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 WV? A.) −2 B.) 2 C.) −1 D.) 1

Explanation:

W = (a+3, b-3)

V = (a+5, b-1)

Let (x1,y1) = (a+3, b-3) and (x2,y2) = (a+5, b-1)

Compute the slope using the slope formula

m = slope

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

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

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

m = 2/2

m = 1

Conveniently all the variable terms (of 'a's and 'b's) cancel out leaving us with a single number. It doesn't matter what the value of 'a' or 'b' is, as the slope of WV is always 1.

The slope of any parallel line to WV will also be 1 as well. Parallel lines have equal slopes, but different y intercepts.

d

step-by-step explanation: