Author: Khan Academy via YouTube
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https://www.khanacademy.org/math/grade-8-math-tx/x42e41b058fcf4059:untitled-76/x42e41b058fcf4059:similar-triangles-slope/v/similar-triangles-and-slope-proportion-using-coordinates

Students use similar triangles to show that the slope is the same between any two points on a line in the coordinate plane. This worked example shows how to write the proportion using the coordinates and the slope formula.

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