Final answer:
The image point of (4, -7) after a translation right 4 units and up 5 units is (8, -2).
Step-by-step explanation:
To find the image point after a translation right 4 units and up 5 units, we add the translation distances to the coordinates of the original point. Starting with (4, -7), we add 4 to the x-coordinate to get 8, and add 5 to the y-coordinate to get -2.
Therefore, the image point is (8, -2).