Question

Rectangle TUVW is on a coordinate plane at T (a, b), U (a + 2, b + 2), V (a + 5, b − 1), and W (a + 3, b − 3). What is the slope of the line that is parallel to the line that contains side UV?

a. −2
b. 2
c. −1
d. 1

Answer 1

c. -1

Explanation:

You want the slope of the line parallel to UV, where U=(a +2, b +2) and V = (a +5, b -1).

Slope

The slope of UV is given by ...

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

m = ((b -1) -(b +2))/((a +5) -(a +2)) = -3/3 = -1

The parallel line will have the same slope.

The slope of the line parallel to UV is -1, choice C.

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