Question

HELP! What are the coordinates of midpoint E? WILL GIVE BRAINLIEST!

Answer 1

The coordinates of the midpoint E is (-2a,-2b)

Explanation:

Given that the triangle ABC

We need to determine the coordinates of the midpoint E

Midpoint E:

The midpoint formula is given by

$M=\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)$

Let us substitute the coordinates of A(-3a, b) and C(-a, -5b), we get,

$M=\left(\frac{-3a-a}{2}, \frac{b-5b}{2}\right)$

Simplifying, we get,

$M=\left(\frac{-4a}{2}, \frac{-4b}{2}\right)$

$M=(-2a, -2b)$

Thus, the coordinates of the midpoint E is (-2a, -2b)