{"id":259567,"date":"2025-06-21T16:59:43","date_gmt":"2025-06-21T21:59:43","guid":{"rendered":"https:\/\/www.mometrix.com\/academy\/?page_id=259567"},"modified":"2026-04-23T15:44:02","modified_gmt":"2026-04-23T20:44:02","slug":"slope-calculator","status":"publish","type":"page","link":"https:\/\/www.mometrix.com\/academy\/slope-calculator\/","title":{"rendered":"Slope Calculator"},"content":{"rendered":"<p style=\"margin-top: -2em\">Use this calculator to help you quickly determine the slope of a line. Enter the coordinates for two points to get started.<\/p>\n<div class=\"calculatorContainer\" id=\"slopeCalculator\">\n<div class=\"background\">\n<div class=\"inputRow\"><label>Point A <math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mo>(<\/mo><msub><mi>x<\/mi><mn>1<\/mn><\/msub><mo>,<\/mo><msub><mi>y<\/mi><mn>1<\/mn><\/msub><mo>)<\/mo><\/math><\/label><input id=\"x1Input\" type=\"text\" placeholder=\"-5\" onkeyup=\"calculateSlope()\" \/><input id=\"y1Input\" type=\"text\" placeholder=\"5\" onkeyup=\"calculateSlope()\" \/><\/div>\n<div class=\"inputRow\"><label>Point B <math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mo>(<\/mo><msub><mi>x<\/mi><mn>2<\/mn><\/msub><mo>,<\/mo><msub><mi>y<\/mi><mn>2<\/mn><\/msub><mo>)<\/mo><\/math><\/label><input id=\"x2Input\" type=\"text\" placeholder=\"7\" onkeyup=\"calculateSlope()\" \/><input id=\"y2Input\" type=\"text\" placeholder=\"-3\" onkeyup=\"calculateSlope()\" \/><\/div>\n<div class=\"topResult\"><math ><mi mathvariant=\"normal\">Slope<\/mi><mo>&#xA0;<\/mo><mi>m<\/mi><mo>=<\/mo ><mfrac ><mrow><mo>&#8211;<\/mo><mn>2<\/mn><\/mrow ><mn>3<\/mn><\/mfrac ><\/math ><\/div>\n<div id=\"jxgbox\" class=\"jxgbox\"><\/div>\n<div class=\"result\"><math ><mi mathvariant=\"normal\">Slope<\/mi><mo>=<\/mo ><mfrac ><mrow ><msub><mi>y<\/mi><mn>2<\/mn><\/msub ><mo>&#8211;<\/mo><msub><mi>y<\/mi><mn>1<\/mn><\/msub><\/mrow ><mrow ><msub><mi>x<\/mi><mn>2<\/mn><\/msub ><mo>&#8211;<\/mo><msub><mi>x<\/mi><mn>1<\/mn><\/msub><\/mrow ><\/mfrac ><mo>=<\/mo ><mfrac ><mrow><mo>&#8211;<\/mo><mn>3<\/mn><mo>&#8211;<\/mo><mn>5<\/mn><\/mrow ><mrow><mn>7<\/mn><mo>&#8211;<\/mo><mo>(<\/mo><mo>&#8211;<\/mo><mn>5<\/mn><mo>)<\/mo><\/mrow><\/mfrac ><mo>=<\/mo ><mfrac ><mrow><mo>&#8211;<\/mo><mn>8<\/mn><\/mrow ><mn>12<\/mn><\/mfrac ><mo>=<\/mo ><mfrac ><mrow><mo>&#8211;<\/mo><mn>2<\/mn><\/mrow ><mn>3<\/mn><\/mfrac ><\/math ><\/div>\n<\/div>\n<div id=\"bugLink\" style=\"text-align: center; margin-bottom: 30px; font-size: 80%; margin-top: 0.7em\"> Found a bug? <a class=\"ylist\" href=\"https:\/\/airtable.com\/appgcc1PP0BbzPCbI\/shrb33jgGwb66DWHC?prefill_Test=Slope%20Calculator&#038;prefill_Question+Number=0&#038;prefill_Which+Form=Calculator-Feedback&#038;prefill_UP-ID=Calculator-Feedback%20-%20Slope%20Calculator%20-%200&#038;hide_Test=true&#038;hide_Which+Form=true&#038;hide_UP-ID=true&#038;hide_Question+Number=true\" target=\"_blank\" rel=\"noopener\" >Let us know!<\/a ><\/div>\n<\/div>\n<p>Knowing how to find the slope is an important math concept to understand!<\/p>\n<p>Take a look at these examples to see how it&#8217;s done:<\/p>\n<h2><span id=\"Find_the_Slope_from_Two_Points\" class=\"m-toc-anchor\"><\/span>Find the Slope from Two Points<\/h2>\n<div class=\"bulb-callout\"><span class=\"bulb-callout-icon\">\ud83d\udca1<\/span><span class=\"bulb-callout-text\">Find the slope of a line that passes through the points \\((2,3)\\) and \\((-1,-6)\\).<\/span><\/div>\n<p><img decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/09\/Finding-Slope-From-Two-Points.svg\" alt=\"A Cartesian plane showing a line passing through points A (2, 3) and B (\u22121, \u22126), with both points marked by yellow dots.\" width=\"494.5\" height=\"491\" class=\"aligncenter size-full wp-image-273238\"  role=\"img\" \/><\/p>\n<p>To find the slope from two points, we use the slope formula:<\/p>\n<div style=\"text-align: center;\">\\(m=\\dfrac{y_2-y_1}{x_2-x_1}\\)<\/div>\n<p>&nbsp;<br \/>\nFirst, let&#8217;s label the points.<\/p>\n<ul>\n<li style=\"margin-bottom: 12px\">\\((x_1,y_1)=(2,3)\\)<\/li>\n<li>\\((x_2,y_2)=(-1,-6)\\)<\/li>\n<\/ul>\n<p>Now we can plug these into the formula:<\/p>\n<div style=\"text-align: center;\">\\(m=\\dfrac{-6-3}{-1-2}\\)<\/div>\n<p>&nbsp;<br \/>\nNext, simplify the numerator and denominator:<\/p>\n<div style=\"text-align: center;\">\\(m=\\dfrac{-9}{-3}\\)<\/div>\n<p>&nbsp;<\/p>\n<p>The last step is to divide. Keep in mind that a negative divided by a negative is a positive!<\/p>\n<div style=\"text-align: center;\">\\(m=\\dfrac{-9}{-3}=\\dfrac{3}{1}=3\\)<\/div>\n<p>&nbsp;<\/p>\n<h2><span id=\"Find_the_Slope_from_a_Graph\" class=\"m-toc-anchor\"><\/span>Find the Slope from a Graph<\/h2>\n<div class=\"bulb-callout\"><span class=\"bulb-callout-icon\">\ud83d\udca1<\/span><span class=\"bulb-callout-text\">Find the slope of the line shown in the graph below.<\/span><\/div>\n<p><img decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/09\/Finding-Slope-From-a-Graph-Example.svg\" alt=\"Line graph with a positive slope displayed on a grid with x and y axes ranging from -2 to 6.\" width=\"494.5\" height=\"491\" class=\"aligncenter size-full wp-image-273250\"  role=\"img\" \/><\/p>\n<p>To find the slope from this graph, we can use &#8220;rise over run.&#8221;<\/p>\n<div style=\"text-align: center;\">\\(m=\\dfrac{\\text{rise}}{\\text{run}}\\)<\/div>\n<p>&nbsp;<br \/>\nFirst, identify two points on the line where the grid lines intersect clearly. Let&#8217;s use the points \\((0,1)\\) and \\((3,3)\\).<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/09\/Finding-Slope-From-a-Graph.svg\" alt=\"A Cartesian plane showing a line passing through points A (0, 1) and B (3, 3), with both points marked by yellow dots.\" width=\"494.5\" height=\"491\" class=\"aligncenter size-full wp-image-273247\"  role=\"img\" \/><\/p>\n<p>Next, we need to count the vertical change (the rise). To get from Point A to Point B, we have to move up two units, which means the rise is positive.<\/p>\n<p>Then, we need to count the horizontal change (the run). To get from Point A to Point B, we have to move right three units, which means the run is also positive.<\/p>\n<ul>\n<li>Rise = 2<\/li>\n<li>Run = 3<\/li>\n<\/ul>\n<p>All we have to do now is put our rise and run into the formula:<\/p>\n<div style=\"text-align: center;\">\\(m=\\dfrac{2}{3} \\approx 0.667\\)<\/div>\n<p>&nbsp;<\/p>\n<h2><span id=\"Find_the_Slope_from_an_Equation\" class=\"m-toc-anchor\"><\/span>Find the Slope from an Equation<\/h2>\n<div class=\"bulb-callout\"><span class=\"bulb-callout-icon\">\ud83d\udca1<\/span><span class=\"bulb-callout-text\">Find the slope of the line represented by the equation \\(4x+2y=8\\).<\/span><\/div>\n<p>To find the slope from this equation, we need to rewrite it in slope-intercept form, which is \\(y=mx+b\\).<\/p>\n<p>The variable \\(m\\) will be the slope, and our goal is to solve the equation for \\(y\\).<\/p>\n<p>First, we need to subtract \\(4x\\) from both sides of the equation:<\/p>\n<div style=\"text-align: center;\">\\(2y=-4x+8\\)<\/div>\n<p>&nbsp;<br \/>\nThen, we need to divide every term by 2 to get \\(y\\) by itself:<\/p>\n<div style=\"text-align: center; margin-bottom: 1em\">\\(\\dfrac{2y}{2}=\\dfrac{-4x}{2}+\\dfrac{8}{2}\\)<\/div>\n<div style=\"text-align: center;\">\\(y=-2x +4\\)<\/div>\n<p>&nbsp;<br \/>\nNow that the equation is in slope-intercept form, we can easily identify the slope, \\(m\\). It&#8217;s the number being multiplied by \\(x\\), which is \u20132 in this case.<\/p>\n<hr>\n<h2><span id=\"More_Resources\" class=\"m-toc-anchor\"><\/span>More Resources<\/h2>\n<p>Click below to watch a comprehensive video about finding the slope, along with other helpful resources to help you fully grasp the topic!<\/p>\n<div class=\"home-buttons2\">\n<p><a href=\"https:\/\/www.mometrix.com\/academy\/finding-the-slope-of-a-line\/\">Learn More About Slope!<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Use this calculator to help you quickly determine the slope of a line. Enter the coordinates for two points to get started. Point A (x1,y1) Point B (x2,y2) Slope&#xA0;m=&#8211;23 Slope=y2&#8211;y1x2&#8211;x1=&#8211;3&#8211;57&#8211;(&#8211;5)=&#8211;812=&#8211;23 Found a bug? Let us know! Knowing how to find the slope is an important math concept to understand! Take a look at these examples &#8230; <a title=\"Slope Calculator\" class=\"read-more\" href=\"https:\/\/www.mometrix.com\/academy\/slope-calculator\/\" aria-label=\"Read more about Slope Calculator\">Read more<\/a><\/p>\n","protected":false},"author":79,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-259567","page","type-page","status-publish"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/259567","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/users\/79"}],"replies":[{"embeddable":true,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/comments?post=259567"}],"version-history":[{"count":6,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/259567\/revisions"}],"predecessor-version":[{"id":292235,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/259567\/revisions\/292235"}],"wp:attachment":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/media?parent=259567"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}