A dilation has center (0,0). Find the image of the point L(-4,0) for the scale factor 9. Dg (L=L(Type an ordered pair. Simplify your 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)

a is the right answer