Answer:
(-6, -2)
Explanation:
We can represent the translation of a point 4 units to the left and 5 units up as addition of its coordinates:
"4 units to the left" can be represented as (x - 4, y)
"5 units up" can be represented as (x, y + 5)
on the point (x, y).
Applying this to the given vertex (-2, -7):
(-2 - 4, -7 + 5)
(-6, -2)