{"id":153664,"date":"2022-03-25T22:40:30","date_gmt":"2022-03-25T17:10:30","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/different-forms-of-the-equation-of-line-explanation-and-solved-example\/"},"modified":"2023-01-02T18:36:23","modified_gmt":"2023-01-02T13:06:23","slug":"different-forms-of-the-equation-of-line-explanation-and-solved-example","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/maths\/different-forms-of-the-equation-of-line\/","title":{"rendered":"Different Forms of the Equation of Line \u2013 Explanation and Solved Example"},"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\/different-forms-of-the-equation-of-line\/#An_Introduction_to_Equation_of_a_Line_in_Different_Forms\" title=\"An Introduction to Equation of a Line in Different Forms\">An Introduction to Equation of a Line in Different Forms<\/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\/different-forms-of-the-equation-of-line\/#Forms_of_the_Equation_of_the_Line\" title=\"Forms of the Equation of the Line\">Forms of the Equation of the Line<\/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\/different-forms-of-the-equation-of-line\/#Different_Forms_of_the_Equation_of_a_Straight_Line\" title=\"Different Forms of the Equation of a Straight Line\">Different Forms of the 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\/different-forms-of-the-equation-of-line\/#Slope-intercepts_Form_of_a_Line\" title=\"Slope-intercepts Form of a Line:\">Slope-intercepts Form of a Line:<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"An_Introduction_to_Equation_of_a_Line_in_Different_Forms\"><\/span>An Introduction to Equation of a Line in Different Forms<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>There are three forms of the equation of a line: slope-intercept form, standard form, and point-slope form.<\/p>\n<p>The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. The standard form is Ax + By = C, where A and B are not both zero. The point-slope form is y &#8211; y1 = m(x &#8211; x1), where (x1, y1) is a point on the line and m is the slope.<\/p>\n<p><img loading=\"lazy\" class=\"aligncenter wp-image-153663 size-medium\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/different-forms-of-the-equation-of-line-explanation-and-solved-example-300x212.jpg\" alt=\"Different Forms of the Equation of Line \" width=\"300\" height=\"212\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/different-forms-of-the-equation-of-line-explanation-and-solved-example-300x212.jpg?v=1648228226 300w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/different-forms-of-the-equation-of-line-explanation-and-solved-example.jpg?v=1648228226 606w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Forms_of_the_Equation_of_the_Line\"><\/span>Forms of the Equation of the Line<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The equation of a line is a mathematical statement that describes the linear relationship between two variables. There are several different forms of the equation of a line, each of which is suited to a particular situation.<\/p>\n<p>The most basic form of the equation of a line is y = mx + b, where m is the slope of the line and b is the y-intercept. This form can be used to determine the equation of a line given two points on the line.<\/p>\n<p>Another common form of the equation of a line is ax + by + c = 0, where a, b, and c are constants. This form can be used to find the equation of a line given its slope and y-intercept.<\/p>\n<p>Finally, the equation of a line can be expressed in terms of its coefficients of x and y, as well as its point of intersection. This form is xy = k, where k is a constant.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Different_Forms_of_the_Equation_of_a_Straight_Line\"><\/span>Different Forms of the Equation of a Straight Line<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>There are three forms of the equation of a straight line:<\/p>\n<p>y = mx + b<\/p>\n<p>y = a + bx<\/p>\n<p>y = ax + b<\/p>\n<p>The first form is the most common, and it is used to find the equation of a line when you are given two points on the line. The second form is used to find the equation of a line when you are given the slope and the y-intercept. The third form is used to find the equation of a line when you are given the slope and the x-intercept.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Slope-intercepts_Form_of_a_Line\"><\/span>Slope-intercepts Form of a Line:<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The slope-intercepts form of a line is the equation of a line in slope-intercept form, which is written as y = mx + b, where m is the slope of the line and b is the y-intercept.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>An Introduction to Equation of a Line in Different Forms There are three forms of the equation of a line: [&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":"Different Forms of the Equation of Line \u2013 Explanation and Solved Example","_yoast_wpseo_title":"%%title%% %%page%%","_yoast_wpseo_metadesc":"Learn about different forms of the equation 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