Question

2.(06.02 MC)

Answer 1

For now, let's focus on segment RS

R = (-2, 7)

S = (-8, 1)

Apply the slope formula to get

m = (y2-y1)/(x2-x1)

m = (1-7)/(-8-(-2))

m = (1-7)/(-8+2)

m = -6/(-6)

m = 1

The slope is 1.

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Now turn your attention to segment UV

U = (4, 5)

V = (1, 2)

We should get a slope of 1. Let's find out

m = (y2 - y1)/(x2 - x1)

m = (2-5)/(1-4)

m = -3/(-3)

m = 1

We get the correct value.

Because segment RS and segment UV have the same slope (m = 1), this means the two segments are parallel. Imagine extending segment RS out infinitely in both directions. Do the same for segment UV. These two extended parallel lines will never intersect.