https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/cc-8th-graphing-prop-rel/v/comparing-proportional-relationships-exercise-2 2023-09-21T22:20:18.864150437Z Rates & proportional relationships example Let's compare unit rates in equations and graphs. Learn how a change in 'x' affects 'y' in an equation like y = 6.5x, and see how this compares to the rate of change in a graph. Uncover why one might increase at a slower pace than the other. Sal Khan video https://cdn.kastatic.org/googleusercontent/HC4sH0b9wXnp_zQnueW1TDSWMG5BnowaBpWgvN8fLzLXe5fOWCvVZBPUp0j46p9bPERpoE3JflfYD-w9lxvdm6c Rates & proportional relationships example Let's compare unit rates in equations and graphs. Learn how a change in 'x' affects 'y' in an equation like y = 6.5x, and see how this compares to the rate of change in a graph. Uncover why one might increase at a slower pace than the other. https://cdn.kastatic.org/ka-youtube-converted/kHQCDrWTDv8.mp4/kHQCDrWTDv8.mp4 85 Relaciones proporcionales https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/cc-8th-graphing-prop-rel/e/comparing-proportional-relationships 2026-03-26T15:36:18.50668641Z Rates & proportional relationships A variety of questions about rates and proportional relationships involving graphs, tables, and equations. Rhonda Hughes exercise https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/cc-8th-graphing-prop-rel/v/graphing-proportional-relationships-example 2023-09-29T20:10:37.268517027Z Graphing proportional relationships: unit rate In proportional relationships, the unit rate is the slope of the line. Changes in x lead to steady changes in y when there's a proportional relationship. We can use the unit rate to write and graph an equation of the line that represents the relationship. Sal Khan video https://cdn.kastatic.org/googleusercontent/VHQjap8T0ai-8TxKJ7r6EBj3ju0bzCxSUlgm3oqgJZElZGM6wHSxQKDSG_BlIRSPZ1xM_437FZSXAHtwuZyWqSk Graphing proportional relationships: unit rate In proportional relationships, the unit rate is the slope of the line. Changes in x lead to steady changes in y when there's a proportional relationship. We can use the unit rate to write and graph an equation of the line that represents the relationship. https://cdn.kastatic.org/ka-youtube-converted/1F7LAJEVp-U.mp4/1F7LAJEVp-U.mp4 271 Relaciones proporcionales https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/cc-8th-graphing-prop-rel/v/graphing-proportional-relationships-example-2 2023-09-29T20:10:37.268517027Z Graphing proportional relationships from a table Let's graph a proportional relationship from a table of values. The graph of a proportional relationship is a line, so we can graph from any 2 points in the table. The slope of the line represents the unit rate, so changes in x and y values determine the slope. Sal Khan video https://cdn.kastatic.org/googleusercontent/Jd4Lz2_94xRqmTfnfKf0CvJIMKhZcLhrvqv0K-AaEas6_gcA8Tl_YzjRj7EBJucSrYUdrW8m0GmDB3qskl0l3bVpzA Graphing proportional relationships from a table Let's graph a proportional relationship from a table of values. The graph of a proportional relationship is a line, so we can graph from any 2 points in the table. The slope of the line represents the unit rate, so changes in x and y values determine the slope. https://cdn.kastatic.org/ka-youtube-converted/R32xBmxXj2E.mp4/R32xBmxXj2E.mp4 72 Relaciones proporcionales https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/cc-8th-graphing-prop-rel/v/graphing-proportional-relationships-example-3 2023-09-29T20:10:37.268517027Z Graphing proportional relationships from an equation Let's graph the equation y = 2.5x. For every increase of 1 in x, y increases by 2.5. We call this the "unit rate" or "slope". The graph shows a proportional relationship because y changes at a constant rate as x changes and because y is 0 when x is 0. Sal Khan video https://cdn.kastatic.org/googleusercontent/gubAZavVUwqfEb8wt2zcnUfsP7-6x9_BTnuwq3gcljQc5ZKw44XaPYLAbTdx6u9BM_MaMP7vdzP4anBaFqzG3HM Graphing proportional relationships from an equation Let's graph the equation y = 2.5x. For every increase of 1 in x, y increases by 2.5. We call this the "unit rate" or "slope". The graph shows a proportional relationship because y changes at a constant rate as x changes and because y is 0 when x is 0. https://cdn.kastatic.org/ka-youtube-converted/LoKEPEPaNm4.mp4/LoKEPEPaNm4.mp4 189 Relaciones proporcionales