https://www.khanacademy.org/math/cc-fifth-grade-math/imp-geometry-3/imp-intro-to-the-coordinate-plane/v/introduction-to-the-coordinate-plane 2022-11-16T04:22:43.7414897Z Introduction to the coordinate plane When we use coordinates to locate a point on a coordinate plane, we use two numbers to specify the horizontal (x) and vertical (y) positions. The first number in a coordinate pair tells us how far to move left or right from the origin, while the second number tells us how far to move up or down. video https://cdn.kastatic.org/ka_thumbnails_cache/eb451b7b-1a3e-47f3-a9dc-f52f81d8c689_1280_720_base.png Introduction to the coordinate plane When we use coordinates to locate a point on a coordinate plane, we use two numbers to specify the horizontal (x) and vertical (y) positions. The first number in a coordinate pair tells us how far to move left or right from the origin, while the second number tells us how far to move up or down. https://cdn.kastatic.org/ka-youtube-converted/pAlq9fFwtus.mp4/pAlq9fFwtus.mp4 408 Soluciones de ecuaciones lineales https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:foundation-algebra/x2f8bb11595b61c86:algebra-overview-history/v/descartes-and-cartesian-coordinates 2022-11-16T04:22:43.7414897Z Intro to the coordinate plane Descartes created a system of two perpendicular axes (the x and y axes) which could be used to plot points in a plane. This enabled the visualization of algebraic equations in geometric form. For example, a linear equation like y = 2x + 1 could be plotted as a line on the coordinate plane, while a quadratic equation like y = x^2 could be plotted as a parabola. This linked algebra and geometry through the use of graphs. Sal Khan video https://cdn.kastatic.org/googleusercontent/b_wyHsydMfQR3qFOjpW-IBcpbheOeQU_SAGUN9VHIcsx48s4w9Qovu-tBH6i6BLEZhIDhfQEu-VpcvP91LLBh4vc Intro to the coordinate plane Descartes created a system of two perpendicular axes (the x and y axes) which could be used to plot points in a plane. This enabled the visualization of algebraic equations in geometric form. For example, a linear equation like y = 2x + 1 could be plotted as a line on the coordinate plane, while a quadratic equation like y = x^2 could be plotted as a parabola. This linked algebra and geometry through the use of graphs. https://cdn.kastatic.org/ka-youtube-converted/N4nrdf0yYfM.mp4/N4nrdf0yYfM.mp4 682 Soluciones de ecuaciones lineales 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 Soluciones de ecuaciones lineales https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:linear-equations-graphs/x2f8bb11595b61c86:two-variable-linear-equations-intro/v/checking-ordered-pair-solutions-to-equations-1 2021-06-21T15:29:05Z Solutions to 2-variable equations The solution of an equation with one variable is a number. How does the solution of a 2-variable equation look like? Well, it is an ordered pair. Learn more about it and how to test solutions to 2-variable equations. video https://cdn.kastatic.org/googleusercontent/U1Nw8z_EbIYxw3S1XjnxyuKGT7-UXBNQKlwA1oiac9fcMXmuoDJWQ8YDNo3YXrh-Uz5cHapDYA_zXB8PGa41wsnR Solutions to 2-variable equations The solution of an equation with one variable is a number. How does the solution of a 2-variable equation look like? Well, it is an ordered pair. Learn more about it and how to test solutions to 2-variable equations. https://cdn.kastatic.org/ka-youtube-converted/qk69pR91R00.mp4/qk69pR91R00.mp4 155 Soluciones de ecuaciones lineales 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