https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:linear-equations-graphs/x2f8bb11595b61c86:two-variable-linear-equations-intro/v/2-variable-linear-equations-graphs 2020-12-28T16:56:57Z Two-variable linear equations intro Learn about a class of equations in two variables that's called "linear equations." They are called that way because their graph is a line. These are the most basic and probably most useful equations you will ever know! video https://cdn.kastatic.org/googleusercontent/ty2fFPJLOpy2BhOWaTr1bILvLfZlJqfFX-Esylm3ERF45F2EuUxC3D600MeP4j9ukxgzPVVHdvo039pDXcwcqHwwbQ Two-variable linear equations intro Learn about a class of equations in two variables that's called "linear equations." They are called that way because their graph is a line. These are the most basic and probably most useful equations you will ever know! https://cdn.kastatic.org/ka-youtube-converted/AOxMJRtoR2A.mp4/AOxMJRtoR2A.mp4 501 Linear equations in two variables https://www.khanacademy.org/math/8th-grade-math-revised-k-to-10-3-terms/x39ed6d789992bb2a:2nd-quarter/x39ed6d789992bb2a:linear-equations-in-two-variables/e/linear-equations-in-two-variables-4-1 2025-03-06T09:22:25.497672024Z Linear equations in two variables 4.1 Linear equations in two variables ashish exercise https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:linear-equations-graphs/x2f8bb11595b61c86:two-variable-linear-equations-intro/v/checking-ordered-pair-solutions-to-equations-2 2021-06-21T15:29:12Z Worked example: solutions to 2-variable equations How do you check if an ordered pair is a solution to a given equation? You need to plug in the numbers and see what equality results. Watch this video to see a worked example. video https://cdn.kastatic.org/googleusercontent/lXIHzzLee_-SalozzVyylXuLF83gMxSLkJvbqIilFSztGv7xRXSTOryo_3wPciCwhOukBJTTUXKknUi66ozY6NE Worked example: solutions to 2-variable equations How do you check if an ordered pair is a solution to a given equation? You need to plug in the numbers and see what equality results. Watch this video to see a worked example. https://cdn.kastatic.org/ka-youtube-converted/d3VMo1VWFvc.mp4/d3VMo1VWFvc.mp4 146 Linear equations in two variables https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:linear-equations-graphs/x2f8bb11595b61c86:two-variable-linear-equations-intro/e/plugging_in_values 2025-03-01T15:52:37.13987578Z Solutions to 2-variable equations Determine which ordered pairs are solutions to equations. Tomer Gal exercise https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:linear-equations-graphs/x2f8bb11595b61c86:two-variable-linear-equations-intro/v/graphing-solutions-to-2-variable-linear-equations-1 2021-06-21T15:29:11Z Completing solutions to 2-variable equations Given a 2-variable equation and the x or y values of a solution, Sal finds the value of the other variable in the solution. video https://cdn.kastatic.org/googleusercontent/wiN4ZmOS8FnIql8apHRZXe4lvyhC63eGA9mGNexyeEubHhB1KTCHIZ0_QaTESRAExk37ajl4ZfSAS7t4cw8QEHM Completing solutions to 2-variable equations Given a 2-variable equation and the x or y values of a solution, Sal finds the value of the other variable in the solution. https://cdn.kastatic.org/ka-youtube-converted/EHR-YDwrrhM.mp4/EHR-YDwrrhM.mp4 431 Linear equations in two variables https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:linear-equations-graphs/x2f8bb11595b61c86:two-variable-linear-equations-intro/e/graphing-solutions-to-two-variable-linear-equations 2025-03-01T15:52:37.13987578Z Complete solutions to 2-variable equations Given the x or y value of a 2-variable equation solution, find the value for the other variable in the solution. Tomer Gal exercise https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:forms-of-linear-equations/x2f8bb11595b61c86:standard-form/v/standard-form-for-linear-equations 2020-12-28T16:56:56Z Intro to linear equation standard form The standard form for linear equations in two variables is Ax+By=C. For example, 2x+3y=5 is a linear equation in standard form. When an equation is given in this form, it's pretty easy to find both intercepts (x and y). This form is also very useful when solving systems of two linear equations. video https://cdn.kastatic.org/googleusercontent/OKB4idranfJE6p9zWeQSSJLgPiOfFDPmSMjd2YZm0guD_dxenRLGvwWbjdJKwSk-9mOcHsZHQxTXrByfWclqZ3U Intro to linear equation standard form The standard form for linear equations in two variables is Ax+By=C. For example, 2x+3y=5 is a linear equation in standard form. When an equation is given in this form, it's pretty easy to find both intercepts (x and y). This form is also very useful when solving systems of two linear equations. https://cdn.kastatic.org/ka-youtube-converted/6CFE60iP2Ug.mp4/6CFE60iP2Ug.mp4 487 Linear equations in two variables https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:linear-equations-graphs/x2f8bb11595b61c86:x-intercepts-and-y-intercepts/v/finding-x-intercept-of-a-line 2021-06-21T15:29:09Z x-intercept of a line Sal determines the x-intercept of a linear equation from a graph. Afterwards, he checks his work by plugging values back into the equation. Sal Khan video https://cdn.kastatic.org/googleusercontent/ZgkWb4lUVg9gGg0kiZR6gSfde5nW2wSK88jS4nydaqTKe_Sz-vG1znCO-O5kpJDFGdDv1TdQR5Qvp74C1gaxr5Y8 x-intercept of a line Sal determines the x-intercept of a linear equation from a graph. Afterwards, he checks his work by plugging values back into the equation. https://cdn.kastatic.org/ka-youtube-converted/xiIQQNufFuU.mp4/xiIQQNufFuU.mp4 103 Linear equations in two variables https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:linear-equations-graphs/x2f8bb11595b61c86:x-intercepts-and-y-intercepts/v/finding-intercepts-for-a-linear-function-from-a-table 2023-09-29T20:10:37.268517027Z Intercepts from a table The y-intercept is the y-coordinate when x=0, and the x-intercept is the x-coordinate when y=0. The y-intercept is not in the table. Since the table represents a line, there's a constant rate of change of y with respect to x. So we can find that pattern and fill in skipped values from the table to find the y-intercept. Sal Khan video https://cdn.kastatic.org/googleusercontent/6Qhtf8-Orrg9sZcVa8NI7XfQmlAPPy2wogh-8GvFgbg_jBuYsFANoITfE23ngUpi-LvZCpUWVjDhW77PR5lFVuhsSQ Intercepts from a table The y-intercept is the y-coordinate when x=0, and the x-intercept is the x-coordinate when y=0. The y-intercept is not in the table. Since the table represents a line, there's a constant rate of change of y with respect to x. So we can find that pattern and fill in skipped values from the table to find the y-intercept. https://cdn.kastatic.org/ka-youtube-converted/CGZZINHT0I8.mp4/CGZZINHT0I8.mp4 240 Linear equations in two variables https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:linear-equations-graphs/x2f8bb11595b61c86:x-intercepts-and-y-intercepts/e/linear-function-intercepts 2026-04-07T22:23:57.656416987Z Intercepts from a graph Look at the graph of an equation to find x-intercepts and y-intercepts Tomer Gal exercise https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:linear-equations-graphs/x2f8bb11595b61c86:x-intercepts-and-y-intercepts/v/x-and-y-intercepts 2023-09-29T20:10:37.268517027Z Intercepts from an equation Let's graph -5x + 4y = 20 from its intercepts. Intercepts are the places where a line crosses the x- and y-axes. When a line crosses the x-axis, the y value is 0. That's the x-intercept. When a line crosses the y-axis, the x value is 0. That's the y-intercept.  The line passes through those points. Sal Khan video https://cdn.kastatic.org/googleusercontent/GH32ZjufwSq4xPtAhD5hROJ6RIaO9KvYXODswrlP5f_dmGGsUwPy2P4goOSitQrnQzmD7kdY7bFO4DGprnQE9jM Intercepts from an equation Let's graph -5x + 4y = 20 from its intercepts. Intercepts are the places where a line crosses the x- and y-axes. When a line crosses the x-axis, the y value is 0. That's the x-intercept. When a line crosses the y-axis, the x value is 0. That's the y-intercept.  The line passes through those points. https://cdn.kastatic.org/ka-youtube-converted/xGmef7lFc5w.mp4/xGmef7lFc5w.mp4 248 Linear equations in two variables https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/8th-x-and-y-intercepts/v/x-and-y-intercepts-2 2023-09-29T20:10:37.268517027Z Worked example: intercepts from an equation Let's find the x- and y-intercepts of the equation 2y + 1/3x = 12, where a line crosses the x-axis (the x-intercept) and the y-axis (the y-intercept) on a graph. To find the x-intercept, we make y equal to 0 and solve the equation for x. To find the y-intercept, we make x equal to 0 and solve for y. Sal Khan video https://cdn.kastatic.org/googleusercontent/JlB8Y6tJy0E2we3L4yF20OsE2lIqv37LZ5O6IMlnkrRkpo-x1KCYUPdcY0tlOyJhLT7hjF-QhyckR0-oTp53II0 Worked example: intercepts from an equation Let's find the x- and y-intercepts of the equation 2y + 1/3x = 12, where a line crosses the x-axis (the x-intercept) and the y-axis (the y-intercept) on a graph. To find the x-intercept, we make y equal to 0 and solve the equation for x. To find the y-intercept, we make x equal to 0 and solve for y. https://cdn.kastatic.org/ka-youtube-converted/405boztgZig.mp4/405boztgZig.mp4 205 Linear equations in two variables https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:linear-equations-graphs/x2f8bb11595b61c86:x-intercepts-and-y-intercepts/e/solving_for_the_x-intercept 2025-10-15T18:00:49.163753557Z Intercepts from an equation Solve linear equations for the x-intercept and y-intercept Tomer Gal exercise https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/8th-slope/v/slope-intuition-example 2023-09-29T20:10:37.268517027Z Slope & direction of a line A line that's flat has a slope of 0. If a line goes up as you move to the right, it has a positive slope. The steeper it is, the bigger the slope. If a line goes down as you move to the right, it has a negative slope. The steeper it is, the more negative the slope. Sal Khan video https://cdn.kastatic.org/googleusercontent/BsPaY9QA8Ikr5IeFwQ6rYFWvRtRltC1fwY6-TRWd5wh1QZEMNqdxGRqiMh2Y4AJbyf1iGkd4KZ353vvdQMQ6_jaC-Q Slope & direction of a line A line that's flat has a slope of 0. If a line goes up as you move to the right, it has a positive slope. The steeper it is, the bigger the slope. If a line goes down as you move to the right, it has a negative slope. The steeper it is, the more negative the slope. https://cdn.kastatic.org/ka-youtube-converted/6_9xNMtwnfs.mp4/6_9xNMtwnfs.mp4 155 Linear equations in two variables https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/8th-slope/a/slope-from-two-points 2026-03-05T15:30:38.395310058Z Intro to slope Walk through a graphical explanation of how to find the slope from two points and what it means. article https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/8th-slope/a/slope-formula 2024-08-02T18:09:52.444389438Z Slope formula Learn how to write the slope formula from scratch and how to apply it to find the slope of a line from two points. article https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:linear-equations-graphs/x2f8bb11595b61c86:slope/v/slope-of-a-line 2021-06-21T15:29:13Z Worked example: slope from graph The slope of a line is rise over run. Learn how to calculate the slope of the line in a graph by finding the change in y and the change in x. Sal Khan video https://cdn.kastatic.org/googleusercontent/yS8TgEKoKA9bxbEUlRnkKhItBgWvaNJP3EYPBzXQc5PrYcbsqMUrwqAfIB67dHCyuH4gKk47tCUqVDGWMVbDtPUH Worked example: slope from graph The slope of a line is rise over run. Learn how to calculate the slope of the line in a graph by finding the change in y and the change in x. https://cdn.kastatic.org/ka-youtube-converted/R948Tsyq4vA.mp4/R948Tsyq4vA.mp4 280 Linear equations in two variables https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/8th-slope/v/graphical-slope-of-a-line 2023-09-29T20:10:37.268517027Z Slope of a line: negative slope Slope is like a hill's steepness. We find it by dividing the vertical change (rise) by the horizontal change (run). If we move right on a graph and go up, the slope is positive. If we go down, it's negative. We can find the slope between any two points on a line, and it's always the same. Sal Khan video https://cdn.kastatic.org/googleusercontent/h-U0AZ_kE7dcr_oP11U73nphCOnE9O9KoHNSOJjauEigglZIqhQcDQJc2_npvz0pih7iCdXUdR5Am5Q188LsvzJN Slope of a line: negative slope Slope is like a hill's steepness. We find it by dividing the vertical change (rise) by the horizontal change (run). If we move right on a graph and go up, the slope is positive. If we go down, it's negative. We can find the slope between any two points on a line, and it's always the same. https://cdn.kastatic.org/ka-youtube-converted/81SseQCpGws.mp4/81SseQCpGws.mp4 240 Linear equations in two variables https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:linear-equations-graphs/x2f8bb11595b61c86:slope/e/slope-from-a-graph 2025-02-27T11:46:16.621461116Z Slope from graph Find the slope of a line on the coordinate plane. Tomer Gal exercise https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:linear-equations-graphs/x2f8bb11595b61c86:slope/v/slope-of-a-line-2 2023-09-29T20:10:37.268517027Z Worked example: slope from two points Let's find the slope of the line that goes through the ordered pairs (4,2) and (-3, 16). The slope, or steepness, of a line is found by dividing the vertical change (rise) by the horizontal change (run). The formula is slope =(y₂ - y₁)/(x₂ - x₁), where (x₁, y₁) and (x₂, y₂) are the coordinates of two points on the line. Sal Khan video https://cdn.kastatic.org/googleusercontent/PxBg2KX9haoU35DgDnNZNQT3OYNxJjLO0hRF4c5oRQPWs9fw_naaVnJnrS1qav0CtySrupVLoyiOMWJ3uCF_x5I Worked example: slope from two points Let's find the slope of the line that goes through the ordered pairs (4,2) and (-3, 16). The slope, or steepness, of a line is found by dividing the vertical change (rise) by the horizontal change (run). The formula is slope =(y₂ - y₁)/(x₂ - x₁), where (x₁, y₁) and (x₂, y₂) are the coordinates of two points on the line. https://cdn.kastatic.org/ka-youtube-converted/WkspBxrzuZo.mp4/WkspBxrzuZo.mp4 432 Linear equations in two variables https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:linear-equations-graphs/x2f8bb11595b61c86:slope/e/slope-from-two-points 2026-06-30T20:50:45.059975665Z Slope from two points Find the slope of the line that goes through the two points that are given to you. Tomer Gal exercise https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:linear-equations-graphs/x2f8bb11595b61c86:horizontal-vertical-lines/v/slope-of-a-line-3 2021-06-21T15:29:04Z Slope of a horizontal line When two points have the same y-value, it means they lie on a horizontal line. The slope of such a line is 0, and you will also find this by using the slope formula. Sal Khan video https://cdn.kastatic.org/googleusercontent/cBTmC5MfEidAmKp2M-8G1EExTbKL44_xgFWcpb_jz2rH2b0o6mhDXA5m6pKrsCmANKgyZ4jVYD9ER_m-fyPGyDFg Slope of a horizontal line When two points have the same y-value, it means they lie on a horizontal line. The slope of such a line is 0, and you will also find this by using the slope formula. https://cdn.kastatic.org/ka-youtube-converted/CFSHq099Mx0.mp4/CFSHq099Mx0.mp4 305 Linear equations in two variables https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:forms-of-linear-equations/x2f8bb11595b61c86:intro-to-slope-intercept-form/v/slope-intercept-form 2022-11-16T04:22:43.7414897Z Intro to slope-intercept form Slope-intercept form (y=mx+b) of linear equations highlights the slope (m) and the y-intercept (b) of a line. Watch this video to learn more about it and see some examples. video https://cdn.kastatic.org/googleusercontent/cnFnojSACauxu8WEhYXfJK_pGZ62mxsoB7_lEzEfUNWXWQxfBv0xz9A_FW1dGSN31wOk8v-I9XNuR54FN3GwWdgc Intro to slope-intercept form Slope-intercept form (y=mx+b) of linear equations highlights the slope (m) and the y-intercept (b) of a line. Watch this video to learn more about it and see some examples. https://cdn.kastatic.org/ka-youtube-converted/IL3UCuXrUzE.mp4/IL3UCuXrUzE.mp4 540 Linear equations in two variables https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:forms-of-linear-equations/x2f8bb11595b61c86:intro-to-slope-intercept-form/a/introduction-to-slope-intercept-form 2022-04-27T20:03:03.137387157Z Intro to slope-intercept form Learn about the slope-intercept form of two-variable linear equations, and how to interpret it to find the slope and y-intercept of their line. article https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:forms-of-linear-equations/x2f8bb11595b61c86:intro-to-slope-intercept-form/v/slope-intercept-intro-examples 2022-10-06T11:39:29.972393653Z Worked examples: slope-intercept intro Worked examples practicing the relationship between slope, y-intercept, and linear equation in slope-intercept form. video https://cdn.kastatic.org/ka_thumbnails_cache/a43cd314-87ae-43bc-a706-09b2c730909b_1280_720_base.png Worked examples: slope-intercept intro Worked examples practicing the relationship between slope, y-intercept, and linear equation in slope-intercept form. https://cdn.kastatic.org/ka-youtube-converted/qgsNNqmlLoA.mp4/qgsNNqmlLoA.mp4 226 Linear equations in two variables https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:forms-of-linear-equations/x2f8bb11595b61c86:intro-to-slope-intercept-form/v/less-obvious-slope-intercept-form 2022-11-16T04:22:43.7414897Z Slope and y-intercept from equation In an equation in slope-intercept form (y=mx+b) the slope is m and the y-intercept is b. We can also rewrite certain equations to look more like slope-intercept form. For example, y=x can be rewritten as y=1x+0, so its slope is 1 and its y-intercept is 0. video https://cdn.kastatic.org/googleusercontent/vyDhDp1mxh7oVXou7sgYlEa9opOksf3bBTznJsUf8jXCFqSFZ4tlPcQoKUMDFKmyAhyLnMLrdZE36agvvkSJXWs Slope and y-intercept from equation In an equation in slope-intercept form (y=mx+b) the slope is m and the y-intercept is b. We can also rewrite certain equations to look more like slope-intercept form. For example, y=x can be rewritten as y=1x+0, so its slope is 1 and its y-intercept is 0. https://cdn.kastatic.org/ka-youtube-converted/Z65mz__8DQ0.mp4/Z65mz__8DQ0.mp4 250 Linear equations in two variables https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:forms-of-linear-equations/x2f8bb11595b61c86:intro-to-slope-intercept-form/e/slope-from-an-equation-in-slope-intercept-form 2025-02-27T11:46:16.621461116Z Slope-intercept intro Practice your basic understanding of slope-intercept form for linear equations. Tomer Gal exercise https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:forms-of-linear-equations/x2f8bb11595b61c86:summary-forms-of-two-variable-linear-equations/e/slope-from-an-equation-in-standard-form 2026-05-04T16:10:46.51963925Z Slope from equation Find the slopes of lines whose equations are given in various forms. For example, find the slope of 2x+3y=5. Tomer Gal exercise https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:forms-of-linear-equations/x2f8bb11595b61c86:writing-slope-intercept-equations/v/equation-of-a-line-1 2022-11-16T04:22:43.7414897Z Slope-intercept equation from slope & point Learn how to write an equation in slope-intercept form (y=mx+b) for the line with a slope of -3/4 that goes through the point (0,8). We identify the slope (m) and y-intercept (b) to create our equation y = (-3/4)*x + 8. Sal Khan video https://cdn.kastatic.org/googleusercontent/Z-6-AJKkge5iz5_FQPxpQQp7m7tRkxgZ2pvmuCHUTakQZbyPw_CEVs7PDIvrtWP_bbYNx709GWu3RnV4Z7_Tk2g Slope-intercept equation from slope & point Learn how to write an equation in slope-intercept form (y=mx+b) for the line with a slope of -3/4 that goes through the point (0,8). We identify the slope (m) and y-intercept (b) to create our equation y = (-3/4)*x + 8. https://cdn.kastatic.org/ka-youtube-converted/AqFwKecNaTk.mp4/AqFwKecNaTk.mp4 226 Linear equations in two variables https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:forms-of-linear-equations/x2f8bb11595b61c86:writing-slope-intercept-equations/v/equation-of-a-line-3 2022-11-16T04:22:43.7414897Z Slope-intercept equation from two points Given two points on a line, we can write an equation for that line by finding the slope between those points, then solving for the y-intercept in the slope-intercept equation y=mx+b. In this example, we write an equation of the line that passes through the points (-1,6) and (5,-4). Sal Khan video https://cdn.kastatic.org/googleusercontent/otj__bWuSXnE5StgeN_MWBfBPJc7w5-tt_0RE_M-7vwJ7cBK_MJuUoNFxHPAtyKiNiL5VnrV8yd-D2AirNOh8ksi Slope-intercept equation from two points Given two points on a line, we can write an equation for that line by finding the slope between those points, then solving for the y-intercept in the slope-intercept equation y=mx+b. In this example, we write an equation of the line that passes through the points (-1,6) and (5,-4). https://cdn.kastatic.org/ka-youtube-converted/XMJ72mtMn4Y.mp4/XMJ72mtMn4Y.mp4 402 Linear equations in two variables https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:forms-of-linear-equations/x2f8bb11595b61c86:writing-slope-intercept-equations/e/slope-intercept-equation-from-two-points 2024-06-26T21:44:31.760146908Z Slope-intercept from two points Practice finding the equation of a line passing through two points. Tomer Gal exercise https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/8th-slope/v/converting-to-slope-intercept-form 2021-06-21T15:29:13Z Converting to slope-intercept form Learn to convert equations like 4x + 2y = -8 into slope-intercept form. Sal Khan video https://cdn.kastatic.org/googleusercontent/8LAENO-PbM0lieXhnsWtobWI5k8KJ9w_IJwzp4VJ3K2cwHQDXrkKo6z3T-F1FmY_LfaOBrY9fgwLSxouTfCl3be41g Converting to slope-intercept form Learn to convert equations like 4x + 2y = -8 into slope-intercept form. https://cdn.kastatic.org/ka-youtube-converted/V6Xynlqc_tc.mp4/V6Xynlqc_tc.mp4 307 Linear equations in two variables https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/write-slope-intercept-equations/v/linear-equations-in-slope-intercept-form 2021-06-21T15:29:13Z Slope-intercept form problems Learn how to solve problems involving writing an equation in slope-intercept form.  Sal Khan video https://cdn.kastatic.org/googleusercontent/gVlQaGDsNHXZWqp6PEw5QrNDHkCpbhD8E--DMd3EoarmXZT33Hs0Kvdgx_N0aOLmr81qbRQmerLHYIL8IQ-16Lg Slope-intercept form problems Learn how to solve problems involving writing an equation in slope-intercept form.  https://cdn.kastatic.org/ka-youtube-converted/5fkh01mClLU.mp4/5fkh01mClLU.mp4 898 Linear equations in two variables https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:forms-of-linear-equations/x2f8bb11595b61c86:point-slope-form/v/idea-behind-point-slope-form 2021-06-30T17:32:37Z Intro to point-slope form Point-slope is the general form y-y₁=m(x-x₁) for linear equations. It emphasizes the slope of the line and a point on the line (that is not the y-intercept). Watch this video to learn more about it and see some examples. Sal Khan video https://cdn.kastatic.org/googleusercontent/dW_2fPLtjUCrj5X_ewTIbdsFRNUJVXdV8ApEd6lbMGOyKfFYA2676a-wSBF9QlgaaZsv_cMV8KhU0IVLfzI2j3-3 Intro to point-slope form Point-slope is the general form y-y₁=m(x-x₁) for linear equations. It emphasizes the slope of the line and a point on the line (that is not the y-intercept). Watch this video to learn more about it and see some examples. https://cdn.kastatic.org/ka-youtube-converted/K_OI9LA54AA.mp4/K_OI9LA54AA.mp4 367 Linear equations in two variables https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:forms-of-linear-equations/x2f8bb11595b61c86:point-slope-form/v/point-slope-and-slope-intercept-form-from-two-points 2022-11-16T04:22:43.7414897Z Point-slope & slope-intercept equations Point-slope is the general form y-y₁=m(x-x₁) for linear equations. It emphasizes the slope of the line and a point on the line (that is not the y-intercept). We can rewrite an equation in point-slope form to be in slope-intercept form y=mx+b, to highlight the same line's slope and y-intercept. video https://cdn.kastatic.org/googleusercontent/7rFrdHW7AJ9ak3aFW83nepxIU_OyzEN4HrIi6pPz24TmO6vkpBIwAAGji3mMgpppw6HLueeJhjfze398WDMYLqAw Point-slope & slope-intercept equations Point-slope is the general form y-y₁=m(x-x₁) for linear equations. It emphasizes the slope of the line and a point on the line (that is not the y-intercept). We can rewrite an equation in point-slope form to be in slope-intercept form y=mx+b, to highlight the same line's slope and y-intercept. https://cdn.kastatic.org/ka-youtube-converted/LtpXvUCrgrM.mp4/LtpXvUCrgrM.mp4 427 Linear equations in two variables https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:forms-of-linear-equations/x2f8bb11595b61c86:point-slope-form/e/converting_between_point_slope_and_slope_intercept 2025-03-01T15:52:37.13987578Z Point-slope form Write equations in point-slope form given two pairs of values, and convert the equation into slope-intercept form. Tomer Gal exercise https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:forms-of-linear-equations/x2f8bb11595b61c86:point-slope-form/a/point-slope-form-review 2026-02-13T15:30:39.626178436Z Point-slope form review Review point-slope form and how to use it to solve problems. article https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:forms-of-linear-equations/x2f8bb11595b61c86:graphing-slope-intercept-equations/v/graphing-a-line-in-slope-intercept-form 2021-06-21T15:29:13Z Graph from slope-intercept equation To graph a linear equation in slope-intercept form, we can use the information given by that form. For example, y=2x+3 tells us that the slope of the line is 2 and the y-intercept is at (0,3). This gives us one point the line goes through, and the direction we should continue from that point to draw the entire line. Sal Khan video https://cdn.kastatic.org/googleusercontent/jjE5XuBSumnBo1Z-dEubApFfOW0p2JE5PEI9X9p6ENJjp7JP1TA6Ah-cT2eZRu5mAMhLOSeNsFs5cRi6UWJ85Yb_ng Graph from slope-intercept equation To graph a linear equation in slope-intercept form, we can use the information given by that form. For example, y=2x+3 tells us that the slope of the line is 2 and the y-intercept is at (0,3). This gives us one point the line goes through, and the direction we should continue from that point to draw the entire line. https://cdn.kastatic.org/ka-youtube-converted/uk7gS3cZVp4.mp4/uk7gS3cZVp4.mp4 181 Linear equations in two variables https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:forms-of-linear-equations/x2f8bb11595b61c86:graphing-slope-intercept-equations/e/graph-from-slope-intercept-equation 2026-04-07T23:17:37.123726494Z Graph from slope-intercept form Practice drawing the graph of a line given in slope-intercept form. For example, graph y = 3x + 2. Tomer Gal exercise