Question

Points C ( − 5 , 8 ) and D ( 2 , 5 ) lie on line CD. If points C ′ and D ′ are created by translating points C and D left 6 units, what is the slope of line C ′ D ′ ?

A.
3
7

B.
−
3
7

C.

7
3


D.
−
7
3

Answer 1

B. -3/7

Explanation:

The slope of CD is (Dy -Cy)/(Dx -Cx) = (5-8)/(2-(-5)) = -3/7.

Translation does not affect the slopes of lines. Of the transformations we study, only rotation affects the slope of a line.

The translated line segment has slope -3/7.