Answer: (-8,8)
Explanation:
First you will find the amount that the pre-image was translated by to get the image.
If the pre -image is (1,-3) and the image is (-4,-2) then we know that to get from 1 to -4 you will have to subtract 5 from one 1 , and to get from -3 to -2 you will have to add one.
This means that the translation rule will be ( x-5, y +1)
Using that rule, we will find the image of the point (-3,7) by subtracting 5 from the x coordinate and adding 1 to the y coordinate.
x: -3-5 = -8
y: 7 + 1 = 8
(-8,8)