Segment XY has endpoints located at 9,3 and -15,-18 when graphed on a coordinate plane. Segment XY is dilated about the origin. Which scale factor k, produces an image with endpoints 6,2 and -10,-12?

Question

Segment XY has endpoints located at (9,3)and (-15,-18)when graphed on a coordinate plane. Segment XY is dilated about the origin. Which scale factor k, produces an image with endpoints (6,2) and (-10,-12)?

A) k= 2/3

B) k= 6/5

C) k= 5

D) k= 6

Answer 1

The image of (9,3) is (6, 2)

if 9k = 6 and 3k = 2, then k = 2/3