{"id":229,"date":"2023-07-10T22:50:09","date_gmt":"2023-07-10T22:50:09","guid":{"rendered":"https:\/\/mathority.org\/ru\/%d1%83%d1%80%d0%b0%d0%b2%d0%bd%d0%b5%d0%bd%d0%b8%d0%b5-%d1%82%d0%be%d1%87%d0%ba%d0%b8-%d0%bd%d0%b0%d0%ba%d0%bb%d0%be%d0%bd-%d0%bb%d0%b8%d0%bd%d0%b8%d0%b8-%d1%84%d0%be%d1%80%d0%bc%d1%83%d0%bb%d1%8b\/"},"modified":"2023-07-10T22:50:09","modified_gmt":"2023-07-10T22:50:09","slug":"%d1%83%d1%80%d0%b0%d0%b2%d0%bd%d0%b5%d0%bd%d0%b8%d0%b5-%d1%82%d0%be%d1%87%d0%ba%d0%b8-%d0%bd%d0%b0%d0%ba%d0%bb%d0%be%d0%bd-%d0%bb%d0%b8%d0%bd%d0%b8%d0%b8-%d1%84%d0%be%d1%80%d0%bc%d1%83%d0%bb%d1%8b","status":"publish","type":"post","link":"https:\/\/mathority.org\/ru\/%d1%83%d1%80%d0%b0%d0%b2%d0%bd%d0%b5%d0%bd%d0%b8%d0%b5-%d1%82%d0%be%d1%87%d0%ba%d0%b8-%d0%bd%d0%b0%d0%ba%d0%bb%d0%be%d0%bd-%d0%bb%d0%b8%d0%bd%d0%b8%d0%b8-%d1%84%d0%be%d1%80%d0%bc%d1%83%d0%bb%d1%8b\/","title":{"rendered":"\u0422\u043e\u0447\u043a\u0430 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u2013 \u043d\u0430\u043a\u043b\u043e\u043d \u043b\u0438\u043d\u0438\u0438"},"content":{"rendered":"<p>\u041d\u0430 \u044d\u0442\u043e\u0439 \u0441\u0442\u0440\u0430\u043d\u0438\u0446\u0435 \u0432\u044b \u043d\u0430\u0439\u0434\u0435\u0442\u0435 \u0444\u043e\u0440\u043c\u0443\u043b\u0443 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u0442\u043e\u0447\u043a\u0438-\u043d\u0430\u043a\u043b\u043e\u043d\u0430 \u043b\u0438\u043d\u0438\u0438, \u0430 \u0442\u0430\u043a\u0436\u0435 \u0440\u0430\u0437\u043b\u0438\u0447\u043d\u044b\u0435 \u0441\u043f\u043e\u0441\u043e\u0431\u044b \u0435\u0435 \u0440\u0430\u0441\u0447\u0435\u0442\u0430. \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u0432\u044b \u0441\u043c\u043e\u0436\u0435\u0442\u0435 \u0443\u0432\u0438\u0434\u0435\u0442\u044c \u043d\u0435\u0441\u043a\u043e\u043b\u044c\u043a\u043e \u043f\u0440\u0438\u043c\u0435\u0440\u043e\u0432 \u0438 \u043f\u043e\u043f\u0440\u0430\u043a\u0442\u0438\u043a\u043e\u0432\u0430\u0442\u044c\u0441\u044f \u0432 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f\u0445, \u0440\u0435\u0448\u0430\u0435\u043c\u044b\u0445 \u0448\u0430\u0433 \u0437\u0430 \u0448\u0430\u0433\u043e\u043c. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-ecuacion-punto-pendiente-de-la-recta\"><\/span> \u0424\u043e\u0440\u043c\u0443\u043b\u0430 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u0442\u043e\u0447\u043a\u0438-\u043d\u0430\u043a\u043b\u043e\u043d\u0430 \u043b\u0438\u043d\u0438\u0438<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0423\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043d\u0430\u043a\u043b\u043e\u043d\u0430 \u0442\u043e\u0447\u043a\u0438 \u043b\u0438\u043d\u0438\u0438 \u2014 \u044d\u0442\u043e \u0441\u043f\u043e\u0441\u043e\u0431 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u043e\u0433\u043e \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u044f \u043b\u0438\u043d\u0438\u0438. \u0412 \u0447\u0430\u0441\u0442\u043d\u043e\u0441\u0442\u0438, \u0432\u0430\u043c \u043d\u0443\u0436\u043d\u044b \u0442\u043e\u043b\u044c\u043a\u043e \u043d\u0430\u043a\u043b\u043e\u043d \u0438 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b \u0442\u043e\u0447\u043a\u0438 \u043d\u0430 \u043b\u0438\u043d\u0438\u0438, \u0447\u0442\u043e\u0431\u044b \u043d\u0430\u0439\u0442\u0438 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043d\u0430\u043a\u043b\u043e\u043d\u0430 \u0442\u043e\u0447\u043a\u0438 \u043d\u0430 \u043b\u0438\u043d\u0438\u0438. <\/p>\n<div style=\"background-color:#FFCC8080;padding-top: 20px; padding-bottom: 0.5px; padding-right: 30px; padding-left: 30px; border: 2px solid #FFB74D; border-radius:20px;\">\n<p style=\"text-align:left\"> <strong>\u0424\u043e\u0440\u043c\u0443\u043b\u0430 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u0442\u043e\u0447\u043a\u0438-\u043d\u0430\u043a\u043b\u043e\u043d\u0430 \u043b\u0438\u043d\u0438\u0438<\/strong> \u0432\u044b\u0433\u043b\u044f\u0434\u0438\u0442 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\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-3441e1da8c7da5805b1133af77b14f60_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y-y_0=m(x-x_0)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"149\" 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-0ef0a49d51c8cfd13e37df1b9090418b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x_0, y_0\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"42\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u044d\u0442\u043e \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b \u0442\u043e\u0447\u043a\u0438 \u043d\u0430 \u043f\u0440\u044f\u043c\u043e\u0439<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-cf65a6c806bfd1aa7b641e609d9d4490_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x_0,y_0).\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"74\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<\/div>\n<p> \u0414\u0430\u0432\u0430\u0439\u0442\u0435 \u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0438\u043c <strong>, \u043a\u0430\u043a \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u044b\u0432\u0430\u0435\u0442\u0441\u044f \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0442\u043e\u0447\u043a\u0438-\u043d\u0430\u043a\u043b\u043e\u043d\u0430 \u043b\u0438\u043d\u0438\u0438<\/strong> \u043d\u0430 \u043f\u0440\u0438\u043c\u0435\u0440\u0435:<\/p>\n<ul>\n<li> \u041d\u0430\u043f\u0438\u0448\u0438\u0442\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0443\u0433\u043b\u0430 \u043d\u0430\u043a\u043b\u043e\u043d\u0430 \u043f\u0440\u044f\u043c\u043e\u0439, \u043f\u0440\u043e\u0445\u043e\u0434\u044f\u0449\u0435\u0439 \u0447\u0435\u0440\u0435\u0437 \u0442\u043e\u0447\u043a\u0443.\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d2b2d9d38efcc8624f90eef92208f4e2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(2,-1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"66\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0438 \u0443\u043a\u043b\u043e\u043d m=3.<\/li>\n<\/ul>\n<p> \u0424\u043e\u0440\u043c\u0443\u043b\u0430 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u0442\u043e\u0447\u043a\u0438-\u043d\u0430\u043a\u043b\u043e\u043d\u0430 \u043b\u0438\u043d\u0438\u0438 \u0432\u044b\u0433\u043b\u044f\u0434\u0438\u0442 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\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-3441e1da8c7da5805b1133af77b14f60_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y-y_0=m(x-x_0)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"149\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0412 \u044d\u0442\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u0443\u0442\u0432\u0435\u0440\u0436\u0434\u0435\u043d\u0438\u0435 \u0441\u043e\u043e\u0431\u0449\u0430\u0435\u0442 \u043d\u0430\u043c, \u0447\u0442\u043e \u043d\u0430\u043a\u043b\u043e\u043d \u043b\u0438\u043d\u0438\u0438 \u0440\u0430\u0432\u0435\u043d m=3, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043b\u0438\u043d\u0438\u0438 \u0431\u0443\u0434\u0435\u0442 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\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-4063450c1658fa496145cc18a36ff1bc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y-y_0=3(x-x_0)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"142\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u043c\u044b \u0442\u0430\u043a\u0436\u0435 \u0437\u043d\u0430\u0435\u043c, \u0447\u0442\u043e \u043f\u0440\u044f\u043c\u0430\u044f \u043f\u0440\u043e\u0445\u043e\u0434\u0438\u0442 \u0447\u0435\u0440\u0435\u0437 \u0442\u043e\u0447\u043a\u0443<\/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-d2b2d9d38efcc8624f90eef92208f4e2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(2,-1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"66\" style=\"vertical-align: -5px;\"><\/p>\n<p> , \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u043c\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u043f\u043e\u0434\u0441\u0442\u0430\u0432\u0438\u0442\u044c \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b \u044d\u0442\u043e\u0439 \u0442\u043e\u0447\u043a\u0438 \u0432 \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-d2b2d9d38efcc8624f90eef92208f4e2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(2,-1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"66\" 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-5cd50c0d1730e27ca68d517d5c9adc76_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y-y_0=3(x-x_0) \\ \\xrightarrow{x_0=2 \\ ; \\ y_0=-1} \\ y-(-1)=3(x-2)\" title=\"Rendered by QuickLaTeX.com\" height=\"25\" width=\"419\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043d\u0430\u043a\u043b\u043e\u043d\u0430 \u0442\u043e\u0447\u043a\u0438 \u043b\u0438\u043d\u0438\u0438 \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-f6ea4a8565fcf350fb588d891a0cf9fc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{y+1=3(x-2)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"126\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0418\u043c\u0435\u0439\u0442\u0435 \u0432 \u0432\u0438\u0434\u0443, \u0447\u0442\u043e \u043f\u043e\u043c\u0438\u043c\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u0442\u043e\u0447\u043a\u0438-\u043d\u0430\u043a\u043b\u043e\u043d\u0430, \u0441\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u044e\u0442 \u0438 \u0434\u0440\u0443\u0433\u0438\u0435 \u0441\u043f\u043e\u0441\u043e\u0431\u044b \u0430\u043d\u0430\u043b\u0438\u0442\u0438\u0447\u0435\u0441\u043a\u043e\u0433\u043e \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u044f \u043b\u0438\u043d\u0438\u0438: \u0432\u0435\u043a\u0442\u043e\u0440\u043d\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435, \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u0438\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f, \u043d\u0435\u043f\u0440\u0435\u0440\u044b\u0432\u043d\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435, \u043d\u0435\u044f\u0432\u043d\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 (\u0438\u043b\u0438 \u043e\u0431\u0449\u0435\u0435) \u0438 \u044f\u0432\u043d\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043b\u0438\u043d\u0438\u0438. \u0415\u0441\u043b\u0438 \u0432\u0430\u0441 \u0431\u043e\u043b\u044c\u0448\u0435 \u0438\u043d\u0442\u0435\u0440\u0435\u0441\u0443\u0435\u0442, \u0432\u044b \u043c\u043e\u0436\u0435\u0442\u0435 \u043f\u0440\u043e\u0432\u0435\u0440\u0438\u0442\u044c, \u0447\u0442\u043e \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u0442 \u0441\u043e\u0431\u043e\u0439 \u043a\u0430\u0436\u0434\u044b\u0439 \u0438\u0437 \u043d\u0438\u0445, \u043d\u0430 \u043d\u0430\u0448\u0435\u043c \u0441\u0430\u0439\u0442\u0435. <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-significa-la-pendiente-de-una-recta\"><\/span> \u0427\u0442\u043e \u043e\u0437\u043d\u0430\u0447\u0430\u0435\u0442 \u043d\u0430\u043a\u043b\u043e\u043d \u043b\u0438\u043d\u0438\u0438?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> \u041a\u0430\u043a \u043c\u044b \u0432\u0438\u0434\u0435\u043b\u0438 \u0432 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0438 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u0442\u043e\u0447\u043a\u0438-\u043d\u0430\u043a\u043b\u043e\u043d\u0430 \u043b\u0438\u043d\u0438\u0438, \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440<\/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. \u041d\u043e \u043d\u0430 \u0441\u0430\u043c\u043e\u043c \u0434\u0435\u043b\u0435\u2026 \u0447\u0442\u043e \u043e\u0437\u043d\u0430\u0447\u0430\u0435\u0442 \u043d\u0430\u043a\u043b\u043e\u043d \u043b\u0438\u043d\u0438\u0438? \u0414\u0430\u0432\u0430\u0439\u0442\u0435 \u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0438\u043c \u043d\u0430 \u044d\u0442\u043e \u043d\u0430 \u0433\u0440\u0430\u0444\u0438\u0447\u0435\u0441\u043a\u043e\u043c \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u0438\u0438 \u043b\u0438\u043d\u0438\u0438: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/point-pente-equation.webp\" alt=\"\u0427\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043d\u0430\u043a\u043b\u043e\u043d\u0430 \u0442\u043e\u0447\u043a\u0438 \u043f\u0440\u044f\u043c\u043e\u0439?\" class=\"wp-image-1590\" width=\"317\" height=\"318\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> <strong>\u041d\u0430\u043a\u043b\u043e\u043d \u043b\u0438\u043d\u0438\u0438<\/strong> \u0443\u043a\u0430\u0437\u044b\u0432\u0430\u0435\u0442 \u043d\u0430 \u0435\u0435 \u043a\u0440\u0443\u0442\u0438\u0437\u043d\u0443. \u041a\u0430\u043a \u0432\u0438\u0434\u043d\u043e \u0438\u0437 \u043b\u0438\u043d\u0438\u0438 \u0433\u0440\u0430\u0444\u0438\u043a\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-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> \u0440\u0430\u0432\u043d\u043e 2, \u0442\u0430\u043a \u043a\u0430\u043a \u043b\u0438\u043d\u0438\u044f \u043f\u043e\u0434\u043d\u0438\u043c\u0430\u0435\u0442\u0441\u044f \u043d\u0430 2 \u0435\u0434\u0438\u043d\u0438\u0446\u044b \u043f\u043e \u0432\u0435\u0440\u0442\u0438\u043a\u0430\u043b\u0438 \u0437\u0430 1 \u0435\u0434\u0438\u043d\u0438\u0446\u0443 \u043f\u043e \u0433\u043e\u0440\u0438\u0437\u043e\u043d\u0442\u0430\u043b\u0438.<\/p>\n<p> \u041e\u0447\u0435\u0432\u0438\u0434\u043d\u043e, \u0447\u0442\u043e \u0435\u0441\u043b\u0438 \u043d\u0430\u043a\u043b\u043e\u043d \u043f\u043e\u043b\u043e\u0436\u0438\u0442\u0435\u043b\u0435\u043d, \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0432\u043e\u0437\u0440\u0430\u0441\u0442\u0430\u0435\u0442 (\u0443\u0445\u043e\u0434\u0438\u0442 \u0432\u0432\u0435\u0440\u0445), \u0430 \u0435\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 \u0443\u0431\u044b\u0432\u0430\u0435\u0442 (\u0443\u043c\u0435\u043d\u044c\u0448\u0430\u0435\u0442\u0441\u044f).<\/p>\n<h4 class=\"wp-block-heading\"> \u041a\u0430\u043a \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u0442\u044c \u043d\u0430\u043a\u043b\u043e\u043d \u043b\u0438\u043d\u0438\u0438<\/h4>\n<p> \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u0441\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u0435\u0442 \u0442\u0440\u0438 \u0440\u0430\u0437\u043b\u0438\u0447\u043d\u044b\u0445 \u0441\u043f\u043e\u0441\u043e\u0431\u0430 \u0447\u0438\u0441\u043b\u0435\u043d\u043d\u043e\u0433\u043e \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u043d\u0430\u043a\u043b\u043e\u043d\u0430 \u043b\u0438\u043d\u0438\u0438:<\/p>\n<ol style=\"color:#ff6f00; font-weight: bold;>\n<li><span style=\" color:#262626;font-weight:=\"\" normal;\"=\"\">\n<li style=\"margin-bottom:18px\"><span style=\"color:#000000;font-weight: normal;\">\u0414\u0430\u043d\u044b \u0434\u0432\u0435 \u0440\u0430\u0437\u043d\u044b\u0435 \u0442\u043e\u0447\u043a\u0438 \u043d\u0430 \u043f\u0440\u044f\u043c\u043e\u0439\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-99906702500e51b12e2859cc804a7b57_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=\"74\" style=\"vertical-align: -5px;\"><\/p>\n<p><\/span> \u0418<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-460a66d684215738da922dc45a35aed0_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=\"79\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u041d\u0430\u043a\u043b\u043e\u043d \u043b\u0438\u043d\u0438\u0438 \u0440\u0430\u0432\u0435\u043d:<\/li>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6ca826248e812d4f19056960777cb00f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m = \\cfrac{\\Delta y}{\\Delta x} = \\cfrac{y_2-y_1}{x_2-x_1}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"150\" style=\"vertical-align: -15px;\"><\/p>\n<\/p>\n<li style=\"margin-bottom:18px\"> <span style=\"color:#000000;font-weight: normal;\">\u0410\u0433\u0430\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-867fb10d1409b3d95ff447f6a095219d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{v}}= (\\text{v}_1,\\text{v}_2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"88\" style=\"vertical-align: -5px;\"><\/p>\n<p><\/span> \u2013 \u0432\u0435\u043a\u0442\u043e\u0440 \u043d\u0430\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u044f \u043b\u0438\u043d\u0438\u0438, \u0435\u0435 \u043d\u0430\u043a\u043b\u043e\u043d:<\/li>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-60d899a76c2b7588e60dc3734a47019f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m = \\cfrac{\\text{v}_2}{\\text{v}_1}\" title=\"Rendered by QuickLaTeX.com\" height=\"37\" width=\"59\" style=\"vertical-align: -15px;\"><\/p>\n<\/p>\n<li style=\"margin-bottom:18px\"> <span style=\"color:#000000;font-weight: normal;\">\u0410\u0433\u0430\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8f0b6b1a01f8fcc2f95be0364c090397_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\alpha\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p><\/span> &#8212; \u0443\u0433\u043e\u043b, \u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u043d\u044b\u0439 \u043b\u0438\u043d\u0438\u0435\u0439 \u0441 \u043e\u0441\u044c\u044e \u0430\u0431\u0441\u0446\u0438\u0441\u0441 (\u043e\u0441\u044c X), \u043d\u0430\u043a\u043b\u043e\u043d \u043b\u0438\u043d\u0438\u0438 \u044d\u043a\u0432\u0438\u0432\u0430\u043b\u0435\u043d\u0442\u0435\u043d \u0442\u0430\u043d\u0433\u0435\u043d\u0441\u0443 \u0443\u043a\u0430\u0437\u0430\u043d\u043d\u043e\u0433\u043e \u0443\u0433\u043b\u0430: <\/li>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c76cc82b1d172b2b5af3b053752befac_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m = \\text{tg}(\\alpha )\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"79\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<\/ol>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/formule-de-l-equation-explicite-d-une-ligne.webp\" alt=\"\u0444\u043e\u0440\u043c\u0443\u043b\u0430 \u044f\u0432\u043d\u043e\u0433\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u043b\u0438\u043d\u0438\u0438\" class=\"wp-image-1465\" width=\"288\" height=\"356\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<h4 class=\"wp-block-heading\"> \u041e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0435 \u043f\u043e\u043b\u043e\u0436\u0435\u043d\u0438\u0435 \u043b\u0438\u043d\u0438\u0439<\/h4>\n<p> \u041d\u0430\u043a\u043e\u043d\u0435\u0446, \u043d\u0430\u043a\u043b\u043e\u043d \u043b\u0438\u043d\u0438\u0438 \u0442\u0430\u043a\u0436\u0435 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u0442\u0441\u044f \u0434\u043b\u044f \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0432\u0437\u0430\u0438\u043c\u043e\u0441\u0432\u044f\u0437\u0438 \u043c\u0435\u0436\u0434\u0443 \u043d\u0435\u0441\u043a\u043e\u043b\u044c\u043a\u0438\u043c\u0438 \u043b\u0438\u043d\u0438\u044f\u043c\u0438. \u041f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u0434\u0432\u0435 <strong>\u043f\u0430\u0440\u0430\u043b\u043b\u0435\u043b\u044c\u043d\u044b\u0435<\/strong> \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 \u0438, \u0441 \u0434\u0440\u0443\u0433\u043e\u0439 \u0441\u0442\u043e\u0440\u043e\u043d\u044b, \u0435\u0441\u043b\u0438 \u043d\u0430\u043a\u043b\u043e\u043d \u043e\u0434\u043d\u043e\u0439 \u043b\u0438\u043d\u0438\u0438 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0439 \u0432\u0435\u043b\u0438\u0447\u0438\u043d\u043e\u0439, \u043e\u0431\u0440\u0430\u0442\u043d\u043e\u0439 \u043d\u0430\u043a\u043b\u043e\u043d\u0443 \u0434\u0440\u0443\u0433\u043e\u0439 \u043b\u0438\u043d\u0438\u0438, \u044d\u0442\u043e \u043e\u0437\u043d\u0430\u0447\u0430\u0435\u0442, \u0447\u0442\u043e \u044d\u0442\u0438 \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> . <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-161\">\n<div class=\"wp-block-column is-layout-flow\">\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/lignes-paralleles-pente-dune-ligne.webp\" alt=\"\u043f\u0430\u0440\u0430\u043b\u043b\u0435\u043b\u044c\u043d\u044b\u0435 \u043f\u0440\u044f\u043c\u044b\u0435 \u0441 \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u044b\u043c \u043d\u0430\u043a\u043b\u043e\u043d\u043e\u043c\" class=\"wp-image-1550\" width=\"200\" height=\"201\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/lignes-perpendiculaires-pente-d-une-ligne.webp\" alt=\"\" class=\"wp-image-1551\" width=\"176\" height=\"260\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<\/div>\n<\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"calcular-la-ecuacion-punto-pendiente-de-la-recta-que-pasa-por-dos-puntos\"><\/span> \u0412\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043d\u0430\u043a\u043b\u043e\u043d\u0430 \u0442\u043e\u0447\u043a\u0438 \u043b\u0438\u043d\u0438\u0438, \u043f\u0440\u043e\u0445\u043e\u0434\u044f\u0449\u0435\u0439 \u0447\u0435\u0440\u0435\u0437 \u0434\u0432\u0435 \u0442\u043e\u0447\u043a\u0438.<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u041e\u0447\u0435\u043d\u044c \u0440\u0430\u0441\u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0435\u043d\u043d\u043e\u0439 \u043f\u0440\u043e\u0431\u043b\u0435\u043c\u043e\u0439 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u043d\u0430\u043a\u043b\u043e\u043d\u0430 \u0442\u043e\u0447\u043a\u0438 \u043f\u043e \u0434\u0432\u0443\u043c \u0442\u043e\u0447\u043a\u0430\u043c, \u043f\u0440\u0438\u043d\u0430\u0434\u043b\u0435\u0436\u0430\u0449\u0438\u043c \u043f\u0440\u044f\u043c\u043e\u0439. \u0414\u0430\u0432\u0430\u0439\u0442\u0435 \u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0438\u043c, \u043a\u0430\u043a \u043e\u043d\u0430 \u0440\u0435\u0448\u0430\u0435\u0442\u0441\u044f \u043d\u0430 \u043f\u0440\u0438\u043c\u0435\u0440\u0435:<\/p>\n<ul>\n<li> \u041d\u0430\u0439\u0434\u0438\u0442\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043d\u0430\u043a\u043b\u043e\u043d\u0430 \u0442\u043e\u0447\u043a\u0438 \u043b\u0438\u043d\u0438\u0438, \u043f\u0440\u043e\u0445\u043e\u0434\u044f\u0449\u0435\u0439 \u0447\u0435\u0440\u0435\u0437 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u0434\u0432\u0435 \u0442\u043e\u0447\u043a\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-2eedda183214849aae2330021a513130_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P_1(5,2) \\qquad P_2(3,6)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"152\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0427\u0442\u043e\u0431\u044b \u043d\u0430\u0439\u0442\u0438 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043d\u0430\u043a\u043b\u043e\u043d\u0430 \u0442\u043e\u0447\u043a\u0438 \u043b\u0438\u043d\u0438\u0438, \u043d\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c, \u043a\u0430\u043a\u043e\u0432 \u043d\u0430\u043a\u043b\u043e\u043d \u043b\u0438\u043d\u0438\u0438. \u0418\u0442\u0430\u043a, \u043c\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u044f\u0435\u043c \u043d\u0430\u043a\u043b\u043e\u043d \u043b\u0438\u043d\u0438\u0438, \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u044f \u0444\u043e\u0440\u043c\u0443\u043b\u0443 \u0434\u0432\u043e\u0435\u0442\u043e\u0447\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-355e91b09882111b8826f4bfe5d33698_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m =\\cfrac{\\Delta y}{\\Delta x}=\\cfrac{y_2-y_1}{x_2-x_1} = \\cfrac{6-2}{3-5} = \\cfrac{4}{-2}= -2\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"308\" style=\"vertical-align: -15px;\"><\/p>\n<\/p>\n<p> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043d\u0430\u043a\u043b\u043e\u043d\u0430 \u0442\u043e\u0447\u043a\u0438 \u043b\u0438\u043d\u0438\u0438 \u0431\u0443\u0434\u0435\u0442 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\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-3441e1da8c7da5805b1133af77b14f60_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y-y_0=m(x-x_0)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"149\" 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-bce5bf62dac701d1295a97495bafcac4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y-y_0=-2(x-x_0)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"156\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u043d\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u043b\u0438\u0448\u044c \u043f\u043e\u0434\u0441\u0442\u0430\u0432\u0438\u0442\u044c \u0432 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0434\u0435\u043a\u0430\u0440\u0442\u043e\u0432\u044b \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b \u0442\u043e\u0447\u043a\u0438 \u043d\u0430 \u043f\u0440\u044f\u043c\u043e\u0439: <\/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-a03a686f78d6b7326bf8047caa76b8f8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P_1(5,2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"58\" 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-b0ef1c00c03b4a297e716ee315f99504_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y-y_0=-2(x-x_0) \\ \\xrightarrow{x_0=5 \\ ; \\ y_0=2} \\ y-2=-2(x-5)\" title=\"Rendered by QuickLaTeX.com\" height=\"25\" width=\"408\" 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-b11cf352f48c55c068de6d1d36f9f51f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{y-2=-2(x-5)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"140\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0422\u0430\u043a\u0436\u0435 \u0445\u043e\u0440\u043e\u0448\u043e, \u0435\u0441\u043b\u0438 \u043c\u044b \u043f\u043e\u043c\u0435\u0441\u0442\u0438\u043c \u0434\u0440\u0443\u0433\u0443\u044e \u0442\u043e\u0447\u043a\u0443 \u0443\u0442\u0432\u0435\u0440\u0436\u0434\u0435\u043d\u0438\u044f \u0432 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043b\u0438\u043d\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-e806d8b8c196642821eee52b8c199107_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P_1(3,6)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"58\" 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-988654f7c8782517dc9dabe3fca4a206_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y-6=-2(x-3)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"140\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"hallar-la-ecuacion-punto-pendiente-de-una-recta-a-partir-de-la-grafica\"><\/span> \u041d\u0430\u0439\u0434\u0438\u0442\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043d\u0430\u043a\u043b\u043e\u043d\u0430 \u0442\u043e\u0447\u043a\u0438 \u043b\u0438\u043d\u0438\u0438 \u043f\u043e \u0433\u0440\u0430\u0444\u0438\u043a\u0443<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u041a\u0430\u043a \u043c\u044b \u0432\u0438\u0434\u0435\u043b\u0438 \u0432 \u0440\u0430\u0437\u0434\u0435\u043b\u0430\u0445 \u0432\u044b\u0448\u0435, \u0441\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u0435\u0442 \u043d\u0435\u0441\u043a\u043e\u043b\u044c\u043a\u043e \u0441\u043f\u043e\u0441\u043e\u0431\u043e\u0432 \u0447\u0438\u0441\u043b\u0435\u043d\u043d\u043e\u0433\u043e \u043d\u0430\u0445\u043e\u0436\u0434\u0435\u043d\u0438\u044f \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u043d\u0430\u043a\u043b\u043e\u043d\u0430 \u0442\u043e\u0447\u043a\u0438 \u043b\u0438\u043d\u0438\u0438. \u041e\u0434\u043d\u0430\u043a\u043e \u0435\u0433\u043e \u043c\u043e\u0436\u043d\u043e \u043d\u0430\u0439\u0442\u0438 \u0438 \u0433\u0440\u0430\u0444\u0438\u0447\u0435\u0441\u043a\u0438. \u0414\u0430\u0432\u0430\u0439\u0442\u0435 \u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0438\u043c, \u043a\u0430\u043a \u044d\u0442\u043e \u0434\u0435\u043b\u0430\u0435\u0442\u0441\u044f, \u043d\u0430 \u043f\u0440\u0438\u043c\u0435\u0440\u0435:<\/p>\n<ul>\n<li> \u041e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043d\u0430\u043a\u043b\u043e\u043d\u0430 \u0442\u043e\u0447\u043a\u0438 \u0434\u043b\u044f \u043b\u0438\u043d\u0438\u0438, \u043f\u043e\u043a\u0430\u0437\u0430\u043d\u043d\u043e\u0439 \u043d\u0430 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u043c \u0433\u0440\u0430\u0444\u0438\u043a\u0435: <\/li>\n<\/ul>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/point-pente-ligne-equation.webp\" alt=\"\u0433\u0440\u0430\u0444\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u0438\u0437\u043e\u0431\u0440\u0430\u0436\u0435\u043d\u0438\u0435 \u043b\u0438\u043d\u0438\u0438\" class=\"wp-image-1606\" width=\"314\" height=\"315\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> \u0427\u0442\u043e\u0431\u044b \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043d\u0430\u043a\u043b\u043e\u043d\u0430 \u0442\u043e\u0447\u043a\u0438 \u0434\u043b\u044f \u043d\u0430\u0440\u0438\u0441\u043e\u0432\u0430\u043d\u043d\u043e\u0439 \u043b\u0438\u043d\u0438\u0438, \u043d\u0430\u043c \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u043d\u0430\u0439\u0442\u0438 \u0435\u0435 \u043d\u0430\u043a\u043b\u043e\u043d \u0438 \u0442\u043e\u0447\u043a\u0443 \u043d\u0430 \u043b\u0438\u043d\u0438\u0438.<\/p>\n<p> \u0412 \u0434\u0430\u043d\u043d\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u043d\u0430\u043a\u043b\u043e\u043d \u043b\u0438\u043d\u0438\u0438 \u0440\u0430\u0432\u0435\u043d 3, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u043b\u0438\u043d\u0438\u044f \u043f\u043e\u0434\u043d\u0438\u043c\u0430\u0435\u0442\u0441\u044f \u043d\u0430 3 \u0432\u0435\u0440\u0442\u0438\u043a\u0430\u043b\u044c\u043d\u044b\u0435 \u0435\u0434\u0438\u043d\u0438\u0446\u044b \u043d\u0430 \u043a\u0430\u0436\u0434\u0443\u044e \u0433\u043e\u0440\u0438\u0437\u043e\u043d\u0442\u0430\u043b\u044c\u043d\u0443\u044e \u0435\u0434\u0438\u043d\u0438\u0446\u0443.<\/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-0082d45adbb746641eb28f250a819459_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m = 3\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"48\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0414\u0430\u043b\u0435\u0435 \u043d\u0430\u043c \u043d\u0443\u0436\u043d\u0430 \u0442\u043e\u0447\u043a\u0430 \u043d\u0430 \u043b\u0438\u043d\u0438\u0438. \u0414\u043b\u044f \u044d\u0442\u043e\u0433\u043e \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u0432\u044b\u0431\u0440\u0430\u0442\u044c \u043b\u044e\u0431\u0443\u044e \u0442\u043e\u0447\u043a\u0443 \u043d\u0430 \u0433\u0440\u0430\u0444\u0438\u043a\u0435, \u0447\u0435\u0440\u0435\u0437 \u043a\u043e\u0442\u043e\u0440\u0443\u044e \u043f\u0440\u043e\u0445\u043e\u0434\u0438\u0442 \u043b\u0438\u043d\u0438\u044f, \u043d\u0430\u043f\u0440\u0438\u043c\u0435\u0440 \u0442\u043e\u0447\u043a\u0443 (1,1).<\/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-cc3450ac38bb3acc76eae31215c49b82_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(1,1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"52\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0442\u0435\u043f\u0435\u0440\u044c \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u043d\u0430\u0439\u0442\u0438 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043d\u0430\u043a\u043b\u043e\u043d\u0430 \u0442\u043e\u0447\u043a\u0438 \u043b\u0438\u043d\u0438\u0438, \u043f\u0440\u0438\u043c\u0435\u043d\u0438\u0432 \u0435\u0433\u043e \u0444\u043e\u0440\u043c\u0443\u043b\u0443:<\/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-3441e1da8c7da5805b1133af77b14f60_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y-y_0=m(x-x_0)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"149\" 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-829ac7a79e34c45087cbfb472eacb856_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y-1=3(x-1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"126\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/determiner-lequation-point-pente-dune-ligne-graphiquement.webp\" alt=\"\u0433\u0440\u0430\u0444\u0438\u0447\u0435\u0441\u043a\u0438 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c \u043d\u0430\u043a\u043b\u043e\u043d \u0442\u043e\u0447\u043a\u0438 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u043f\u0440\u044f\u043c\u043e\u0439\" class=\"wp-image-1607\" width=\"314\" height=\"315\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-la-ecuacion-punto-pendiente-de-la-recta\"><\/span> \u0420\u0435\u0448\u0435\u043d\u043d\u044b\u0435 \u0437\u0430\u0434\u0430\u0447\u0438 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u0442\u043e\u0447\u043a\u0438-\u043d\u0430\u043a\u043b\u043e\u043d\u0430<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> \u041d\u0430\u043f\u0438\u0448\u0438\u0442\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0443\u0433\u043b\u0430 \u043d\u0430\u043a\u043b\u043e\u043d\u0430 \u043f\u0440\u044f\u043c\u043e\u0439, \u043f\u0440\u043e\u0445\u043e\u0434\u044f\u0449\u0435\u0439 \u0447\u0435\u0440\u0435\u0437 \u0442\u043e\u0447\u043a\u0443.<\/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-3e4a894322ba599f7554e658df9395ce_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(1,4)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"52\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0438 \u0435\u0433\u043e \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-2e3505d96cc978cbd5e9fefda94605f3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m=-2.\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"66\" 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__E4F0FE\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E4F0FE\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u043f\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\u043e\u0440\u043c\u0443\u043b\u0430 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u0442\u043e\u0447\u043a\u0438-\u043d\u0430\u043a\u043b\u043e\u043d\u0430 \u043b\u0438\u043d\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-3441e1da8c7da5805b1133af77b14f60_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y-y_0=m(x-x_0)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"149\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0412 \u044d\u0442\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u0443\u0442\u0432\u0435\u0440\u0436\u0434\u0435\u043d\u0438\u0435 \u0441\u043e\u043e\u0431\u0449\u0430\u0435\u0442 \u043d\u0430\u043c, \u0447\u0442\u043e \u043d\u0430\u043a\u043b\u043e\u043d \u043b\u0438\u043d\u0438\u0438 \u0440\u0430\u0432\u0435\u043d m=-2, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043b\u0438\u043d\u0438\u0438 \u0431\u0443\u0434\u0435\u0442 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\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-bce5bf62dac701d1295a97495bafcac4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y-y_0=-2(x-x_0)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"156\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u0438\u0437 \u0443\u0442\u0432\u0435\u0440\u0436\u0434\u0435\u043d\u0438\u044f \u043c\u044b \u0442\u0430\u043a\u0436\u0435 \u0437\u043d\u0430\u0435\u043c, \u0447\u0442\u043e \u043f\u0440\u044f\u043c\u0430\u044f \u043f\u0440\u043e\u0445\u043e\u0434\u0438\u0442 \u0447\u0435\u0440\u0435\u0437 \u0442\u043e\u0447\u043a\u0443<\/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-3e4a894322ba599f7554e658df9395ce_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(1,4)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"52\" style=\"vertical-align: -5px;\"><\/p>\n<p> , \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u0434\u043e\u0441\u0442\u0430\u0442\u043e\u0447\u043d\u043e \u043f\u043e\u0434\u0441\u0442\u0430\u0432\u0438\u0442\u044c \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b \u0442\u043e\u0447\u043a\u0438 \u0432 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043f\u0440\u044f\u043c\u043e\u0439: <\/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-3e4a894322ba599f7554e658df9395ce_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(1,4)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"52\" 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-7e8f25bcb8e24f35f3ad9e64dbeab604_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{y-4=-2(x-1)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"140\" 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 2<\/h3>\n<p> \u041a\u0430\u043a\u043e\u0432\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0443\u0433\u043b\u0430 \u043d\u0430\u043a\u043b\u043e\u043d\u0430 \u043b\u0438\u043d\u0438\u0438, \u043f\u0440\u043e\u0445\u043e\u0434\u044f\u0449\u0435\u0439 \u0447\u0435\u0440\u0435\u0437 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u0434\u0432\u0435 \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-1d87f163111868ca87a1e0d33e7373e9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P_1(1,6) \\qquad P_2(4,0)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"152\" 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__E4F0FE\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E4F0FE\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u043f\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\"> \u0427\u0442\u043e\u0431\u044b \u043d\u0430\u0439\u0442\u0438 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043d\u0430\u043a\u043b\u043e\u043d\u0430 \u0442\u043e\u0447\u043a\u0438 \u043b\u0438\u043d\u0438\u0438, \u043d\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c, \u043a\u0430\u043a\u043e\u0432 \u043d\u0430\u043a\u043b\u043e\u043d \u043b\u0438\u043d\u0438\u0438. \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u043c\u044b \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u044b\u0432\u0430\u0435\u043c \u043d\u0430\u043a\u043b\u043e\u043d \u043b\u0438\u043d\u0438\u0438 \u043f\u043e \u0435\u0435 \u0444\u043e\u0440\u043c\u0443\u043b\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-6587ef8551123fada18e66a19b120672_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m =\\cfrac{\\Delta y}{\\Delta x}=\\cfrac{y_2-y_1}{x_2-x_1} = \\cfrac{0-6}{4-1} = \\cfrac{-6}{3}= -2\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"316\" 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, \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043d\u0430\u043a\u043b\u043e\u043d\u0430 \u0442\u043e\u0447\u043a\u0438 \u043b\u0438\u043d\u0438\u0438 \u0431\u0443\u0434\u0435\u0442 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\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-3441e1da8c7da5805b1133af77b14f60_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y-y_0=m(x-x_0)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"149\" 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-bce5bf62dac701d1295a97495bafcac4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y-y_0=-2(x-x_0)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"156\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u043d\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u043b\u0438\u0448\u044c \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 \u043d\u0430 \u043f\u0440\u044f\u043c\u043e\u0439: <\/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-bcbff883ed57a03d2b8c0ad3d99fbd8c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P_1(1,6)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"58\" 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-65df3bba32eb4d9dc32e16c8c26fd81f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{y-6=-2(x-1)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"140\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0411\u044b\u043b\u043e \u0431\u044b \u0442\u0430\u043a\u0436\u0435 \u043f\u0440\u0430\u0432\u0438\u043b\u044c\u043d\u043e \u0432\u043a\u043b\u044e\u0447\u0438\u0442\u044c \u0432 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0438 \u0434\u0440\u0443\u0433\u0443\u044e \u0442\u043e\u0447\u043a\u0443 \u0443\u0442\u0432\u0435\u0440\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-e45755fe2812135fe1f4e39b3157fcf9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y=-2(x-4)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"109\" 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 3<\/h3>\n<p> \u041d\u0430\u0439\u0434\u0438\u0442\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043d\u0430\u043a\u043b\u043e\u043d\u0430 \u0442\u043e\u0447\u043a\u0438 \u043b\u0438\u043d\u0438\u0438, \u043f\u0440\u043e\u0445\u043e\u0434\u044f\u0449\u0435\u0439 \u0447\u0435\u0440\u0435\u0437 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u0434\u0432\u0435 \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-fd4450de7b302ee03cef55687c1e7b01_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P_1(1,-2) \\qquad P_2(2,3)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"165\" 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__E4F0FE\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E4F0FE\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u043f\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\"> \u0427\u0442\u043e\u0431\u044b \u043d\u0430\u0439\u0442\u0438 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043d\u0430\u043a\u043b\u043e\u043d\u0430 \u0442\u043e\u0447\u043a\u0438 \u043b\u0438\u043d\u0438\u0438, \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u0441\u043d\u0430\u0447\u0430\u043b\u0430 \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0435\u0435 \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-194cde1d2e3ba81c4bfce5bf0244c51a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m =\\cfrac{\\Delta y}{\\Delta x}=\\cfrac{y_2-y_1}{x_2-x_1} = \\cfrac{3-(-2)}{2-1} = \\cfrac{3+2}{1}=\\cfrac{5}{1}= 5\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"373\" 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, \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043d\u0430\u043a\u043b\u043e\u043d\u0430 \u0442\u043e\u0447\u043a\u0438 \u043b\u0438\u043d\u0438\u0438 \u0431\u0443\u0434\u0435\u0442 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\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-3441e1da8c7da5805b1133af77b14f60_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y-y_0=m(x-x_0)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"149\" 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-7d740b976c2c72700bfcd9562e1d6236_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y-y_0=5(x-x_0)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"142\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u043d\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u043b\u0438\u0448\u044c \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 \u043d\u0430 \u043f\u0440\u044f\u043c\u043e\u0439: <\/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-bd29b3293380effcfb027a6b7aec2252_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P_1(1,-2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"72\" 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-ba331d69618f15f523d0bef9b28673f1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y-(-2)=5(x-1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"154\" 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-0b7256b1d7a60559de4cbad1ffe360a1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{y+2=5(x-1)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"126\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0422\u0430\u043a\u0436\u0435 \u043f\u0440\u0430\u0432\u0438\u043b\u044c\u043d\u043e \u043f\u043e\u0441\u0442\u0430\u0432\u0438\u0442\u044c \u0434\u0440\u0443\u0433\u0443\u044e \u0442\u043e\u0447\u043a\u0443 \u0432 \u0443\u0442\u0432\u0435\u0440\u0436\u0434\u0435\u043d\u0438\u0438 \u0432 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043f\u0440\u044f\u043c\u043e\u0439: <\/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-66fd02f8e38dc1b0a598a1a384e697c3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y-3=5(x-2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"126\" 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 4<\/h3>\n<p> \u0420\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u0439\u0442\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043d\u0430\u043a\u043b\u043e\u043d\u0430 \u0442\u043e\u0447\u043a\u0438 \u0434\u043b\u044f \u043b\u0438\u043d\u0438\u0438, \u043a\u043e\u0442\u043e\u0440\u0430\u044f \u043e\u0431\u0440\u0430\u0437\u0443\u0435\u0442 \u0443\u0433\u043e\u043b 45\u00b0 \u0441 \u043e\u0441\u044c\u044e X \u0438 \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. <\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E4F0FE\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E4F0FE\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u043f\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\"> \u0415\u0441\u043b\u0438 \u043b\u0438\u043d\u0438\u044f \u0441\u043e\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u0442 \u0443\u0433\u043e\u043b 45 \u0433\u0440\u0430\u0434\u0443\u0441\u043e\u0432 \u0441 \u043e\u0441\u044c\u044e OX, \u0435\u0435 \u043d\u0430\u043a\u043b\u043e\u043d \u0441\u043e\u0441\u0442\u0430\u0432\u0438\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-51d113bc9a4b67f4c35c31f08baa7ad9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m = \\text{tg}(45\u00ba) = 1\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"118\" 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-7831f83b7ed770006cac5c20921bfa0f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y-y_0=1(x-x_0)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"142\" 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-1d02fbbf78fbaf1ec868c2555515cad0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y-y_0=x-x_0\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"120\" style=\"vertical-align: -4px;\"><\/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 \u043d\u0430\u043a\u043b\u043e\u043d \u043b\u0438\u043d\u0438\u0438, \u043c\u044b \u0441\u043c\u043e\u0436\u0435\u043c \u043d\u0430\u0439\u0442\u0438 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043d\u0430\u043a\u043b\u043e\u043d\u0430 \u0442\u043e\u0447\u043a\u0438, \u043f\u043e\u0434\u0441\u0442\u0430\u0432\u0438\u0432 \u0432 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0442\u043e\u0447\u043a\u0443 \u043d\u0430 \u043b\u0438\u043d\u0438\u0438. \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u043e\u043f\u0435\u0440\u0430\u0442\u043e\u0440 \u0441\u043e\u043e\u0431\u0449\u0430\u0435\u0442 \u043d\u0430\u043c, \u0447\u0442\u043e \u043b\u0438\u043d\u0438\u044f \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, \u0430 \u044d\u0442\u043e \u0437\u043d\u0430\u0447\u0438\u0442, \u0447\u0442\u043e \u043e\u043d\u0430 \u043f\u0440\u043e\u0445\u043e\u0434\u0438\u0442 \u0447\u0435\u0440\u0435\u0437 \u0442\u043e\u0447\u043a\u0443 (0,0). \u0415\u0449\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-048c1ceefde62a60b4cf2420a67d7f37_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(0,0)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"52\" 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-f032721e5e51bcb17f57204a1991d5c5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y-y_0=x-x_0 \\ \\xrightarrow{x=0 \\ ; \\ y=0} \\ y-0=x-0\" title=\"Rendered by QuickLaTeX.com\" height=\"24\" width=\"323\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043d\u0430\u043a\u043b\u043e\u043d\u0430 \u0442\u043e\u0447\u043a\u0438 \u043b\u0438\u043d\u0438\u0438 \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-4909df7491ef54f0df1e922bc29417f3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{y=x}\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"43\" style=\"vertical-align: -4px;\"><\/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> \u041d\u0430\u0439\u0434\u0438\u0442\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043d\u0430\u043a\u043b\u043e\u043d\u0430 \u0442\u043e\u0447\u043a\u0438 \u043f\u0440\u044f\u043c\u043e\u0439, \u043f\u0430\u0440\u0430\u043b\u043b\u0435\u043b\u044c\u043d\u043e\u0439 \u043f\u0440\u044f\u043c\u043e\u0439.<\/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-c409433a9e2dfcdb83360a974d243f18_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0438 \u0447\u0442\u043e \u043f\u0440\u043e\u0438\u0441\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-37ecf61896ad8378d5128916dfa0db58_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(-1,-3).\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"85\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0431\u044b\u0442\u044c \u043f\u0440\u044f\u043c\u044b\u043c <\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c5986f031932e6b3512dc564514c34b5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r:\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"17\" 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-13e021539041421cca99c04a0add9516_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r: \\; y-1=2(x+5)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"154\" 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__E4F0FE\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E4F0FE\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u043f\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\"> \u041d\u0430\u043a\u043b\u043e\u043d \u043b\u0438\u043d\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-c409433a9e2dfcdb83360a974d243f18_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0440\u0430\u0432\u043d\u043e 2 (\u0447\u0438\u0441\u043b\u043e \u043f\u0435\u0440\u0435\u0434 \u043a\u0440\u0443\u0433\u043b\u044b\u043c\u0438 \u0441\u043a\u043e\u0431\u043a\u0430\u043c\u0438), \u0438 \u0447\u0442\u043e\u0431\u044b \u0434\u0432\u0435 \u043b\u0438\u043d\u0438\u0438 \u0431\u044b\u043b\u0438 \u043f\u0430\u0440\u0430\u043b\u043b\u0435\u043b\u044c\u043d\u044b\u043c\u0438, \u043e\u043d\u0438 \u0434\u043e\u043b\u0436\u043d\u044b \u0438\u043c\u0435\u0442\u044c \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u044b\u0439 \u043d\u0430\u043a\u043b\u043e\u043d, \u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\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-f3439899d4781058b8eb19021ac25e27_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m = 2\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"47\" 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-a8579f7a4e6d6535f68742555a229e8d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y-y_0=2(x-x_0)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"142\" 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 \u043d\u0430\u043a\u043b\u043e\u043d \u043b\u0438\u043d\u0438\u0438, \u043c\u044b \u043f\u0440\u043e\u0441\u0442\u043e \u043f\u043e\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u043c \u0432 \u0444\u043e\u0440\u043c\u0443\u043b\u0443 \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 \u043b\u0438\u043d\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-398c2be999567c477ccd7a55d5c66ced_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(-1,-3)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"80\" 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-3ae615335baed1209de396f5a98fe6e1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y-(-1)=2(x-(-3))\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"182\" 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, \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043d\u0430\u043a\u043b\u043e\u043d\u0430 \u0442\u043e\u0447\u043a\u0438 \u043b\u0438\u043d\u0438\u0438 \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-45304f06d37b44e4b468dcea500c1689_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{y+1=2(x+3)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"126\" 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 6<\/h3>\n<p> \u041e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043d\u0430\u043a\u043b\u043e\u043d\u0430 \u0442\u043e\u0447\u043a\u0438 \u0434\u043b\u044f \u043a\u0430\u0436\u0434\u043e\u0439 \u043b\u0438\u043d\u0438\u0438, \u043f\u043e\u043a\u0430\u0437\u0430\u043d\u043d\u043e\u0439 \u043d\u0430 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u043c \u0433\u0440\u0430\u0444\u0438\u043a\u0435: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exercice-dequation-de-la-ligne-explicite.webp\" alt=\"\u044f\u0432\u043d\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043f\u0440\u044f\u043c\u043e\u0439, \u0440\u0435\u0448\u0435\u043d\u0438\u0435 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f \u0448\u0430\u0433 \u0437\u0430 \u0448\u0430\u0433\u043e\u043c\" class=\"wp-image-1500\" width=\"377\" height=\"405\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E4F0FE\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E4F0FE\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u043f\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\"> <strong>\u0441\u0438\u043d\u0438\u0439 \u043f\u0440\u0430\u0432\u044b\u0439<\/strong><\/p>\n<p class=\"has-text-align-left\"> \u0421\u0438\u043d\u044f\u044f \u043b\u0438\u043d\u0438\u044f \u0443\u0432\u0435\u043b\u0438\u0447\u0438\u0432\u0430\u0435\u0442\u0441\u044f \u043d\u0430 \u043e\u0434\u0438\u043d Y \u0434\u043b\u044f \u043a\u0430\u0436\u0434\u043e\u0433\u043e X, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u0435\u0435 \u043d\u0430\u043a\u043b\u043e\u043d \u0440\u0430\u0432\u0435\u043d 1. \u0421 \u0434\u0440\u0443\u0433\u043e\u0439 \u0441\u0442\u043e\u0440\u043e\u043d\u044b, \u043e\u043d\u0430 \u043f\u0440\u043e\u0445\u043e\u0434\u0438\u0442 \u0447\u0435\u0440\u0435\u0437 \u0442\u043e\u0447\u043a\u0443 (2,4), \u043f\u043e\u044d\u0442\u043e\u043c\u0443:<\/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-2da731e16044d6c6ac573d0f5ecdc8b7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y-4 =x-2\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"103\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> <strong>\u043f\u0440\u044f\u043c\u043e \u0437\u0435\u043b\u0435\u043d\u044b\u0439<\/strong><\/p>\n<p class=\"has-text-align-left\"> \u0417\u0435\u043b\u0435\u043d\u0430\u044f \u043b\u0438\u043d\u0438\u044f \u0443\u0432\u0435\u043b\u0438\u0447\u0438\u0432\u0430\u0435\u0442\u0441\u044f \u043d\u0430 \u0442\u0440\u0438 Y \u0434\u043b\u044f \u043a\u0430\u0436\u0434\u043e\u0433\u043e X, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u0435\u0435 \u043d\u0430\u043a\u043b\u043e\u043d \u0440\u0430\u0432\u0435\u043d 3. \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u043e\u0434\u043d\u0430 \u0438\u0437 \u0435\u0435 \u0442\u043e\u0447\u0435\u043a \u0440\u0430\u0432\u043d\u0430 (2,2), \u043f\u043e\u044d\u0442\u043e\u043c\u0443:<\/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-cda4faf329c19618c240327d8a427333_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y-2 =3(x-2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"126\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> <strong>\u041a\u0440\u0430\u0441\u043d\u0430\u044f \u043b\u0438\u043d\u0438\u044f<\/strong><\/p>\n<p class=\"has-text-align-left\"> \u041a\u0440\u0430\u0441\u043d\u0430\u044f \u043b\u0438\u043d\u0438\u044f \u0443\u043c\u0435\u043d\u044c\u0448\u0430\u0435\u0442\u0441\u044f \u043d\u0430 \u0434\u0432\u0430 Y \u0434\u043b\u044f \u043a\u0430\u0436\u0434\u043e\u0433\u043e X, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u0435\u0435 \u043d\u0430\u043a\u043b\u043e\u043d \u0440\u0430\u0432\u0435\u043d -2. \u0418 \u0442\u043e\u0447\u043a\u0430 (0,-2) \u043f\u0440\u0438\u043d\u0430\u0434\u043b\u0435\u0436\u0438\u0442 \u044d\u0442\u043e\u0439 \u043b\u0438\u043d\u0438\u0438, \u043f\u043e\u044d\u0442\u043e\u043c\u0443: <\/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-de1091d5afd35c2063ab769ade6bf7ef_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y =-2(x+2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"109\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u041d\u0430 \u044d\u0442\u043e\u0439 \u0441\u0442\u0440\u0430\u043d\u0438\u0446\u0435 \u0432\u044b \u043d\u0430\u0439\u0434\u0435\u0442\u0435 \u0444\u043e\u0440\u043c\u0443\u043b\u0443 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u0442\u043e\u0447\u043a\u0438-\u043d\u0430\u043a\u043b\u043e\u043d\u0430 \u043b\u0438\u043d\u0438\u0438, \u0430 \u0442\u0430\u043a\u0436\u0435 \u0440\u0430\u0437\u043b\u0438\u0447\u043d\u044b\u0435 \u0441\u043f\u043e\u0441\u043e\u0431\u044b \u0435\u0435 \u0440\u0430\u0441\u0447\u0435\u0442\u0430. \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u0432\u044b \u0441\u043c\u043e\u0436\u0435\u0442\u0435 \u0443\u0432\u0438\u0434\u0435\u0442\u044c \u043d\u0435\u0441\u043a\u043e\u043b\u044c\u043a\u043e \u043f\u0440\u0438\u043c\u0435\u0440\u043e\u0432 \u0438 \u043f\u043e\u043f\u0440\u0430\u043a\u0442\u0438\u043a\u043e\u0432\u0430\u0442\u044c\u0441\u044f \u0432 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f\u0445, \u0440\u0435\u0448\u0430\u0435\u043c\u044b\u0445 \u0448\u0430\u0433 \u0437\u0430 \u0448\u0430\u0433\u043e\u043c. \u0424\u043e\u0440\u043c\u0443\u043b\u0430 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u0442\u043e\u0447\u043a\u0438-\u043d\u0430\u043a\u043b\u043e\u043d\u0430 \u043b\u0438\u043d\u0438\u0438 \u0423\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043d\u0430\u043a\u043b\u043e\u043d\u0430 \u0442\u043e\u0447\u043a\u0438 \u043b\u0438\u043d\u0438\u0438 \u2014 \u044d\u0442\u043e \u0441\u043f\u043e\u0441\u043e\u0431 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u043e\u0433\u043e \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u044f \u043b\u0438\u043d\u0438\u0438. \u0412 \u0447\u0430\u0441\u0442\u043d\u043e\u0441\u0442\u0438, \u0432\u0430\u043c \u043d\u0443\u0436\u043d\u044b \u0442\u043e\u043b\u044c\u043a\u043e \u043d\u0430\u043a\u043b\u043e\u043d \u0438 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b \u0442\u043e\u0447\u043a\u0438 \u043d\u0430 \u043b\u0438\u043d\u0438\u0438, &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ru\/%d1%83%d1%80%d0%b0%d0%b2%d0%bd%d0%b5%d0%bd%d0%b8%d0%b5-%d1%82%d0%be%d1%87%d0%ba%d0%b8-%d0%bd%d0%b0%d0%ba%d0%bb%d0%be%d0%bd-%d0%bb%d0%b8%d0%bd%d0%b8%d0%b8-%d1%84%d0%be%d1%80%d0%bc%d1%83%d0%bb%d1%8b\/\"> <span class=\"screen-reader-text\">\u0422\u043e\u0447\u043a\u0430 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u2013 \u043d\u0430\u043a\u043b\u043e\u043d \u043b\u0438\u043d\u0438\u0438<\/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":[15],"tags":[],"class_list":["post-229","post","type-post","status-publish","format-standard","hentry","category-15"],"yoast_head":"<!-- This site is optimized 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