Answer:
L' = (-36, 0)
Step-by-step explanation:
If the point (x, y) is dilated by a scale factor of k about the center (0, 0), then its image is the point (kx, ky)
∵ A dilation has a center (0, 0)
∵ The point L is (-4, 0)
∴ x = -4 and y = 0
∵ The scale factor of dilation is 9
∴ k = 9
→ By using the rule above
∵ kx = 9(-4) = -36
∵ ky = 9(0) = 0
∵ The image of the point L is (kx, ky)
∴ L' = (kx, ky)
∴ L' = (-36, 0)
