{"id":156256,"date":"2022-03-26T01:33:18","date_gmt":"2022-03-25T20:03:18","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/slope-explanation-equation-examples-and-faqs\/"},"modified":"2022-12-22T21:37:50","modified_gmt":"2022-12-22T16:07:50","slug":"slope-explanation-equation-examples-and-faqs","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/maths\/slope\/","title":{"rendered":"Slope &#8211; Explanation, Equation, Examples, and FAQs"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/slope\/#What_is_a_Slope\" title=\"What is a Slope?\">What is a Slope?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/slope\/#Slope_Equation\" title=\"Slope Equation\">Slope Equation<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/slope\/#Equation_of_a_Straight_Line\" title=\"Equation of a Straight Line\">Equation of a Straight Line<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/slope\/#Equation_of_a_Line_Example\" title=\"Equation of a Line Example\">Equation of a Line Example<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/slope\/#How_to_Find_Equation_of_Line_Passing_Through_Two_Given_Points\" title=\"How to Find Equation of Line Passing Through Two Given Points?\">How to Find Equation of Line Passing Through Two Given Points?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/slope\/#Line_Perpendicular_to_a_Line\" title=\"Line Perpendicular to a Line\">Line Perpendicular to a Line<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"What_is_a_Slope\"><\/span>What is a Slope?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>A slope is a mathematical term that describes the steepness, or incline, of a line. It is defined as the change in y-coordinate divided by the change in x-coordinate, and is usually expressed as a ratio or percentage. For example, if a line has a slope of 2, that means for every increase of 2 in the x-coordinate, there is a corresponding increase of 1 in the y-coordinate.<\/p>\n<p><img loading=\"lazy\" class=\"aligncenter wp-image-156255 size-full\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/slope-explanation-equation-examples-and-faqs.jpg\" alt=\"\" width=\"606\" height=\"428\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/slope-explanation-equation-examples-and-faqs.jpg?v=1648238595 606w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/slope-explanation-equation-examples-and-faqs-300x212.jpg?v=1648238595 300w\" sizes=\"(max-width: 606px) 100vw, 606px\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Slope_Equation\"><\/span>Slope Equation<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The slope equation states that the slope of a line is equal to the change in y-coordinates divided by the change in x-coordinates.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Equation_of_a_Straight_Line\"><\/span>Equation of a Straight Line<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The equation of a straight line is typically written in the form y = mx + b, where m is the slope of the line and b is the y-intercept. The slope of a line is the change in y divided by the change in x, and the y-intercept is the point at which the line crosses the y-axis.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Equation_of_a_Line_Example\"><\/span>Equation of a Line Example<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The equation of a line is y = mx + b, where m is the slope and b is the y-intercept.<\/p>\n<p>In the example below, the slope is 3 and the y-intercept is 1.<\/p>\n<p>y = 3x + 1<\/p>\n<h2><span class=\"ez-toc-section\" id=\"How_to_Find_Equation_of_Line_Passing_Through_Two_Given_Points\"><\/span>How to Find Equation of Line Passing Through Two Given Points?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>To find equation of line passing through two given points, we use the point-slope form of the equation of a line. This form is:<\/p>\n<p>y = mx + b<\/p>\n<p>Where:<\/p>\n<p>m is the slope of the line<\/p>\n<p>b is the y-intercept of the line<\/p>\n<p>To find the equation of a line passing through two points, P1(x1, y1) and P2(x2, y2), we simply plug in the coordinates of both points into the point-slope form equation.<\/p>\n<p>For example, if we want to find the equation of the line passing through the points (2, 3) and (5, -1), we would plug in these coordinates into the equation:<\/p>\n<p>y = mx + b<\/p>\n<p>y = (3)x + (0)<\/p>\n<p>y = 3x<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Line_Perpendicular_to_a_Line\"><\/span>Line Perpendicular to a Line<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>To find the equation of a line perpendicular to a given line, use the following steps:<\/p>\n<p>1. Write the equation of the given line.<\/p>\n<p>2. Use the slope of the given line to find the slope of the perpendicular line.<\/p>\n<p>3. Use the slope of the perpendicular line to find the equation of the perpendicular line.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>What is a Slope? A slope is a mathematical term that describes the steepness, or incline, of a line. It [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Slope - Explanation, Equation, Examples, and FAQs","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Learn about slope topic of Maths in details explained by subject experts on infinitylearn.com. 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