Answer:
(1, - 8 )
Explanation:
We have P(- 2, 3 ) → P'(- 6, - 4 )
The image coordinates are 4 less than the original x- coordinate and 7 less than the original y- coordinate, thus the translation rule is
T : (x, y ) → (x - 4, y - 7 ), thus
(5, - 1 ) → (5 - 4, - 1 - 7 ) → (1, - 8 )