https://www.khanacademy.org/math/geometry/hs-geo-analytic-geometry/hs-geo-distance-and-midpoints/v/distance-formula 2021-06-30T20:49:37Z Distance formula Learn how to find the distance between two points by using the distance formula, which is an application of the Pythagorean theorem. We can rewrite the Pythagorean theorem as d=√((x_2-x_1)²+(y_2-y_1)²) to find the distance between any two points. Sal Khan video https://cdn.kastatic.org/googleusercontent/maCCgPGbvIWgjx9RXq9aqWkv53nqUgjYX1g_mL2TovqWJWe7aMfobUo0fHkpffnDPGUYTdnsZJI0-KqwUuloQvY Distance formula Learn how to find the distance between two points by using the distance formula, which is an application of the Pythagorean theorem. We can rewrite the Pythagorean theorem as d=√((x_2-x_1)²+(y_2-y_1)²) to find the distance between any two points. https://cdn.kastatic.org/ka-youtube-converted/nyZuite17Pc.mp4/nyZuite17Pc.mp4 579 Straight Lines https://www.khanacademy.org/math/geometry/hs-geo-analytic-geometry/hs-geo-dividing-segments/v/ratios-of-distances-between-colinear-points 2021-02-07T17:14:00Z Dividing line segments Watch Sal figure out the coordinates of a point between two other points that give a certain ratio. Sal Khan video https://cdn.kastatic.org/googleusercontent/aHCu8dDG3jWvyCSlGG54z_aJffuRpNTjpWXqnyzYFdVJqsjJd0iyj4ue9I16nZsnMiNEYZX8xuUJ4uzUHECSvJJu Dividing line segments Watch Sal figure out the coordinates of a point between two other points that give a certain ratio. https://cdn.kastatic.org/ka-youtube-converted/Cx-_PxD4DJM.mp4/Cx-_PxD4DJM.mp4 237 Straight Lines 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 Straight Lines https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:linear-equations-graphs/x2f8bb11595b61c86:slope/v/positive-and-negative-slope 2021-06-21T15:29:05Z Positive & negative slope Sal analyzes what it means for a slope to be positive or negative (spoiler: it affects the direction of the line!) video https://cdn.kastatic.org/googleusercontent/qKzK_1Y1okuQwqlOwe_2PkPDXtA-7qTqPi79AEm6sWSXKMj9g_HbyBcFSxPLiF8BzEiPuctAQkGTL8eBpfnBmbtKcw Positive & negative slope Sal analyzes what it means for a slope to be positive or negative (spoiler: it affects the direction of the line!) https://cdn.kastatic.org/ka-youtube-converted/EQoNfxToez0.mp4/EQoNfxToez0.mp4 302 Straight Lines 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 Straight Lines https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:linear-equations-graphs/x2f8bb11595b61c86:horizontal-vertical-lines/v/examples-of-slopes-and-equations-of-horizontal-and-vertical-lines 2022-10-06T23:01:00.745424633Z Horizontal & vertical lines Worked examples identifying the equations and slope of horizontal and vertical lines. video https://cdn.kastatic.org/ka_thumbnails_cache/8d7ae83b-942d-4b77-9d6a-7418917f860a_1280_720_base.png Horizontal & vertical lines Worked examples identifying the equations and slope of horizontal and vertical lines. https://cdn.kastatic.org/ka-youtube-converted/J43CIbKpdWc.mp4/J43CIbKpdWc.mp4 315 Straight Lines 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 Straight Lines 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 Straight Lines https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:forms-of-linear-equations/x2f8bb11595b61c86:writing-slope-intercept-equations/v/graphs-using-slope-intercept-form 2021-06-30T17:32:38Z Slope-intercept equation from graph Learn to write equations in slope-intercept form for three different lines. Sal Khan video https://cdn.kastatic.org/googleusercontent/Swr9Lqb06mdeb0T8fAlaKX3MMxim12Gw-8G16X5ZdzPAZuteaN9opFbpW4RJbUABgFwFY0hMB6ZIilSyusiItQ5S Slope-intercept equation from graph Learn to write equations in slope-intercept form for three different lines. https://cdn.kastatic.org/ka-youtube-converted/9wOalujeZf4.mp4/9wOalujeZf4.mp4 671 Straight Lines 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 Straight Lines 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 Straight Lines https://www.khanacademy.org/math/geometry-home/analytic-geometry-topic/distance-between-a-point-and-a-line/v/distance-between-a-point-and-a-line 2020-07-26T05:38:44Z Distance between point & line The distance from a point to a line is the shortest distance between the point and any point on the line. This can be done with a variety of tools like slope-intercept form and the Pythagorean Theorem. Sal Khan video https://cdn.kastatic.org/googleusercontent/tJ0RqrQIAJ9l14zxp0386gc4_knp8W3HrcRc8AWb00xBQMa0jeEi_I9JG0B09CCdeMCAsIR39Sq71hYgpJHLEjCS Distance between point & line The distance from a point to a line is the shortest distance between the point and any point on the line. This can be done with a variety of tools like slope-intercept form and the Pythagorean Theorem. https://cdn.kastatic.org/ka-youtube-converted/iATjsfAX8yc.mp4/iATjsfAX8yc.mp4 332 Straight Lines https://www.khanacademy.org/math/ka-revision-class-11-math/x64e5efbb29d87707:week-2-revision-ncert-class-11-math/x64e5efbb29d87707:straight-lines-revision-ncert-class-11-math/e/revision-straight-lines-ncert-class-11-math 2026-04-08T00:16:02.937952483Z Revision Straight Lines Practice problems for revision of Straight Lines. Satya Swaroop exercise