Question

If ∠ABC has a vertex at (-2, -7) and is translated 4 units to the left and 5 units up, what are the coordinates of the new vertex?

Answer 1

(-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)