Question

find the midpoint between the points shown on the coordinate plane below:

Explanation:

Step1: Determine the coordinates of the two points

The coordinates of the first point are $(-4,2)$ and the coordinates of the second point are $(2,-6)$.

Step2: Use the midpoint formula

The midpoint formula is $(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$.
Substitute $x_1=-4,x_2 = 2,y_1=2,y_2=-6$ into the formula:
For the $x$-coordinate of the midpoint: $\frac{-4 + 2}{2}=\frac{-2}{2}=-1$.
For the $y$-coordinate of the midpoint: $\frac{2+(-6)}{2}=\frac{2 - 6}{2}=\frac{-4}{2}=-2$.

Answer:

$(-1,-2)$