Answer:
a. (-3,3), (18,-6), (9,15)
Step-by-step explanation:
If the scale factor is 3 and dilation is about the origin, each of the coordinates of the pre-image is multiplied by 3 to get the coordinates of the image.
Multiplying (-1, 1) by 3 gives (-3, 3), which matches choices A and C.
Multiplying (6, -2) by 3 gives (18, -6) which matches choices A and D.
The only viable choice is choice A.
Use the slope formula.
Y2 - Y1 / X2 - X1
(3,1) (6,-5)
-5 - 1 / 6 - 3
-6 / 3
slope = -2