The image point for the given rule and preimage is (6 - 8)
When we apply a rule T<a, b> to a preimage point (x, y) we get the image (x + a, y + b), so this is like a translation.
So if we apply the rule T<4, -1> to the preimage point (2, -7), the image will be:
(2 + 4, - 7 + (-1)) = (6 - 8)
Concluding, the image point is (6 - 8)
If you want to learn more about translations, you can read:
https://brainly.com/question/2972832