vertical-align: -62px;\"><\/p>\n<\/p>\n<\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u0418 \u043d\u0430\u043a\u043e\u043d\u0435\u0446, \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u043c \u0442\u043e\u0447\u043a\u0438 \u0438\u0437 \u0442\u0430\u0431\u043b\u0438\u0446\u044b \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0439 \u043d\u0430 \u0433\u0440\u0430\u0444\u0438\u043a\u0435 \u0438 \u043f\u0440\u043e\u0432\u043e\u0434\u0438\u043c \u043b\u0438\u043d\u0438\u044e: <\/p>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exercice-resolu-etape-par-etape-de-la-fonction-lineaire-et-affine.webp\" alt=\"\u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 \u0440\u0435\u0448\u0430\u0435\u0442\u0441\u044f \u0448\u0430\u0433 \u0437\u0430 \u0448\u0430\u0433\u043e\u043c \u0434\u043b\u044f \u043b\u0438\u043d\u0435\u0439\u043d\u043e\u0439 \u0438 \u0430\u0444\u0444\u0438\u043d\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438\" class=\"wp-image-105\" width=\"285\" height=\"330\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\"> \u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 4<\/h3>\n<p> \u041d\u0430\u0439\u0434\u0438\u0442\u0435 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0435 \u0434\u043b\u044f \u0430\u0444\u0444\u0438\u043d\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438, \u043f\u0440\u043e\u0445\u043e\u0434\u044f\u0449\u0435\u0439 \u0447\u0435\u0440\u0435\u0437 \u0442\u043e\u0447\u043a\u0438 (2,3) \u0438 (0,1). <\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u041f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u0424\u0443\u043d\u043a\u0446\u0438\u044f \u043f\u0440\u043e\u0445\u043e\u0434\u0438\u0442 \u0447\u0435\u0440\u0435\u0437 \u0442\u043e\u0447\u043a\u0438 (2,3) \u0438 (0,1), \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u043d\u0430\u043a\u043b\u043e\u043d \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0440\u0430\u0432\u0435\u043d:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f4f10490753a418b0601db00acb61a8c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m=\\cfrac{y_2-y_1}{x_2-x_1}= \\cfrac{1-3}{0-2} =  \\cfrac{-2}{-2} = 1\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"251\" style=\"vertical-align: -15px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0418 \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0431\u0443\u0434\u0435\u0442 \u0438\u043c\u0435\u0442\u044c \u0432\u0438\u0434:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-80174e7bf0ea29ddc23f7bca21ec46e0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=mx+n \\ \\xrightarrow{m \\ = \\ 1} \\ f(x)=1x+n\" title=\"Rendered by QuickLaTeX.com\" height=\"24\" width=\"300\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0417\u043d\u0430\u044f <em>m,<\/em> \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c <em>n<\/em> . \u0414\u043b\u044f \u044d\u0442\u043e\u0433\u043e \u043d\u0430\u043c \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u043f\u043e\u0434\u0441\u0442\u0430\u0432\u0438\u0442\u044c \u0432 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b \u0442\u043e\u0447\u043a\u0438, \u043f\u0440\u0438\u043d\u0430\u0434\u043b\u0435\u0436\u0430\u0449\u0435\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438. \u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440 \u043f\u0443\u043d\u043a\u0442 (2,3):<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ffadb24154a49ca4808fad52f6330a98_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x+n \\ \\xrightarrow{x \\ = \\ 2 \\ ; \\ f(x) \\ = \\ 3}\" title=\"Rendered by QuickLaTeX.com\" height=\"27\" width=\"230\" style=\"vertical-align: -5px;\"><\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1e5cb38630c489d48c4adb35288c325a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"3=2+n\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"74\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0422\u0435\u043f\u0435\u0440\u044c \u043d\u0430\u043c \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u0440\u0435\u0448\u0438\u0442\u044c \u043f\u043e\u043b\u0443\u0447\u0435\u043d\u043d\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-82a2b13b17155458c1cfbc94d8a6f88c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"3-2=n\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"74\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f995cf70a3bdfa97f5e6e43d1eb07e79_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"1 = n\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"43\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u043c\u0443 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u044e: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-29c9618eec0cecf4ff1e3f05777f2a63_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{f(x)=x+1}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"98\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 5<\/h3>\n<p> \u041f\u043e\u0441\u0442\u0440\u043e\u0439\u0442\u0435 \u0433\u0440\u0430\u0444\u0438\u043a \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0439 \u0430\u0444\u0444\u0438\u043d\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-dca0572b440601ddb5b528a0756584f1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=2x-1\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"107\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u041f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u0421\u043d\u0430\u0447\u0430\u043b\u0430 \u043c\u044b \u043f\u0440\u0438\u0434\u0430\u0435\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ede05c264bba0eda080918aaa09c4658_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0441\u043e\u0437\u0434\u0430\u0442\u044c \u0442\u0430\u0431\u043b\u0438\u0446\u0443 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0439: <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-400\">\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-27331248cc252b7e2a6be76fde869f0a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 0 \\ \\longrightarrow \\ f(0)=2\\cdot0-1=-1\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"256\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d6116a53149febdbcded873f845f0446_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 1 \\ \\longrightarrow \\ f(1)=2\\cdot1-1=1\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"242\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-93fea3471744dd8e7edff0fef0911358_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 2 \\ \\longrightarrow \\ f(2)=2\\cdot2-1=3\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"243\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-082c427704a99dd49b676178475e0e8a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 3 \\ \\longrightarrow \\ f(3)=2\\cdot3-1=5\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"242\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ee4ce2e65971139e1148bcc04f5156dd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 4 \\ \\longrightarrow \\ f(4)=2\\cdot4-1=7\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"243\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6a5b457023582bcda44b49a7b32e51fc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c|c} x &amp; f(x) \\\\ \\hline 0 &amp; -1 \\\\ 1 &amp; 1 \\\\ 2 &amp; 3 \\\\ 3 &amp; 5 \\\\ 4 &amp; 7 \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"134\" width=\"78\" style=\"vertical-align: -62px;\"><\/p>\n<\/p>\n<\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u0410 \u0437\u0430\u0442\u0435\u043c \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u043c \u0442\u043e\u0447\u043a\u0438 \u0438\u0437 \u0442\u0430\u0431\u043b\u0438\u0446\u044b \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0439 \u043d\u0430 \u0433\u0440\u0430\u0444\u0438\u043a\u0435 \u0438 \u043f\u0440\u043e\u0432\u043e\u0434\u0438\u043c \u043b\u0438\u043d\u0438\u044e: <\/p>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exercices-resolus-pour-representer-graphiquement-une-fonction-lineaire-ou-affine.webp\" alt=\"\u0420\u0435\u0448\u0435\u043d\u043d\u044b\u0435 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f \u0434\u043b\u044f \u043f\u043e\u0441\u0442\u0440\u043e\u0435\u043d\u0438\u044f \u0433\u0440\u0430\u0444\u0438\u043a\u0430 \u043b\u0438\u043d\u0435\u0439\u043d\u043e\u0439 \u0438\u043b\u0438 \u0430\u0444\u0444\u0438\u043d\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438\" class=\"wp-image-106\" width=\"288\" height=\"332\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\"> \u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 6<\/h3>\n<p> \u0412\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u0435 \u043b\u0438\u043d\u0435\u0439\u043d\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u044e, \u0443\u0434\u043e\u0432\u043b\u0435\u0442\u0432\u043e\u0440\u044f\u044e\u0449\u0443\u044e \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u043c \u0434\u0432\u0443\u043c \u0443\u0441\u043b\u043e\u0432\u0438\u044f\u043c: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a3d1692f49f622f3167c7b58da6553eb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}f(3) =-2 \\\\[3ex] f(-1)=6 \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"64\" width=\"80\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u041f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u041f\u0443\u0441\u0442\u044c \u044d\u0442\u043e \u0441\u0431\u0443\u0434\u0435\u0442\u0441\u044f<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-de991e61c8f0c76be20d28dcd3b5ec63_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(3)=-2\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"79\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u042d\u0442\u043e \u043e\u0437\u043d\u0430\u0447\u0430\u0435\u0442, \u0447\u0442\u043e \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u043f\u0440\u043e\u0445\u043e\u0434\u0438\u0442 \u0447\u0435\u0440\u0435\u0437 \u0442\u043e\u0447\u043a\u0443 (3,-2). \u0418 \u0442\u0430\u043a\u0438\u043c \u0436\u0435 \u043e\u0431\u0440\u0430\u0437\u043e\u043c,<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-08e6a3dd72034cf812c9ec3371bccbb7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(-1)=6\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"80\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u042d\u0442\u043e \u043e\u0437\u043d\u0430\u0447\u0430\u0435\u0442, \u0447\u0442\u043e \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u043f\u0440\u043e\u0445\u043e\u0434\u0438\u0442 \u0447\u0435\u0440\u0435\u0437 \u0442\u043e\u0447\u043a\u0443 (-1,6).<\/p>\n<p class=\"has-text-align-left\"> \u0418\u0442\u0430\u043a, \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u043f\u0440\u043e\u0445\u043e\u0434\u0438\u0442 \u0447\u0435\u0440\u0435\u0437 \u0442\u043e\u0447\u043a\u0438 (3,-2) \u0438 (-1,6), \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u0435\u0435 \u043d\u0430\u043a\u043b\u043e\u043d \u0440\u0430\u0432\u0435\u043d:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-509c7a10c079fd4147be9e5a6db9731f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m=\\cfrac{y_2-y_1}{x_2-x_1}= \\cfrac{6-(-2)}{-1-3} =  \\cfrac{8}{-4} = -2\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"285\" style=\"vertical-align: -15px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0431\u0443\u0434\u0435\u0442 \u0438\u043c\u0435\u0442\u044c \u0432\u0438\u0434:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1833407e00cf7092ca41513f80c963e3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=mx+n \\ \\xrightarrow{m \\ = \\ -2} \\ f(x)=-2x+n\" title=\"Rendered by QuickLaTeX.com\" height=\"24\" width=\"324\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0418 \u043a\u0430\u043a \u0442\u043e\u043b\u044c\u043a\u043e \u043c\u044b \u0443\u0437\u043d\u0430\u0435\u043c <em>m,<\/em> \u043c\u044b \u0441\u043c\u043e\u0436\u0435\u043c \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c <em>n<\/em> . \u0414\u043b\u044f \u044d\u0442\u043e\u0433\u043e \u043f\u043e\u0434\u0441\u0442\u0430\u0432\u0438\u043c \u0432 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b \u0442\u043e\u0447\u043a\u0438, \u043f\u0440\u0438\u043d\u0430\u0434\u043b\u0435\u0436\u0430\u0449\u0435\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438. \u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440 \u0442\u043e\u0447\u043a\u0430 (3,-2):<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f5c91af073f3a11f71681315cba7d3ac_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=-2x+n \\ \\xrightarrow{x \\ = \\ 3 \\ ; \\ f(x) \\ = \\ -2} \\ -2=-2(3)+n\" title=\"Rendered by QuickLaTeX.com\" height=\"27\" width=\"399\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0418 \u0440\u0435\u0448\u0430\u0435\u043c \u043f\u043e\u043b\u0443\u0447\u0435\u043d\u043d\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-56b34b13f1ca6690edf49b273faf8e47_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-2=-6+n\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"101\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-35e58196fb8bcc421558f84060bc0abe_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-2+6=n\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"87\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-bafe7c1342021b2f12487ec1b624d9e9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"4 = n\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"44\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0442\u0430\u043a\u043e\u0432\u0430: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2817bf14204167be08e3289249900e05_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{f(x)=-2x+4}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"122\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 7<\/h3>\n<p> \u041d\u0430\u0439\u0434\u0438\u0442\u0435 \u0430\u0444\u0444\u0438\u043d\u043d\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u044e, \u043a\u043e\u0442\u043e\u0440\u0443\u044e \u043e\u043d \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u0435\u0442.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7752d35fe272bb4d90b00bf9985ffb63_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(1) =6\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"66\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0438 \u043f\u0440\u043e\u0445\u043e\u0434\u0438\u0442 \u0447\u0435\u0440\u0435\u0437 \u0442\u043e\u0447\u043a\u0443 (3.5). <\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u041f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u041f\u0443\u0441\u0442\u044c \u044d\u0442\u043e \u0441\u0431\u0443\u0434\u0435\u0442\u0441\u044f<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-87c967e7ae983729b88590e501c2b69d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(1)=6\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"66\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u042d\u0442\u043e \u043e\u0437\u043d\u0430\u0447\u0430\u0435\u0442, \u0447\u0442\u043e \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u043f\u0440\u043e\u0445\u043e\u0434\u0438\u0442 \u0447\u0435\u0440\u0435\u0437 \u0442\u043e\u0447\u043a\u0443 (1,6).<\/p>\n<p class=\"has-text-align-left\"> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u043f\u0440\u043e\u0445\u043e\u0434\u0438\u0442 \u0447\u0435\u0440\u0435\u0437 \u0442\u043e\u0447\u043a\u0438 (1.6) \u0438 (3.5), \u0438 \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u0435\u0435 \u043d\u0430\u043a\u043b\u043e\u043d \u0440\u0430\u0432\u0435\u043d:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-25be93e89790b6ff41c7ad200b22475d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m=\\cfrac{y_2-y_1}{x_2-x_1}= \\cfrac{5-6}{3-1} =  \\cfrac{-1}{2} = -\\cfrac{1}{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"268\" style=\"vertical-align: -15px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0431\u0443\u0434\u0435\u0442 \u0438\u043c\u0435\u0442\u044c \u0432\u0438\u0434:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-357e8e8231ddfc481d6cab7afd462b29_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x)=mx+n \\ \\xrightarrow{m \\ = \\ -\\frac{1}{2}} \\ f(x)=-\\frac{1}{2}x+n\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"331\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0417\u043d\u0430\u044f \u0442\u0435\u0440\u043c\u0438\u043d <em>m,<\/em> \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442 <em>n<\/em> . \u0414\u043b\u044f \u044d\u0442\u043e\u0433\u043e \u043f\u043e\u0434\u0441\u0442\u0430\u0432\u0438\u043c \u0432 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b \u0442\u043e\u0447\u043a\u0438, \u043f\u0440\u0438\u043d\u0430\u0434\u043b\u0435\u0436\u0430\u0449\u0435\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438. \u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440 \u0442\u043e\u0447\u043a\u0430 (1,6):<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e29097997af1faaad2a3cf090735e93b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x)=-\\frac{1}{2}x+n \\ \\xrightarrow{x \\ = \\ 1 \\ ; \\ f(x) \\ = \\ 6} \\ 6=-\\frac{1}{2}\\cdot 1+n\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"382\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0420\u0435\u0448\u0430\u0435\u043c \u043f\u043e\u043b\u0443\u0447\u0435\u043d\u043d\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-408ca3818c086b1dce8b47368a15bfd5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"6=-\\cfrac{1}{2}+n\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"90\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-972080f9f560be2c94e6d60ceb4b68f6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"6+\\cfrac{1}{2}=n\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"76\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u041f\u043e\u043c\u043d\u0438\u0442\u0435, \u0447\u0442\u043e \u0434\u043b\u044f \u0441\u043b\u043e\u0436\u0435\u043d\u0438\u044f \u0434\u0440\u043e\u0431\u0435\u0439 \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u0441\u043d\u0430\u0447\u0430\u043b\u0430 \u043f\u0440\u0438\u0432\u0435\u0441\u0442\u0438 \u0438\u0445 \u043a \u043e\u0431\u0449\u0435\u043c\u0443 \u0437\u043d\u0430\u043c\u0435\u043d\u0430\u0442\u0435\u043b\u044e, \u0430 \u0437\u0430\u0442\u0435\u043c \u0441\u043b\u043e\u0436\u0438\u0442\u044c \u0447\u0438\u0441\u043b\u0438\u0442\u0435\u043b\u0438: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b0fdf111f0ee471be66bf09dedb3113f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{2 \\cdot 6}{2} +\\cfrac{1 \\cdot 1}{2}=n\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"119\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4bcf8f895f3b9dbc94eeb771599de7a5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{12}{2} +\\cfrac{1}{2}=n\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"85\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ce0c299c5e810194441adaaa77052141_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{13}{2}=n\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"52\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0442\u0430\u043a\u043e\u0432\u0430:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5d52b77879b38c968ace696be9d9d8bc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\bm{f(x)=-}\\mathbf{\\frac{1}{2}}\\bm{x +}\\mathbf{\\frac{13}{2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"133\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 8<\/h3>\n<p> \u0420\u0435\u0448\u0438\u0442\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0443\u044e \u0437\u0430\u0434\u0430\u0447\u0443, \u0441\u0432\u044f\u0437\u0430\u043d\u043d\u0443\u044e \u0441 \u043b\u0438\u043d\u0435\u0439\u043d\u044b\u043c\u0438 \u0438 \u0430\u0444\u0444\u0438\u043d\u043d\u044b\u043c\u0438 \u0444\u0443\u043d\u043a\u0446\u0438\u044f\u043c\u0438:<\/p>\n<p> \u041c\u0430\u0433\u0430\u0437\u0438\u043d \u043f\u0440\u043e\u0434\u0430\u0435\u0442 40 \u0435\u0434\u0438\u043d\u0438\u0446 \u0442\u043e\u0432\u0430\u0440\u0430 \u043f\u0440\u0438 \u0446\u0435\u043d\u0435 15 \u0435\u0432\u0440\u043e \u0437\u0430 \u0435\u0434\u0438\u043d\u0438\u0446\u0443 \u0438 65 \u0435\u0434\u0438\u043d\u0438\u0446 \u043f\u0440\u0438 \u0446\u0435\u043d\u0435 10 \u0435\u0432\u0440\u043e \u0437\u0430 \u0435\u0434\u0438\u043d\u0438\u0446\u0443.<\/p>\n<ul>\n<li> \u0420\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u0439\u0442\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u0441\u043f\u0440\u043e\u0441\u0430 \u043d\u0430 \u043f\u0440\u043e\u0434\u0443\u043a\u0442, \u043f\u0440\u0435\u0434\u043f\u043e\u043b\u0430\u0433\u0430\u044f, \u0447\u0442\u043e \u044d\u0442\u043e \u0430\u0444\u0444\u0438\u043d\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f.<\/li>\n<li> \u0421\u043a\u043e\u043b\u044c\u043a\u043e \u0435\u0434\u0438\u043d\u0438\u0446 \u0431\u0443\u0434\u0435\u0442 \u043f\u0440\u043e\u0434\u0430\u043d\u043e, \u0435\u0441\u043b\u0438 \u0446\u0435\u043d\u0430 \u0431\u0443\u0434\u0435\u0442 \u0443\u0441\u0442\u0430\u043d\u043e\u0432\u043b\u0435\u043d\u0430 \u043d\u0430 \u0443\u0440\u043e\u0432\u043d\u0435 12 \u0435\u0432\u0440\u043e \u0437\u0430 \u0435\u0434\u0438\u043d\u0438\u0446\u0443? <\/li>\n<\/ul>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u041f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u041f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u044d\u0442\u043e \u0430\u0444\u0444\u0438\u043d\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f, \u043e\u043d\u0430 \u0431\u0443\u0434\u0435\u0442 \u0438\u043c\u0435\u0442\u044c \u0442\u0438\u043f<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3095199eaa883b4a577420057f14c9bf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=mx+n .\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"121\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0417\u043e\u043b\u043e\u0442\u043e<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ede05c264bba0eda080918aaa09c4658_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0431\u0443\u0434\u0435\u0442 \u0446\u0435\u043d\u0430 \u0437\u0430 \u0435\u0434\u0438\u043d\u0438\u0446\u0443 \u043f\u0440\u043e\u0434\u0443\u043a\u0446\u0438\u0438 \u0438<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a7ee323bc5a3f73ad5e066b13bed5504_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"34\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0431\u0443\u0434\u0443\u0442 \u043f\u0440\u043e\u0434\u0430\u043d\u044b \u0435\u0434\u0438\u043d\u0438\u0446\u044b.<\/p>\n<p class=\"has-text-align-left\"> \u0412 \u043f\u0440\u0435\u0441\u0441-\u0440\u0435\u043b\u0438\u0437\u0435 \u0441\u043e\u043e\u0431\u0449\u0430\u0435\u0442\u0441\u044f, \u0447\u0442\u043e \u043f\u0440\u0438 \u0446\u0435\u043d\u0435 15 \u0435\u0432\u0440\u043e \u0437\u0430 \u0435\u0434\u0438\u043d\u0438\u0446\u0443 \u043f\u0440\u043e\u0434\u0430\u0435\u0442\u0441\u044f 40 \u0435\u0434\u0438\u043d\u0438\u0446. \u041f\u043e\u044d\u0442\u043e\u043c\u0443, \u043a\u0430\u043a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ede05c264bba0eda080918aaa09c4658_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u044d\u0442\u043e \u0446\u0435\u043d\u0430 \u0438<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a7ee323bc5a3f73ad5e066b13bed5504_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"34\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u043f\u0440\u043e\u0434\u0430\u043d\u043d\u044b\u0445 \u0435\u0434\u0438\u043d\u0438\u0446, \u0434\u043e\u043b\u0436\u043d\u043e \u0441\u043e\u0431\u043b\u044e\u0434\u0430\u0442\u044c\u0441\u044f \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0435 \u0440\u0430\u0432\u0435\u043d\u0441\u0442\u0432\u043e:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-30c972565ef68f3789b5e1b1e105b66b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(15)=40\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"84\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0410 \u043a\u043e\u0433\u0434\u0430 \u0446\u0435\u043d\u0430 \u0441\u043e\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u0442 10 \u0435\u0432\u0440\u043e \u0437\u0430 \u0435\u0434\u0438\u043d\u0438\u0446\u0443, \u043f\u0440\u043e\u0434\u0430\u0435\u0442\u0441\u044f 65 \u0435\u0434\u0438\u043d\u0438\u0446. \u0418\u0442\u0430\u043a, \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u044f \u0442\u0435 \u0436\u0435 \u0440\u0430\u0441\u0441\u0443\u0436\u0434\u0435\u043d\u0438\u044f:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0c374f04a1aa91c4595ced5978e19ec0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(10)=65\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"83\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u041f\u0443\u0441\u0442\u044c \u044d\u0442\u043e \u0441\u0431\u0443\u0434\u0435\u0442\u0441\u044f<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-30c972565ef68f3789b5e1b1e105b66b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(15)=40\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"84\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u042d\u0442\u043e \u043e\u0437\u043d\u0430\u0447\u0430\u0435\u0442, \u0447\u0442\u043e \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u043f\u0440\u043e\u0445\u043e\u0434\u0438\u0442 \u0447\u0435\u0440\u0435\u0437 \u0442\u043e\u0447\u043a\u0443 (15.40). \u0418<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0c374f04a1aa91c4595ced5978e19ec0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(10)=65\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"83\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u042d\u0442\u043e \u043e\u0437\u043d\u0430\u0447\u0430\u0435\u0442, \u0447\u0442\u043e \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u043f\u0440\u043e\u0445\u043e\u0434\u0438\u0442 \u0447\u0435\u0440\u0435\u0437 \u0442\u043e\u0447\u043a\u0443 (10.65).<\/p>\n<p class=\"has-text-align-left\"> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u043d\u0430\u043a\u043b\u043e\u043d \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0440\u0430\u0432\u0435\u043d:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-19d12bc43ba65997543514a46a424301_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m=\\cfrac{y_2-y_1}{x_2-x_1}= \\cfrac{65-40}{10-15} =  \\cfrac{25}{-5} = -5\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"275\" style=\"vertical-align: -15px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0431\u0443\u0434\u0435\u0442 \u0438\u043c\u0435\u0442\u044c \u0432\u0438\u0434:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c653a8902579c75163dfb0efa71a9c2f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=mx+n \\ \\xrightarrow{m \\ = \\ -5} \\ f(x)=-5x+n\" title=\"Rendered by QuickLaTeX.com\" height=\"24\" width=\"324\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0417\u043d\u0430\u044f <em>m,<\/em> \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c <em>n<\/em> . \u0414\u043b\u044f \u044d\u0442\u043e\u0433\u043e \u043f\u043e\u0434\u0441\u0442\u0430\u0432\u0438\u043c \u0432 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b \u0442\u043e\u0447\u043a\u0438, \u043f\u0440\u0438\u043d\u0430\u0434\u043b\u0435\u0436\u0430\u0449\u0435\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438. \u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \u0442\u043e\u0447\u043a\u0430 (15:40):<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f043edeab26099d2c05be4109b39e4e2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=-5x+n \\ \\xrightarrow{x \\ = \\ 15 \\ ; \\ f(x) \\ = \\ 40} \\ 40=-5\\cdot 15+n\" title=\"Rendered by QuickLaTeX.com\" height=\"27\" width=\"405\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0418 \u0440\u0435\u0448\u0430\u0435\u043c \u043f\u043e\u043b\u0443\u0447\u0435\u043d\u043d\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9d17b5b0000974efdedcaddc0c0e7404_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"40=-75+n\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"106\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8f40a79e7be9eb350f20e18fcfe08675_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"40+75=n\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"92\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-be394c1a643fe670a57cd4c371148bbe_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"115 = n\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"60\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u0444\u0443\u043d\u043a\u0446\u0438\u044f, \u043a\u043e\u0442\u043e\u0440\u0430\u044f \u0441\u0432\u044f\u0437\u044b\u0432\u0430\u0435\u0442 \u043e\u0431\u044a\u0435\u043c \u043f\u0440\u043e\u0434\u0430\u0436 \u0441 \u0446\u0435\u043d\u043e\u0439, \u0438\u043c\u0435\u0435\u0442 \u0432\u0438\u0434:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2d1f8a22eae1bc5a4f7de6429df736e7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{f(x)=-5x+115}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"139\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0421 \u0434\u0440\u0443\u0433\u043e\u0439 \u0441\u0442\u043e\u0440\u043e\u043d\u044b, \u0432 \u0444\u0443\u043d\u043a\u0446\u0438\u0438<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ede05c264bba0eda080918aaa09c4658_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u0442 \u0446\u0435\u043d\u0443. \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0447\u0442\u043e\u0431\u044b \u0443\u0437\u043d\u0430\u0442\u044c, \u0441\u043a\u043e\u043b\u044c\u043a\u043e \u0435\u0434\u0438\u043d\u0438\u0446 \u0431\u0443\u0434\u0435\u0442 \u043f\u0440\u043e\u0434\u0430\u043d\u043e \u043f\u0440\u0438 \u0446\u0435\u043d\u0435 12 \u0435\u0432\u0440\u043e \u0437\u0430 \u0435\u0434\u0438\u043d\u0438\u0446\u0443, \u043c\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u0442\u044c <\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-de2b2b66a522f43df538a99d24f91a2e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(12):\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"51\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c5d1377b45096930b54887788e3890d1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=-5x+115 \\ \\xrightarrow{x \\ = \\ 12} \\ f(12)=-5\\cdot 12+115\" title=\"Rendered by QuickLaTeX.com\" height=\"24\" width=\"382\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-72ca5e4fc71841fca17d0fa3281805e4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(12)=-60+115\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"145\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7de4fca9d520f20befbecd9d1234bfc0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(12)=\\bm{55}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"83\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u0435\u0441\u043b\u0438 \u0446\u0435\u043d\u0430 \u0441\u043e\u0441\u0442\u0430\u0432\u0438\u0442 12 \u0435\u0432\u0440\u043e \u0437\u0430 \u0435\u0434\u0438\u043d\u0438\u0446\u0443 <strong>, \u0431\u0443\u0434\u0435\u0442 \u043f\u0440\u043e\u0434\u0430\u043d\u043e 55 \u0435\u0434\u0438\u043d\u0438\u0446.<\/strong><\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u0412 \u044d\u0442\u043e\u0439 \u0441\u0442\u0430\u0442\u044c\u0435 \u0432\u044b \u043d\u0430\u0439\u0434\u0435\u0442\u0435 \u043e\u0431\u044a\u044f\u0441\u043d\u0435\u043d\u0438\u0435 \u0430\u0444\u0444\u0438\u043d\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0438 \u043b\u0438\u043d\u0435\u0439\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438, \u0430 \u0442\u0430\u043a\u0436\u0435 \u0440\u0430\u0437\u043b\u0438\u0447\u0438\u0439, \u0441\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u044e\u0449\u0438\u0445 \u043c\u0435\u0436\u0434\u0443 \u044d\u0442\u0438\u043c\u0438 \u0434\u0432\u0443\u043c\u044f \u0442\u0438\u043f\u0430\u043c\u0438 \u0444\u0443\u043d\u043a\u0446\u0438\u0439. \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u0432\u044b \u0443\u0432\u0438\u0434\u0438\u0442\u0435 \u043f\u0440\u0438\u043c\u0435\u0440\u044b \u0442\u043e\u0433\u043e, \u043a\u0430\u043a \u043f\u043e\u0441\u0442\u0440\u043e\u0438\u0442\u044c \u0433\u0440\u0430\u0444\u0438\u043a \u0430\u0444\u0444\u0438\u043d\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0438 \u043b\u0438\u043d\u0435\u0439\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0438 \u043a\u0430\u043a \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0438\u0445 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u044f \u0438\u0437 \u0434\u0432\u0443\u0445 \u0442\u043e\u0447\u0435\u043a. \u041d\u0430\u043a\u043e\u043d\u0435\u0446, \u0432\u044b \u0441\u043c\u043e\u0436\u0435\u0442\u0435 \u0442\u0440\u0435\u043d\u0438\u0440\u043e\u0432\u0430\u0442\u044c\u0441\u044f, \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u044f \u043d\u0435\u0441\u043a\u043e\u043b\u044c\u043a\u043e \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0439, \u0440\u0435\u0448\u0430\u044f \u0448\u0430\u0433 \u0437\u0430 \u0448\u0430\u0433\u043e\u043c. \u0427\u0442\u043e \u0442\u0430\u043a\u043e\u0435 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ru\/%d0%bb%d0%b8%d0%bd%d0%b5%d0%b8%d0%bd%d0%b0%d1%8f-%d0%b8-%d0%b0%d1%84%d1%84%d0%b8%d0%bd%d0%bd%d0%b0%d1%8f-%d1%84%d1%83%d0%bd%d0%ba%d1%86%d0%b8%d1%8f\/\"> <span class=\"screen-reader-text\">\u041b\u0438\u043d\u0435\u0439\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0438 \u0430\u0444\u0444\u0438\u043d\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f<\/span> \u0427\u0438\u0442\u0430\u0442\u044c \u0434\u0430\u043b\u0435\u0435 &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[17],"tags":[],"class_list":["post-9","post","type-post","status-publish","format-standard","hentry","category-17"],"yoast_head":"<!-- This site is optimized 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