The image of the point (-3, 8) under a translation is (1, 10). Find the coordinates of
the image of the point (5,-4) under the same translation.

(9, - 2 )

Step-by-step explanation:

Given (- 3, 8 ) → (1, 10 )

That is the x- coordinate of the image is 4 more than the original.

The y- coordinate of the image is 2 more than the original, so

Translation rule is (x, y ) → (x + 4, y + 2 ), thus

(5, - 4 ) → (5 + 4, - 4 + 2 ) → (9, - 2 )