Similar triangles ABC and DEF are shown on the coordinate plane line t passes through points B, E, F, and C

Slope of BC = AB/AC, and Slope of EF = DE/DF
BC and EF both lie on the same line t, therefore the slope of BC equals the slope of EF.
Similar triangles are two triangles having the same shape but different sizes, however, the ratio of their corresponding sides are equal.
Given:
ΔABC ~ ΔDEF
Slope of BC = AB/AC
Slope of EF = DE/DF
BC and EF both lie on the same line t, therefore the slope of BC equals the slope of EF.
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