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Understanding Slope and Proportions in Similar Triangles for Line Graphs

Learn how to compare rise to run in similar slope triangles using proportions. Calculate slopes and find points on a line graph.

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Understanding Slope and Proportions in Similar Triangles for Line Graphs

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  1. 3-3 - Slope and similar triangles

  2. Write a proportion to compare the rise to the run for each of the similar slope triangles Y a Triangle # 1 4 2 2 1 rise run 6 2 b c Triangle # 2 3 6 3 2 1 rise run X 4 1 d proportion e be de ac bc 4 2 6 3 2 1 2 = = =

  3. Pick 2 points on the line and find the slope Y (x2, y2) (10,7) rise run Slope formula y2 – y1 x2 – x1 (6,5) 1 2 (x2, y2) (x1, y1) (2,3) 3 – 2 2 - 0 1 2 Pick 2 different points on the line and find the slope of those points (0,2) (x1, y1) X rise run Slope formula y2 – y1 x2 – x1 2 4 1 2 7 - 5 10 - 6 2 4 1 2

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