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 Graficar de forma estándar https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:forms-of-linear-equations/x2f8bb11595b61c86:standard-form/v/plotting-x-y-relationships 2022-11-16T04:22:43.7414897Z Graphing a linear equation: 5x+2y=20 We can graph a the linear equation like 5x + 2y = 20 by rewriting it so y is isolated, then plugging in x values to find their corresponding y-values in a table. We can then graph those x-y pairs as points on a graph. Sal Khan video https://cdn.kastatic.org/googleusercontent/7yJGdQjBdDMseTIPkIpXZxn7GUpJn5TMzpUIYAKsNY0TpBXBHGhtX0u1feQq-pW_wqs1jIv0scQ26dpCPReFDMiX1g Graphing a linear equation: 5x+2y=20 We can graph a the linear equation like 5x + 2y = 20 by rewriting it so y is isolated, then plugging in x values to find their corresponding y-values in a table. We can then graph those x-y pairs as points on a graph. https://cdn.kastatic.org/ka-youtube-converted/86NwKBcOlow.mp4/86NwKBcOlow.mp4 269 Graficar de forma estándar https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:forms-of-linear-equations/x2f8bb11595b61c86:standard-form/v/standard-form-rules 2022-09-10T01:04:29.754011735Z Clarifying standard form rules Clarifying standard form rules video https://cdn.kastatic.org/googleusercontent/_C-sxRPPpHHTlPvSBNB1Y_piDWMfFZ_DBJJJ4frKuexi64dTflMMKMjkR0Fbhs3XzpVF6r6RxOWwaq6PYQF3Gmw Clarifying standard form rules Clarifying standard form rules https://cdn.kastatic.org/ka-youtube-converted/PfSsLjnnS60.mp4/PfSsLjnnS60.mp4 289 Graficar de forma estándar https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:forms-of-linear-equations/x2f8bb11595b61c86:standard-form/e/graph-from-standard-form-equation 2026-04-07T22:23:57.656416987Z Graph from linear standard form Find the graph of a linear equation given in standard form. Tomer Gal exercise https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:forms-of-linear-equations/x2f8bb11595b61c86:standard-form/v/converting-from-slope-intercept-to-standard-form 2022-11-16T04:22:43.7414897Z Converting from slope-intercept to standard form We can rewrite an equation in slope-intercept form (y=mx+b) to be in standard form (Ax+By=C) instead. In this example, we rewrite the slope-intercept equation y=2/3x+4/7 in standard form. video https://cdn.kastatic.org/googleusercontent/xm4t7AU5CZYhlhiKvIbjCK48DKjtK0wmJu70B9OYGRiqvxQXmEKW05rZ9f6HdQZohpaWlPGwqnkkSCNZ6LHUZ11w Converting from slope-intercept to standard form We can rewrite an equation in slope-intercept form (y=mx+b) to be in standard form (Ax+By=C) instead. In this example, we rewrite the slope-intercept equation y=2/3x+4/7 in standard form. https://cdn.kastatic.org/ka-youtube-converted/XOIhNVeLfWs.mp4/XOIhNVeLfWs.mp4 309 Graficar de forma estándar https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:forms-of-linear-equations/x2f8bb11595b61c86:standard-form/a/standard-form-review 2022-04-27T20:03:03.137387157Z Standard form review Review linear standard form and how to use it to solve problems. article https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:forms-of-linear-equations/x2f8bb11595b61c86:standard-form/e/converting_between_slope_intercept_and_standard_form 2025-03-01T15:52:37.13987578Z Convert linear equations to standard form Convert linear equations in various forms into standard form. Tomer Gal exercise https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:forms-of-linear-equations/x2f8bb11595b61c86:summary-forms-of-two-variable-linear-equations/v/slope-from-equation 2022-10-06T11:39:29.972393653Z Slope from equation Worked examples of finding the slope of a line given its equation, using many forms of equations. video https://cdn.kastatic.org/ka_thumbnails_cache/d0da6038-71dc-41b7-818f-54dec153403f_1280_720_base.png Slope from equation Worked examples of finding the slope of a line given its equation, using many forms of equations. https://cdn.kastatic.org/ka-youtube-converted/G4r9PpYQiL8.mp4/G4r9PpYQiL8.mp4 379 Graficar de forma estándar 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 2025-02-27T11:46:16.621461116Z 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:summary-forms-of-two-variable-linear-equations/v/point-slope-and-standard-form 2020-12-28T16:56:56Z Writing linear equations in all forms Sal finds the equation of a line that passes through (-3,6) and (6,0) in point-slope, slope-intercept, and standard form. Sal Khan video https://cdn.kastatic.org/googleusercontent/0g3ccQ9JmaQ62hKXjs1yB_0JTkzsoQ1Xdop4pWG_1g9hGdgJ-J6QKzuYQdTRXxa4AtuMKU3iqkpRNe_VdyzBwBAC Writing linear equations in all forms Sal finds the equation of a line that passes through (-3,6) and (6,0) in point-slope, slope-intercept, and standard form. https://cdn.kastatic.org/ka-youtube-converted/-6Fu2T_RSGM.mp4/-6Fu2T_RSGM.mp4 476 Graficar de forma estándar https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:forms-of-linear-equations/x2f8bb11595b61c86:summary-forms-of-two-variable-linear-equations/a/forms-of-linear-equations-review 2026-03-19T16:58:26.923096397Z Forms of linear equations review There are three major forms of linear equations: point-slope form, standard form, and slope-intercept form. We review all three in this article. article https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:forms-of-linear-equations/x2f8bb11595b61c86:summary-forms-of-two-variable-linear-equations/e/writing-the-equation-of-a-line-in-any-form 2025-03-01T15:52:37.13987578Z Linear equations in any form You've had practice with a few different forms of linear equations. Now use your skills. Tomer Gal exercise