write the ordered pair that represents the midpoint of the two given points shown below.

Explanation:

Step1: Identify the points

Let the first point be $(-6,-2)$ and the second point be $(-2,6)$.

Step2: Recall mid - point formula

The mid - point formula for two points $(x_1,y_1)$ and $(x_2,y_2)$ is $\left(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2}\right)$.

Step3: Calculate x - coordinate of mid - point

$x=\frac{-6+( - 2)}{2}=\frac{-6 - 2}{2}=\frac{-8}{2}=-4$.

Step4: Calculate y - coordinate of mid - point

$y=\frac{-2 + 6}{2}=\frac{4}{2}=2$.

Answer:

$(-4,2)$