Question

The green and the orange triangles drawn on the line are similar.

What equation can be used to show that the slope of the line is the same between any two points?

rise 1 + run 1 = rise 2 + run 2
rise 1 x run 1 = rise 2 x run 2
run 1/rise 2 = run 2/rise1
run 1/rise 1 = run 2/ rie 2

Answer 1

Of these choices, the best is the last:

run 1/rise 1 = run 2/rise 2

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While this will show the slope is the same everywhere, it does so by actually showing the inverse of the slope is the same everywhere. Slope is defined as

slope = rise/run

Explanation:

Answer 2

Of these choices, the best is the last:
run 1/rise 1 = run 2/rise 2

_____
While this will show the slope is the same everywhere, it does so by actually showing the inverse of the slope is the same everywhere. Slope is defined as
slope = rise/run