we have that
Part 1
Point A(-7,-7)
The rule to translate point A is
(x,y) -------> (x+9, y+3)
so
A(-7,-7) -------> A'(-7+9,-7+3)
A'(2, -4)
Part 2
The rule to translate point B is
(x,y) ------> (x-5, y+6)
we have
B(7,-3)
so
B(7,-3) ------- B'(7-5,-3+6)
B'(2,3)