{"id":229,"date":"2023-07-10T23:13:43","date_gmt":"2023-07-10T23:13:43","guid":{"rendered":"https:\/\/mathority.org\/ar\/%d9%85%d9%8a%d9%84-%d8%b5%d9%8a%d8%ba%d8%a9-%d8%a7%d9%84%d8%ae%d8%b7\/"},"modified":"2023-07-10T23:13:43","modified_gmt":"2023-07-10T23:13:43","slug":"%d9%85%d9%8a%d9%84-%d8%b5%d9%8a%d8%ba%d8%a9-%d8%a7%d9%84%d8%ae%d8%b7","status":"publish","type":"post","link":"https:\/\/mathority.org\/ar\/%d9%85%d9%8a%d9%84-%d8%b5%d9%8a%d8%ba%d8%a9-%d8%a7%d9%84%d8%ae%d8%b7\/","title":{"rendered":"\u0645\u064a\u0644 \u0627\u0644\u062e\u0637 (\u0627\u0644\u0635\u064a\u063a\u0629)"},"content":{"rendered":"<p style=\";text-align:right;direction:rtl\">\u0633\u062a\u062c\u062f \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0635\u0641\u062d\u0629 \u0627\u0644\u0634\u0631\u062d \u0627\u0644\u0623\u0643\u062b\u0631 \u062a\u0641\u0635\u064a\u0644\u0627\u064b \u0644\u0645\u064a\u0644 \u0627\u0644\u062e\u0637: \u0645\u0627 \u0647\u064a \u0635\u064a\u063a\u062a\u0647\u060c \u0623\u0645\u062b\u0644\u0629 \u062d\u0633\u0627\u0628\u064a\u0629\u060c \u0645\u0627\u0630\u0627 \u064a\u0639\u0646\u064a \u0645\u0641\u0647\u0648\u0645 \u0645\u064a\u0644 \u0627\u0644\u062e\u0637\u060c&#8230; \u0643\u0645\u0627 \u0633\u062a\u062a\u0645\u0643\u0646 \u0645\u0646 \u0645\u0639\u0631\u0641\u0629 \u0643\u064a\u0641\u064a\u0629 \u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0645\u064a\u0644 \u0628\u0633\u0647\u0648\u0644\u0629 \u0644\u062e\u0637 \u0645\u0646 \u0645\u0639\u0627\u062f\u0644\u062a\u0647\u060c \u0648\u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0633\u062a\u062a\u0645\u0643\u0646 \u0645\u0646 \u0627\u0644\u062a\u062f\u0631\u0628 \u0639\u0644\u0649 \u062d\u0644 \u0627\u0644\u062a\u0645\u0627\u0631\u064a\u0646 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629. <\/p>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center;text-align:right;direction:rtl\">\n<div id=\"ezoic-pub-ad-placeholder-104\" style=\";text-align:right;direction:rtl\"><\/div>\n<\/div>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"formula-de-la-pendiente-de-una-recta\"><\/span> \u0635\u064a\u063a\u0629 \u0644\u0645\u0646\u062d\u062f\u0631 \u0627\u0644\u062e\u0637 <span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center;text-align:right;direction:rtl\">\n<div id=\"ezoic-pub-ad-placeholder-105\" style=\";text-align:right;direction:rtl\"><\/div>\n<\/div>\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;;text-align:right;direction:rtl\">\n<p style=\"text-align:left;text-align:right;direction:rtl\"> <strong>\u0645\u064a\u0644 \u0627\u0644\u062e\u0637<\/strong> \u064a\u0633\u0627\u0648\u064a \u0627\u0644\u0625\u0632\u0627\u062d\u0629 \u0627\u0644\u0631\u0623\u0633\u064a\u0629 \u0628\u064a\u0646 \u0646\u0642\u0637\u062a\u064a\u0646 \u0645\u0642\u0633\u0648\u0645\u0629 \u0639\u0644\u0649 \u0627\u0644\u0625\u0632\u0627\u062d\u0629 \u0627\u0644\u0623\u0641\u0642\u064a\u0629 \u0628\u064a\u0646 \u0647\u0627\u062a\u064a\u0646 \u0627\u0644\u0646\u0642\u0637\u062a\u064a\u0646.<\/p>\n<p style=\"text-align:left;text-align:right;direction:rtl\"> \u0623\u064a \u0625\u0630\u0627 \u0639\u0644\u0645\u0646\u0627 \u0646\u0642\u0637\u062a\u064a\u0646 \u0639\u0644\u0649 \u0627\u0644\u0633\u0637\u0631:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-64af51bbaed8952d251997515c64b85c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P_1(x_1,y_1) \\qquad P_2(x_2,y_2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"184\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\"text-align:left;text-align:right;direction:rtl\"> \u0635\u064a\u063a\u0629 \u0645\u064a\u0644 \u0627\u0644\u062e\u0637 \u0647\u064a: <\/p>\n<p style=\";text-align:right;direction:rtl\">\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<\/div>\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/pente-dune-ligne-1.webp\" alt=\"\u0645\u0627 \u0647\u0648 \u0645\u064a\u0644 \u0627\u0644\u062e\u0637\" class=\"wp-image-1523\" width=\"328\" height=\"312\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"ejemplo-de-como-calcular-la-pendiente-de-una-recta-a-partir-de-dos-puntos\"><\/span> \u0645\u062b\u0627\u0644 \u0644\u062d\u0633\u0627\u0628 \u0645\u064a\u0644 \u0627\u0644\u062e\u0637 \u0645\u0646 \u0646\u0642\u0637\u062a\u064a\u0646 <span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center;text-align:right;direction:rtl\">\n<div id=\"ezoic-pub-ad-placeholder-106\" style=\";text-align:right;direction:rtl\"><\/div>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> \u0628\u0639\u062f \u0630\u0644\u0643\u060c \u0633\u0646\u0631\u0649 \u0645\u062b\u0627\u0644\u0627\u064b \u0644\u0643\u064a\u0641\u064a\u0629 \u062d\u0633\u0627\u0628 \u0645\u064a\u0644 \u0627\u0644\u062e\u0637 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0635\u064a\u063a\u0629:<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u0627\u062d\u0633\u0628 \u0645\u064a\u0644 \u0627\u0644\u062e\u0637 \u0627\u0644\u0630\u064a \u064a\u0645\u0631 \u0628\u0627\u0644\u0646\u0642\u0637\u062a\u064a\u0646 \u0627\u0644\u062a\u0627\u0644\u064a\u062a\u064a\u0646:<\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5625033af5d12379bbc5e375fd06888d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P_1(3,1) \\qquad P_2(5,7)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"152\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u0645\u064a\u0644 \u0647\u0630\u0627 \u0627\u0644\u062e\u0637\u060c \u0645\u0627 \u0639\u0644\u064a\u0643 \u0633\u0648\u0649 \u062a\u0637\u0628\u064a\u0642 \u0635\u064a\u063a\u062a\u0647:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a5b9ed9145447559a6eb62e27c584432_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{7-1}{5-3}=\\cfrac{6}{2} = \\bm{3}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"281\" style=\"vertical-align: -15px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0645\u064a\u0644 \u0627\u0644\u062e\u0637 \u064a\u0633\u0627\u0648\u064a 3. <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"hallar-la-pendiente-de-una-recta-a-partir-de-su-ecuacion\"><\/span> \u0625\u064a\u062c\u0627\u062f \u0645\u064a\u0644 \u0627\u0644\u062e\u0637 \u0645\u0646 \u0645\u0639\u0627\u062f\u0644\u062a\u0647 <span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center;text-align:right;direction:rtl\">\n<div id=\"ezoic-pub-ad-placeholder-109\" style=\";text-align:right;direction:rtl\"><\/div>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> \u0641\u064a \u0627\u0644\u0642\u0633\u0645 \u0623\u0639\u0644\u0627\u0647\u060c \u0631\u0623\u064a\u0646\u0627 \u0644\u0644\u062a\u0648 \u0643\u064a\u0641\u064a\u0629 \u062a\u062d\u062f\u064a\u062f \u0645\u064a\u0644 \u0627\u0644\u062e\u0637 \u0639\u062f\u062f\u064a\u064b\u0627. \u0648\u0645\u0639 \u0630\u0644\u0643\u060c \u0644\u064a\u0633 \u0645\u0646 \u0627\u0644\u0636\u0631\u0648\u0631\u064a \u062f\u0627\u0626\u0645\u064b\u0627 \u0625\u062c\u0631\u0627\u0621 \u0627\u0644\u062d\u0633\u0627\u0628\u0627\u062a\u060c \u0648\u0644\u0643\u0646 \u064a\u0645\u0643\u0646 \u0623\u064a\u0636\u064b\u0627 \u062a\u062d\u062f\u064a\u062f \u0642\u064a\u0645\u062a\u0647\u0627 \u0645\u0646 \u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u062e\u0637. \u064a\u062e\u062a\u0644\u0641 \u0643\u0644 \u0646\u0648\u0639 \u0645\u0646 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0639\u0646 \u0627\u0644\u0622\u062e\u0631\u060c \u0644\u0630\u0644\u0643 \u0633\u0646\u0642\u0648\u0645 \u0628\u062a\u062d\u0644\u064a\u0644 \u0643\u0644 \u062d\u0627\u0644\u0629 \u0639\u0644\u0649 \u062d\u062f\u0629. <\/p>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"pendiente-dada-la-ecuacion-explicita-de-la-recta\"><\/span> \u0627\u0644\u0645\u064a\u0644 \u0628\u0645\u0639\u0644\u0648\u0645\u064a\u0629 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0635\u0631\u064a\u062d\u0629 \u0644\u0644\u062e\u0637<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u062a\u062a\u0628\u0639 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0635\u0631\u064a\u062d\u0629 \u0644\u0644\u062e\u0637 \u0627\u0644\u062a\u0639\u0628\u064a\u0631 \u0627\u0644\u062a\u0627\u0644\u064a:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9f20f0b48ca24d4d8e36d110a7a9fab0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y =\\color{blue}\\bm{m}\\color{black}x+n\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"163\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u062b\u0645 \u0627\u0644\u0645\u0639\u0644\u0645\u0629<\/p>\n<p style=\";text-align:right;direction:rtl\">\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> \u064a\u062a\u0648\u0627\u0641\u0642 \u0645\u0639 \u0645\u064a\u0644 \u0627\u0644\u062e\u0637. <\/p>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"pendiente-dada-la-ecuacion-punto-pendiente-de-la-recta\"><\/span> \u0627\u0644\u0645\u064a\u0644 \u0646\u0638\u0631\u0627 \u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0646\u0642\u0637\u0629 \u0627\u0644\u0645\u064a\u0644 \u0644\u0644\u062e\u0637<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0635\u064a\u063a\u0629 \u0645\u0639\u0627\u062f\u0644\u0629 \u0646\u0642\u0637\u0629 \u0627\u0644\u0645\u064a\u0644 \u0644\u0644\u062e\u0637 \u0647\u064a \u0643\u0645\u0627 \u064a\u0644\u064a:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-470b8b3f0e00bf809f6089864fe6dd44_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y -y_0=\\color{blue}\\bm{m}\\color{black}(x-x_0)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"221\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0643\u0645\u0627 \u0643\u0627\u0646 \u0645\u0646 \u0642\u0628\u0644\u060c \u0627\u0644\u0645\u0639\u0627\u0645\u0644<\/p>\n<p style=\";text-align:right;direction:rtl\">\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> \u064a\u062a\u0648\u0627\u0641\u0642 \u0645\u0639 \u0645\u064a\u0644 \u0627\u0644\u062e\u0637. <\/p>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"pendiente-dada-la-ecuacion-implicita-de-la-recta\"><\/span> \u0627\u0644\u0645\u064a\u0644 \u0628\u0645\u0639\u0644\u0648\u0645\u064a\u0629 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0636\u0645\u0646\u064a\u0629 \u0644\u0644\u062e\u0637<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0628\u0627\u0644\u0646\u0638\u0631 \u0625\u0644\u0649 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0636\u0645\u0646\u064a\u0629 \u0644\u0644\u062e\u0637 (\u0648\u062a\u0633\u0645\u0649 \u0623\u064a\u0636\u064b\u0627 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0639\u0627\u0645\u0629 \u0623\u0648 \u0627\u0644\u062f\u064a\u0643\u0627\u0631\u062a\u064a\u0629):<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-02f4d03229cc8bd79a81b676a8132f37_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Ax+By+C=0\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"137\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u064a\u0645\u0643\u0646 \u0627\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u0645\u064a\u0644 \u0627\u0644\u062e\u0637 \u0639\u0646 \u0637\u0631\u064a\u0642 \u0627\u0644\u0642\u064a\u0627\u0645 \u0628\u0645\u0627 \u064a\u0644\u064a: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-94f59cc7d3c1b4ece0a70a3587fa0a77_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m=-\\cfrac{A}{B}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"70\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"pendiente-dado-el-vector-director-de-la-recta\"><\/span> \u0627\u0644\u0645\u064a\u0644 \u0645\u0639 \u0627\u0644\u0623\u062e\u0630 \u0628\u0639\u064a\u0646 \u0627\u0644\u0627\u0639\u062a\u0628\u0627\u0631 \u0645\u062a\u062c\u0647 \u0627\u0644\u0627\u062a\u062c\u0627\u0647 \u0644\u0644\u062e\u0637<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0645\u062a\u062c\u0647 \u0627\u062a\u062c\u0627\u0647 \u0627\u0644\u062e\u0637 \u0647\u0648 \u0627\u0644\u0645\u062a\u062c\u0647 \u0627\u0644\u0630\u064a \u064a\u062d\u062f\u062f \u0627\u062a\u062c\u0627\u0647\u0647. \u0644\u0630\u0644\u0643\u060c \u0625\u0630\u0627 \u0643\u0627\u0646 \u0645\u062a\u062c\u0647 \u0627\u0644\u0627\u062a\u062c\u0627\u0647 \u0644\u0644\u062e\u0637 \u0647\u0648:<\/p>\n<p style=\";text-align:right;direction:rtl\">\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>\n<p style=\";text-align:right;direction:rtl\"> \u0645\u064a\u0644 \u0647\u0630\u0627 \u0627\u0644\u062e\u0637 \u0647\u0648 : <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-cbe7689423f29f352d6a3def8b92e945_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<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"pendiente-dado-un-angulo\"><\/span> \u0627\u0644\u0645\u064a\u0644 \u0628\u0645\u0639\u0644\u0648\u0645\u064a\u0629 \u0632\u0627\u0648\u064a\u0629<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0623\u062e\u064a\u0631\u0627\u060c \u0625\u0630\u0627 \u0643\u0627\u0646 \u0627\u0644\u062e\u0637 \u064a\u0634\u0643\u0644 \u0632\u0627\u0648\u064a\u0629<\/p>\n<p style=\";text-align:right;direction:rtl\">\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> \u0639\u0646\u062f \u0627\u0644\u062c\u0632\u0621 \u0627\u0644\u0645\u0648\u062c\u0628 \u0645\u0646 \u0645\u062d\u0648\u0631 \u0627\u0644\u0625\u062d\u062f\u0627\u062b\u064a \u0627\u0644\u0633\u064a\u0646\u064a (\u0627\u0644\u0645\u062d\u0648\u0631 X)\u060c \u0641\u0625\u0646 \u0645\u064a\u0644\u0647 \u064a\u0639\u0627\u062f\u0644 \u0638\u0644 \u0627\u0644\u0632\u0627\u0648\u064a\u0629: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c2b29dd45ad9f0c0537a0cf6233ce929_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<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"significado-de-la-pendiente-de-una-recta\"><\/span> \u0645\u0639\u0646\u0649 \u0645\u0646\u062d\u062f\u0631 \u0627\u0644\u062e\u0637<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0645\u0639 \u0643\u0644 \u0627\u0644\u0645\u0639\u0644\u0648\u0645\u0627\u062a \u0627\u0644\u0645\u0630\u0643\u0648\u0631\u0629 \u0623\u0639\u0644\u0627\u0647\u060c \u0646\u062d\u0646 \u0646\u0639\u0631\u0641 \u062c\u064a\u062f\u064b\u0627 \u0643\u064a\u0641\u064a\u0629 \u0627\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u0645\u064a\u0644 \u0627\u0644\u062e\u0637. \u0644\u0643\u0646 \u0641\u064a \u0627\u0644\u062d\u0642\u064a\u0642\u0629&#8230; \u0645\u0627\u0630\u0627 \u064a\u0639\u0646\u064a \u0645\u064a\u0644 \u0627\u0644\u062e\u0637\u061f<\/p>\n<p style=\";text-align:right;direction:rtl\"> <strong>\u064a\u0634\u064a\u0631 \u0645\u064a\u0644 \u0627\u0644\u062e\u0637 \u0625\u0644\u0649 \u0627\u0644\u0648\u062d\u062f\u0627\u062a \u0627\u0644\u0631\u0623\u0633\u064a\u0629 \u0627\u0644\u062a\u064a \u064a\u0631\u062a\u0641\u0639\u0647\u0627 \u0627\u0644\u062e\u0637 \u0644\u0643\u0644 \u0648\u062d\u062f\u0629 \u0623\u0641\u0642\u064a\u0629 \u0641\u064a \u0627\u0644\u0631\u0633\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u064a.<\/strong><\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u0641\u064a \u062a\u0645\u062b\u064a\u0644 \u0627\u0644\u062e\u0637 \u0627\u0644\u062a\u0627\u0644\u064a\u060c \u064a\u0645\u0643\u0646\u0643 \u0623\u0646 \u062a\u0631\u0649 \u0623\u0646\u0647 \u064a\u062a\u0642\u062f\u0645 \u0628\u0648\u062d\u062f\u062a\u064a\u0646 \u0631\u0623\u0633\u064a\u062a\u064a\u0646 \u0644\u0643\u0644 \u0648\u062d\u062f\u0629 \u0623\u0641\u0642\u064a\u0629\u060c \u0644\u0623\u0646 \u0645\u064a\u0644\u0647 \u064a\u0633\u0627\u0648\u064a 2. <\/p>\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/equation-explicite-d-une-ligne.webp\" alt=\"\u0645\u0627 \u0647\u0648 \u0645\u064a\u0644 \u0627\u0644\u062e\u0637\" class=\"wp-image-1455\" width=\"341\" height=\"341\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u064a\u0634\u064a\u0631 \u0645\u064a\u0644 \u0627\u0644\u062e\u0637 \u0623\u064a\u0636\u064b\u0627 \u0625\u0644\u0649 \u0627\u0646\u062d\u062f\u0627\u0631\u0647:<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u0625\u0630\u0627 \u0643\u0627\u0646 \u0627\u0644\u062e\u0637 \u064a\u062a\u0632\u0627\u064a\u062f (\u064a\u0631\u062a\u0641\u0639)\u060c \u0641\u0625\u0646 \u0645\u064a\u0644\u0647 \u064a\u0643\u0648\u0646 \u0645\u0648\u062c\u0628\u064b\u0627.<\/li>\n<li style=\";text-align:right;direction:rtl\"> \u0625\u0630\u0627 \u0643\u0627\u0646 \u0627\u0644\u062e\u0637 \u064a\u062a\u0646\u0627\u0642\u0635 (\u062a\u0646\u0627\u0632\u0644\u064a\u064b\u0627)\u060c \u0641\u0625\u0646 \u0645\u064a\u0644\u0647 \u064a\u0643\u0648\u0646 \u0633\u0627\u0644\u0628\u064b\u0627.<\/li>\n<li style=\";text-align:right;direction:rtl\"> \u0625\u0630\u0627 \u0643\u0627\u0646 \u0627\u0644\u062e\u0637 \u0623\u0641\u0642\u064a\u064b\u0627 \u062a\u0645\u0627\u0645\u064b\u0627\u060c \u0641\u0625\u0646 \u0645\u064a\u0644\u0647 \u064a\u0633\u0627\u0648\u064a 0.<\/li>\n<li style=\";text-align:right;direction:rtl\"> \u0625\u0630\u0627 \u0643\u0627\u0646 \u0627\u0644\u062e\u0637 \u0639\u0645\u0648\u062f\u064a\u064b\u0627 \u062a\u0645\u0627\u0645\u064b\u0627\u060c \u0641\u0625\u0646 \u0645\u064a\u0644\u0647 \u064a\u0633\u0627\u0648\u064a \u0645\u0627 \u0644\u0627 \u0646\u0647\u0627\u064a\u0629. <\/li>\n<\/ul>\n<div class=\"wp-block-columns is-layout-flex wp-container-167\" style=\";text-align:right;direction:rtl\">\n<div class=\"wp-block-column is-layout-flow\" style=\";text-align:right;direction:rtl\">\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/pente-positive-ou-negative-de-la-droite.webp\" alt=\"\u0645\u064a\u0644 \u062e\u0637 \u0625\u064a\u062c\u0627\u0628\u064a \u0623\u0648 \u0633\u0644\u0628\u064a\" class=\"wp-image-1540\" width=\"470\" height=\"238\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\" style=\";text-align:right;direction:rtl\">\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/pente-dune-ligne-zero-ou-infinie.webp\" alt=\"\u0645\u064a\u0644 \u062e\u0637 \u0635\u0641\u0631 \u0623\u0648 \u0644\u0627\u0646\u0647\u0627\u0626\u064a\" class=\"wp-image-1541\" width=\"478\" height=\"238\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<\/div>\n<\/div>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"posicion-relativa-de-las-rectas\"><\/span> \u0627\u0644\u0645\u0648\u0636\u0639 \u0627\u0644\u0646\u0633\u0628\u064a \u0644\u0644\u062e\u0637\u0648\u0637<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0645\u0646 \u0646\u0627\u062d\u064a\u0629 \u0623\u062e\u0631\u0649\u060c \u064a\u0645\u0643\u0646 \u0623\u064a\u0636\u064b\u0627 \u0645\u0639\u0631\u0641\u0629 \u0627\u0644\u0645\u0648\u0642\u0639 \u0627\u0644\u0646\u0633\u0628\u064a \u0628\u064a\u0646 \u062e\u0637\u064a\u0646 \u0645\u0646 \u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u0645\u0646\u062d\u062f\u0631\u0627\u062a:<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u0625\u0630\u0627 \u0643\u0627\u0646 \u0644\u062e\u0637\u064a\u0646 \u0645\u064a\u0644\u0627\u0646 \u0645\u062e\u062a\u0644\u0641\u0627\u0646\u060c \u0641\u0647\u0630\u0627 \u064a\u0639\u0646\u064a \u0623\u0646\u0647\u0645\u0627 <strong>\u0645\u062a\u0642\u0627\u0637\u0639\u0627\u0646<\/strong> \u060c \u0623\u064a \u0623\u0646\u0647\u0645\u0627 \u064a\u062a\u0642\u0627\u0637\u0639\u0627\u0646 \u0641\u064a \u0646\u0642\u0637\u0629 \u0645\u0627. <\/li>\n<\/ul>\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/secantes-pente-d-une-ligne.webp\" alt=\"\u062e\u0637\u0648\u0637 \u0645\u062a\u0642\u0627\u0637\u0639\u0629 \u0648\u0645\u0646\u062d\u062f\u0631\u0627\u062a \u0645\u062a\u0645\u064a\u0632\u0629\" class=\"wp-image-1549\" width=\"222\" height=\"232\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u064a\u0645\u0643\u0646 \u062d\u0633\u0627\u0628 \u0627\u0644\u0632\u0627\u0648\u064a\u0629 \u0628\u064a\u0646 \u0627\u0644\u062e\u0637\u064a\u0646 \u0639\u0628\u0631 \u0645\u064a\u0644\u064a\u0647\u0645\u0627 \u0628\u0627\u0644\u0635\u064a\u063a\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-95b6b3d8558ce7ad38e9652a3f9f612d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{tg}(\\alpha) = \\cfrac{m_2-m_1}{1+m_1\\cdot m_2}\" title=\"Rendered by QuickLaTeX.com\" height=\"37\" width=\"157\" style=\"vertical-align: -15px;\"><\/p>\n<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u062b\u0627\u0646\u064a\u0627\u060c \u0625\u0630\u0627 \u0643\u0627\u0646 \u0647\u0646\u0627\u0643 \u0645\u0633\u062a\u0642\u064a\u0645\u0627\u0646 \u0644\u0647\u0645\u0627 \u0646\u0641\u0633 \u0627\u0644\u0645\u064a\u0644\u060c \u0641\u0647\u0630\u0627 \u064a\u0639\u0646\u064a \u0623\u0646\u0647\u0645\u0627 <strong>\u0645\u062a\u0648\u0627\u0632\u064a\u0627\u0646<\/strong> . <\/li>\n<\/ul>\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\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=\"\u062e\u0637\u0648\u0637 \u0645\u062a\u0648\u0627\u0632\u064a\u0629 \u0645\u062a\u0633\u0627\u0648\u064a\u0629 \u0627\u0644\u0645\u0646\u062d\u062f\u0631\u0627\u062a\" class=\"wp-image-1550\" width=\"207\" height=\"208\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u0648\u0623\u062e\u064a\u0631\u064b\u0627\u060c \u0641\u0625\u0646 \u0645\u0646\u062d\u062f\u0631\u0627\u062a \u0627\u0644\u062e\u0637\u064a\u0646 <strong>\u0627\u0644\u0645\u062a\u0639\u0627\u0645\u062f\u064a\u0646<\/strong> \u0623\u0648 <strong>\u0627\u0644\u0645\u062a\u0639\u0627\u0645\u062f\u064a\u0646<\/strong> (\u0627\u0644\u0630\u064a\u0646 \u064a\u0634\u0643\u0644\u0627\u0646 90 \u062f\u0631\u062c\u0629) \u062a\u0633\u062a\u0648\u0641\u064a \u0627\u0644\u0634\u0631\u0637 \u0627\u0644\u062a\u0627\u0644\u064a: <\/li>\n<\/ul>\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\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=\"\u062e\u0637\u0648\u0637 \u0645\u062a\u0639\u0627\u0645\u062f\u0629 \u0645\u062a\u0642\u0627\u0628\u0644\u0629 \u0645\u0639 \u0627\u0644\u0645\u0646\u062d\u062f\u0631\u0627\u062a\" class=\"wp-image-1551\" width=\"183\" height=\"270\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> \u0647\u0630\u0647 \u0625\u062d\u062f\u0649 \u0627\u0644\u0637\u0631\u0642 \u0644\u0645\u0639\u0631\u0641\u0629 \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646 \u0627\u0644\u062e\u0637\u0627\u0646 \u0645\u062a\u0648\u0627\u0632\u064a\u064a\u0646 \u0623\u0648 \u0645\u062a\u0639\u0627\u0645\u062f\u064a\u0646 \u0645\u0639 \u0628\u0639\u0636\u0647\u0645\u0627 \u0627\u0644\u0628\u0639\u0636\u060c \u0648\u0644\u0643\u0646 \u0647\u0646\u0627\u0643 \u0637\u0631\u0642 \u0623\u062e\u0631\u0649 \u0648\u0628\u0639\u0636\u0647\u0627 \u0623\u0633\u0631\u0639. \u0648\u0644\u0645\u0639\u0631\u0641\u0629 \u0627\u0644\u0645\u0632\u064a\u062f \u064a\u0645\u0643\u0646\u0643 \u0627\u0644\u0630\u0647\u0627\u0628 \u0625\u0644\u0649 \u0634\u0631\u062d <a href=\"https:\/\/mathority.org\/ar\/\u062a\u0639\u0631\u064a\u0641-\u0627\u0644\u062e\u0637\u0648\u0637-\u0627\u0644\u0645\u062a\u0639\u0627\u0645\u062f\u0629-\u0648\u0627\u0654\u0645\u062b\u0644\u0629-\u0639\u0644\u064a\u0647\u0627\/\">\u0627\u0644\u062a\u0639\u0627\u0645\u062f<\/a> <a href=\"https:\/\/mathority.org\/ar\/\u062a\u0639\u0631\u064a\u0641-\u0627\u0644\u062e\u0637\u0648\u0637-\u0627\u0644\u0645\u062a\u0648\u0627\u0632\u064a\u0629-\u0648\u0627\u0644\u0627\u0654\u0645\u062b\u0644\u0629\/\">\u0648\u0627\u0644\u062a\u0648\u0627\u0632\u064a \u0628\u064a\u0646 \u0627\u0644\u062e\u0637\u0648\u0637<\/a> . \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u062a\u0634\u0631\u062d \u0647\u0630\u0647 \u0627\u0644\u0635\u0641\u062d\u0627\u062a \u0623\u064a\u0636\u064b\u0627 \u0643\u064a\u0641\u064a\u0629 \u0627\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u062e\u0637 \u0645\u062a\u0639\u0627\u0645\u062f (\u0623\u0648 \u0645\u0648\u0627\u0632\u064a) \u0644\u062e\u0637 \u0622\u062e\u0631. <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-la-pendiente-de-una-recta\"><\/span> \u062d\u0644 \u0645\u0633\u0627\u0626\u0644 \u0645\u064a\u0644 \u0627\u0644\u062e\u0637<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u062a\u0645\u0631\u064a\u0646 1<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0623\u0648\u062c\u062f \u0645\u064a\u0644 \u0627\u0644\u062e\u0637 \u0627\u0644\u0630\u064a \u064a\u0645\u0631 \u0628\u0627\u0644\u0646\u0642\u0637\u062a\u064a\u0646 \u0627\u0644\u062a\u0627\u0644\u064a\u062a\u064a\u0646: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ae1737beb6850f4de1ea0c016cc1bc6c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P_1(5,6) \\qquad P_2(8,3)\" 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;text-align:right;direction:rtl\">\n<div class=\"otfm-sp__title\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0646\u0638\u0631 \u0627\u0644\u062d\u0644<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0644\u062d\u0633\u0627\u0628 \u0645\u064a\u0644 \u0627\u0644\u062e\u0637\u060c \u064a\u062c\u0628 \u0639\u0644\u064a\u0643 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0635\u064a\u063a\u0629: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-704148ba7570ada0ae582712ab7f93e6_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{3-6}{8-5}=\\cfrac{-3}{3} = \\bm{-1}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"316\" style=\"vertical-align: -15px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\">\u062a\u0645\u0631\u064a\u0646 2<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u062d\u0633\u0628 \u0645\u064a\u0644 \u0627\u0644\u062e\u0637 \u0627\u0644\u0630\u064a \u064a\u0645\u0631 \u0628\u0627\u0644\u0646\u0642\u0637\u062a\u064a\u0646 \u0627\u0644\u062a\u0627\u0644\u064a\u062a\u064a\u0646: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-092707a43b0264500e478afcfe29aaea_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P_1(-3,1) \\qquad P_2(-2,-4)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"193\" 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;text-align:right;direction:rtl\">\n<div class=\"otfm-sp__title\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0646\u0638\u0631 \u0627\u0644\u062d\u0644<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0644\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u0645\u064a\u0644 \u0627\u0644\u062e\u0637\u060c \u064a\u062c\u0628 \u0639\u0644\u064a\u0643 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0635\u064a\u063a\u0629: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-96bd25846027e66360f0f5125603d20f_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{-4-1}{-2-(-3)}=\\cfrac{-5}{-2+3}=\\cfrac{-5}{1} = \\bm{-5}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"436\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\">\u0627\u0644\u062a\u0645\u0631\u064a\u0646 3<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0645\u0627 \u0647\u0648 \u0645\u064a\u0644 \u0643\u0644 \u0633\u0637\u0631\u061f <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5d405c8176957af59906c98149714570_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{lll} A) \\ y= 2x+3 &amp; \\qquad &amp; B) \\  y-3=4(x+1) \\\\[2ex] C) \\  6x+2y-7=0 &amp; \\qquad &amp; D) \\ \\begin{cases}x=3-t \\\\[2ex] y=1+2t \\end{cases} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"102\" width=\"370\" 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;text-align:right;direction:rtl\">\n<div class=\"otfm-sp__title\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0646\u0638\u0631 \u0627\u0644\u062d\u0644<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> <strong>\u0623)<\/strong> \u064a\u062a\u0645 \u0627\u0644\u062a\u0639\u0628\u064a\u0631 \u0639\u0646 \u0627\u0644\u062e\u0637 \u0643\u0645\u0639\u0627\u062f\u0644\u0629 \u0636\u0645\u0646\u064a\u0629\u060c \u0628\u062d\u064a\u062b <strong>\u064a\u0643\u0648\u0646 \u0645\u064a\u0644\u0647 2<\/strong> (\u0627\u0644\u0645\u0635\u0637\u0644\u062d \u0627\u0644\u0645\u0635\u0627\u062d\u0628 \u0644\u0644\u062e\u0637<\/p>\n<p style=\";text-align:right;direction:rtl\">\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> ).<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> <strong>\u0628)<\/strong> \u064a\u062a\u0645 \u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u062e\u0637 \u0628\u0645\u0639\u0627\u062f\u0644\u0629 \u0646\u0642\u0637\u0629 \u0627\u0644\u0645\u064a\u0644\u060c \u0644\u0630\u0627 <strong>\u0641\u0625\u0646 \u0645\u064a\u0644\u0647 \u0647\u0648 4<\/strong> (\u0627\u0644\u0631\u0642\u0645 \u0627\u0644\u0645\u0648\u062c\u0648\u062f \u0642\u0628\u0644 \u0627\u0644\u0642\u0648\u0633\u064a\u0646).<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> <strong>\u062c)<\/strong> \u0627\u0644\u062e\u0637 \u0641\u064a \u0635\u0648\u0631\u0629 \u0645\u0639\u0627\u062f\u0644\u0629 \u0636\u0645\u0646\u064a\u0629\u060c \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0645\u064a\u0644\u0647 \u0647\u0648:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0dd97ea88f88443fc8c46bde067053eb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m= - \\cfrac{A}{B} = -\\cfrac{6}{2} = \\bm{-3}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"164\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> <strong>\u062f)<\/strong> \u064a\u062a\u0645 \u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u062e\u0637 \u0639\u0644\u0649 \u0634\u0643\u0644 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0628\u0627\u0631\u0627\u0645\u062a\u0631\u064a\u0629\u060c \u0644\u0630\u0627 \u064a\u062c\u0628 \u0639\u0644\u064a\u0646\u0627 \u0623\u0648\u0644\u0627\u064b \u0625\u064a\u062c\u0627\u062f \u0645\u062a\u062c\u0647 \u0627\u062a\u062c\u0627\u0647\u0647 \u0648\u0645\u0646 \u062e\u0644\u0627\u0644\u0647 \u064a\u0645\u0643\u0646\u0646\u0627 \u062d\u0633\u0627\u0628 \u0645\u064a\u0644 \u0627\u0644\u062e\u0637. \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0645\u0643\u0648\u0646\u0627\u062a \u0645\u062a\u062c\u0647 \u0627\u0644\u0627\u062a\u062c\u0627\u0647 \u0647\u064a \u0627\u0644\u0645\u0635\u0637\u0644\u062d\u0627\u062a \u0627\u0644\u0645\u0635\u0627\u062d\u0628\u0629 \u0644\u0644\u0645\u0639\u0627\u0645\u0644 <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-40f8b062c79839dcf7f2885a9e1469e7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"t:\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"15\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-920bbf7e23f9c991e14e800ec8003b1b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{v}} = (-1,2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"85\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0645\u062c\u0631\u062f \u0623\u0646 \u0646\u0639\u0631\u0641 \u0627\u062a\u062c\u0627\u0647 \u0645\u062a\u062c\u0647 \u0627\u0644\u062e\u0637\u060c \u064a\u0645\u0643\u0646\u0646\u0627 \u062a\u062d\u062f\u064a\u062f \u0645\u064a\u0644 \u0627\u0644\u062e\u0637: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-62e1424e65bcd14a34c4b366789f7b3a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m = \\cfrac{\\text{v}_2}{\\text{v}_1} = \\cfrac{2}{-1} = \\bm{-2}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"152\" style=\"vertical-align: -15px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\">\u0627\u0644\u062a\u0645\u0631\u064a\u0646 4<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u062a\u062d\u062f\u064a\u062f \u0645\u064a\u0644 \u0643\u0644 \u062e\u0637 \u0628\u064a\u0627\u0646\u064a: <\/p>\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\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=\"\u0645\u0639\u0627\u062f\u0644\u0629 \u0635\u0631\u064a\u062d\u0629 \u0644\u0644\u062a\u0645\u0631\u064a\u0646 \u0627\u0644\u062e\u0637\u064a \u062a\u0645 \u062d\u0644\u0647\u0627 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629\" 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;text-align:right;direction:rtl\">\n<div class=\"otfm-sp__title\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0646\u0638\u0631 \u0627\u0644\u062d\u0644<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0644\u062d\u0642 \u0627\u0644\u0623\u0632\u0631\u0642<\/strong><\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u064a\u0632\u062f\u0627\u062f \u0627\u0644\u062e\u0637 \u0627\u0644\u0623\u0632\u0631\u0642 \u0628\u0645\u0642\u062f\u0627\u0631 Y \u0648\u0627\u062d\u062f \u0644\u0643\u0644 X\u060c \u0644\u0630\u0627 <strong>\u0641\u0625\u0646 \u0645\u064a\u0644\u0647 \u064a\u0633\u0627\u0648\u064a 1.<\/strong><\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d94dded0dc9c883f82d566d62e2d4b42_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m=1\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"47\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0644\u062d\u0642 \u0627\u0644\u0623\u062e\u0636\u0631<\/strong><\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u064a\u0632\u064a\u062f \u0627\u0644\u062e\u0637 \u0627\u0644\u0623\u062e\u0636\u0631 \u0628\u0645\u0642\u062f\u0627\u0631 \u062b\u0644\u0627\u062b\u0629 Y \u0644\u0643\u0644 X\u060c \u0644\u0630\u0627 \u0641\u0625\u0646 <strong>\u0645\u064a\u0644\u0647 \u0647\u0648 3<\/strong> .<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-260107cba86a7b21e919180b1130050e_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 class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> <strong>\u062e\u0637 \u0623\u062d\u0645\u0631<\/strong><\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u064a\u062a\u0646\u0627\u0642\u0635 \u0627\u0644\u062e\u0637 \u0627\u0644\u0623\u062d\u0645\u0631 \u0628\u0645\u0642\u062f\u0627\u0631 \u0627\u062b\u0646\u064a\u0646 Y \u0644\u0643\u0644 X\u060c \u0644\u0630\u0627 <strong>\u0641\u0625\u0646 \u0645\u064a\u0644\u0647 \u064a\u0633\u0627\u0648\u064a -2<\/strong> . <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4cb69f8df8ea8c5935576ece37a640c2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m=-2\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"61\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u0633\u062a\u062c\u062f \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0635\u0641\u062d\u0629 \u0627\u0644\u0634\u0631\u062d \u0627\u0644\u0623\u0643\u062b\u0631 \u062a\u0641\u0635\u064a\u0644\u0627\u064b \u0644\u0645\u064a\u0644 \u0627\u0644\u062e\u0637: \u0645\u0627 \u0647\u064a \u0635\u064a\u063a\u062a\u0647\u060c \u0623\u0645\u062b\u0644\u0629 \u062d\u0633\u0627\u0628\u064a\u0629\u060c \u0645\u0627\u0630\u0627 \u064a\u0639\u0646\u064a \u0645\u0641\u0647\u0648\u0645 \u0645\u064a\u0644 \u0627\u0644\u062e\u0637\u060c&#8230; \u0643\u0645\u0627 \u0633\u062a\u062a\u0645\u0643\u0646 \u0645\u0646 \u0645\u0639\u0631\u0641\u0629 \u0643\u064a\u0641\u064a\u0629 \u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0645\u064a\u0644 \u0628\u0633\u0647\u0648\u0644\u0629 \u0644\u062e\u0637 \u0645\u0646 \u0645\u0639\u0627\u062f\u0644\u062a\u0647\u060c \u0648\u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0633\u062a\u062a\u0645\u0643\u0646 \u0645\u0646 \u0627\u0644\u062a\u062f\u0631\u0628 \u0639\u0644\u0649 \u062d\u0644 \u0627\u0644\u062a\u0645\u0627\u0631\u064a\u0646 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629. \u0635\u064a\u063a\u0629 \u0644\u0645\u0646\u062d\u062f\u0631 \u0627\u0644\u062e\u0637 \u0645\u064a\u0644 \u0627\u0644\u062e\u0637 \u064a\u0633\u0627\u0648\u064a \u0627\u0644\u0625\u0632\u0627\u062d\u0629 \u0627\u0644\u0631\u0623\u0633\u064a\u0629 \u0628\u064a\u0646 \u0646\u0642\u0637\u062a\u064a\u0646 \u0645\u0642\u0633\u0648\u0645\u0629 \u0639\u0644\u0649 \u0627\u0644\u0625\u0632\u0627\u062d\u0629 \u0627\u0644\u0623\u0641\u0642\u064a\u0629 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ar\/%d9%85%d9%8a%d9%84-%d8%b5%d9%8a%d8%ba%d8%a9-%d8%a7%d9%84%d8%ae%d8%b7\/\"> <span class=\"screen-reader-text\">\u0645\u064a\u0644 \u0627\u0644\u062e\u0637 (\u0627\u0644\u0635\u064a\u063a\u0629)<\/span> \u0642\u0631\u0627\u0621\u0629 \u0627\u0644\u0645\u0632\u064a\u062f &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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\u0645\u0627 \u0647\u064a \u0635\u064a\u063a\u062a\u0647\u060c \u0623\u0645\u062b\u0644\u0629 \u062d\u0633\u0627\u0628\u064a\u0629\u060c \u0645\u0627\u0630\u0627 \u064a\u0639\u0646\u064a \u0645\u0641\u0647\u0648\u0645 \u0645\u064a\u0644 \u0627\u0644\u062e\u0637\u060c&#8230; \u0643\u0645\u0627 \u0633\u062a\u062a\u0645\u0643\u0646 \u0645\u0646 \u0645\u0639\u0631\u0641\u0629 \u0643\u064a\u0641\u064a\u0629 \u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0645\u064a\u0644 \u0628\u0633\u0647\u0648\u0644\u0629 \u0644\u062e\u0637 \u0645\u0646 \u0645\u0639\u0627\u062f\u0644\u062a\u0647\u060c \u0648\u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0633\u062a\u062a\u0645\u0643\u0646 \u0645\u0646 \u0627\u0644\u062a\u062f\u0631\u0628 \u0639\u0644\u0649 \u062d\u0644 \u0627\u0644\u062a\u0645\u0627\u0631\u064a\u0646 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629. \u0635\u064a\u063a\u0629 \u0644\u0645\u0646\u062d\u062f\u0631 \u0627\u0644\u062e\u0637 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