Find the Midpoint (-9,2) and (-5,-6)

$(- 9, 2)$ and $(- 5, - 6)$

Use the midpoint formula to find the midpoint of the line segment.

$(\frac{x_{1} + x_{2}}{2}, \frac{y_{1} + y_{2}}{2})$

Substitute in the values for $(x_{1}, y_{1})$ and $(x_{2}, y_{2})$ .

$(\frac{- 9 - 5}{2}, \frac{2 - 6}{2})$

Subtract $5$ from $- 9$ .

$(\frac{- 14}{2}, \frac{2 - 6}{2})$

Divide $- 14$ by $2$ .

$(- 7, \frac{2 - 6}{2})$

Cancel the common factor of $2 - 6$ and $2$ .

Factor $2$ out of $2$ .

$(- 7, \frac{2 \cdot 1 - 6}{2})$

Factor $2$ out of $- 6$ .

$(- 7, \frac{2 \cdot 1 + 2 \cdot - 3}{2})$

Factor $2$ out of $2 \cdot 1 + 2 \cdot - 3$ .

$(- 7, \frac{2 \cdot (1 - 3)}{2})$

Cancel the common factors.

Factor $2$ out of $2$ .

$(- 7, \frac{2 \cdot (1 - 3)}{2 (1)})$

Cancel the common factor.

$(- 7, \frac{2 \cdot (1 - 3)}{2 \cdot 1})$

Rewrite the expression.

$(- 7, \frac{1 - 3}{1})$

Divide $1 - 3$ by $1$ .

$(- 7, 1 - 3)$

Subtract $3$ from $1$ .

$(- 7, - 2)$