Answer:
The image of the point after the dilation is (15,-21).
Step-by-step explanation:
To find the image of a point after a dilation by a factor, we multiply each coordinate in the point by the factor.
In this question, we have that:
Point (5,-7)
Dilation by a scale factor of 3, centered at the origin. So, multiply by 3
5*3 = 15
-7*3 = -21
The image of the point after the dilation is (15,-21).