https://www.khanacademy.org/math/algebra-1-eureka-squared-aligned/x15446f63b23e2a07:equations-and-inequalities-in-two-variables/x15446f63b23e2a07:solution-sets-of-linear-equations-in-two-variables/v/two-variable-linear-equations-intro-indian-accent 2025-06-10T04:38:32.202755958Z 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! Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now! Khan Academy India is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We have videos and exercises that have been translated into multiple Indian languages, and 15 million people around the globe learn on Khan Academy every month. Support Us: https://india.khanacademy.org/donate Created by Kalakrit (Dubbing) video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw 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! Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now! Khan Academy India is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We have videos and exercises that have been translated into multiple Indian languages, and 15 million people around the globe learn on Khan Academy every month. Support Us: https://india.khanacademy.org/donate Created by https://cdn.kastatic.org/ka-youtube-converted/HKnvMMPiyZw.mp4/HKnvMMPiyZw.mp4 501 Linear equations in two variables 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 Linear equations in two variables https://www.khanacademy.org/math/class-9-tg/x06d55bfa213a79fd:linear-equations-in-two-variables/x06d55bfa213a79fd:solution-of-a-linear-equation-in-two-variables/v/worked-example-solutions-to-2-variable-equations-indian-accent 2025-06-03T19:25:43.416794683Z 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. Kalakrit (Dubbing) video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw 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/as1W1_Bz63Y.mp4/as1W1_Bz63Y.mp4 147 Linear equations in two variables https://www.khanacademy.org/math/class-9-tg/x06d55bfa213a79fd:linear-equations-in-two-variables/x06d55bfa213a79fd:solution-of-a-linear-equation-in-two-variables/v/completing-solutions-to-2-variable-equations-indian-accent 2025-06-03T19:25:43.416794683Z Completing solutions to 2-variable equations Given a 2-variable equation and the x or y values of a solution, lets finds the value of the other variable in the solution. Kalakrit (Dubbing) video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Completing solutions to 2-variable equations Given a 2-variable equation and the x or y values of a solution, lets finds the value of the other variable in the solution. https://cdn.kastatic.org/ka-youtube-converted/k_HzTZtnsvk.mp4/k_HzTZtnsvk.mp4 431 Linear equations in two variables https://www.khanacademy.org/math/class-9-tg/x06d55bfa213a79fd:linear-equations-in-two-variables/x06d55bfa213a79fd:graph-of-a-linear-equation-in-two-variables/v/graphical-representation-of-y-mx 2026-02-18T21:20:35.275198076Z Graphical representation of y=mx Why does y = mx always pass through the origin? Let's find out! In this video, we start with a fun real-world problem: if a school has 30 girls, how many boys are there? Using this scenario, we build the equation y = 3x and explore the fascinating world of linear equations and their graphs. Watch as we plot coordinate points, draw straight lines, and discover why every equation of the form y = mx must pass through (0, 0). We'll also compare different lines like y = x, y = 2x, and y = -2x to understand how the value of ""m"" affects the steepness (slope) and direction of the line. Whether m is positive or negative changes everything, and we'll show you exactly why! Khan Academy video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Graphical representation of y=mx Why does y = mx always pass through the origin? Let's find out! In this video, we start with a fun real-world problem: if a school has 30 girls, how many boys are there? Using this scenario, we build the equation y = 3x and explore the fascinating world of linear equations and their graphs. Watch as we plot coordinate points, draw straight lines, and discover why every equation of the form y = mx must pass through (0, 0). We'll also compare different lines like y = x, y = 2x, and y = -2x to understand how the value of ""m"" affects the steepness (slope) and direction of the line. Whether m is positive or negative changes everything, and we'll show you exactly why! 405 Linear equations in two variables https://www.khanacademy.org/math/class-9-tg/x06d55bfa213a79fd:linear-equations-in-two-variables/x06d55bfa213a79fd:equation-of-lines-parallel-to-x-axis-and-y-axis/v/lines-parallel-to-x-and-y-axis 2026-02-18T21:20:35.275198076Z Lines parallel to X and Y-axis Ever wondered if the equation x = 3 represents a single point or an entire line? This video explores the fascinating relationship between equations and their graphical representations in both 1D and 2D. Learn how simple equations like x = a and y = b create vertical and horizontal lines that are parallel to the axes. We'll cover the core concept of substitution, walk through coordinate plotting, and identify special cases like the equations for the x-axis and y-axis themselves. Plus, test your knowledge with interactive quizzes and pick up key takeaways to master coordinate geometry! Khan Academy video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Lines parallel to X and Y-axis Ever wondered if the equation x = 3 represents a single point or an entire line? This video explores the fascinating relationship between equations and their graphical representations in both 1D and 2D. Learn how simple equations like x = a and y = b create vertical and horizontal lines that are parallel to the axes. We'll cover the core concept of substitution, walk through coordinate plotting, and identify special cases like the equations for the x-axis and y-axis themselves. Plus, test your knowledge with interactive quizzes and pick up key takeaways to master coordinate geometry! 513 Linear equations in two variables https://www.khanacademy.org/math/class-9-tg/x06d55bfa213a79fd:co-ordinate-geometry/x06d55bfa213a79fd:cartesian-system/v/equations-of-x-axis-and-y-axis 2025-08-15T17:11:32.994659184Z Equations of X-axis and Y-axis In this video, we explore the fundamental equations of the coordinate axes in a 2D Cartesian plane. The X-axis is defined by the equation y = 0, representing all points where the vertical coordinate vanishes, while the Y-axis follows x = 0, showing points where the horizontal coordinate is zero. We then dive into a simple but crucial distinction between (x, y) and (y, x): the order of values matters! Through intuitive visuals and relatable examples, we clarify how reversing the coordinates leads to distinct placements, reinforcing why coordinate order is essential in graphing and geometry. Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now!Unit link 00:00 Finding the equation for x-axis 02:42 Finding the equation for y-axis 04:30 (x,y) is not same as (y,x) Khan Academy India is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We have videos and exercises that have been translated into multiple Indian languages, and 15 million people around the globe learn on Khan Academy every month. Support Us: https://india.khanacademy.org/donate Created by Mahak Mahak Wasan video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Equations of X-axis and Y-axis In this video, we explore the fundamental equations of the coordinate axes in a 2D Cartesian plane. The X-axis is defined by the equation y = 0, representing all points where the vertical coordinate vanishes, while the Y-axis follows x = 0, showing points where the horizontal coordinate is zero. We then dive into a simple but crucial distinction between (x, y) and (y, x): the order of values matters! Through intuitive visuals and relatable examples, we clarify how reversing the coordinates leads to distinct placements, reinforcing why coordinate order is essential in graphing and geometry. Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now!Unit link 00:00 Finding the equation for x-axis 02:42 Finding the equation for y-axis 04:30 (x,y) is not same as (y,x) Khan Academy India is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We have videos and exercises that have been translated into multiple Indian languages, and 15 million people around the globe learn on Khan Academy every month. Support Us: https://india.khanacademy.org/donate Created by Mahak https://cdn.kastatic.org/ka-youtube-converted/gXKOihubbOM.mp4/gXKOihubbOM.mp4 332 Linear equations in two variables https://www.khanacademy.org/math/revision-tg-math-class-9/x6c9499d6e7016acd:week-2/x6c9499d6e7016acd:linear-equations-in-two-variables/e/revision-linear-equations-in-two-variables-tg-class-9 2026-02-18T21:20:35.275198076Z Revision linear equations in two variables TG class 9 . Khan Academy exercise