Find the Midpoint (16,5) , (-6,-9)

$(16, 5)$ , $(- 6, - 9)$

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 $(x_{2}, y_{2})$ .

$(\frac{16 - 6}{2}, \frac{5 - 9}{2})$

Cancel the common factor of $16 - 6$ and $2$ .

Factor $2$ out of $16$ .

$(\frac{2 \cdot 8 - 6}{2}, \frac{5 - 9}{2})$

Factor $2$ out of $- 6$ .

$(\frac{2 \cdot 8 + 2 \cdot - 3}{2}, \frac{5 - 9}{2})$

Factor $2$ out of $2 \cdot 8 + 2 \cdot - 3$ .

$(\frac{2 \cdot (8 - 3)}{2}, \frac{5 - 9}{2})$

Cancel the common factors.

Factor $2$ out of $2$ .

$(\frac{2 \cdot (8 - 3)}{2 (1)}, \frac{5 - 9}{2})$

Cancel the common factor.

$(\frac{2 \cdot (8 - 3)}{2 \cdot 1}, \frac{5 - 9}{2})$

Rewrite the expression.

$(\frac{8 - 3}{1}, \frac{5 - 9}{2})$

Divide $8 - 3$ by $1$ .

$(8 - 3, \frac{5 - 9}{2})$

Subtract $3$ from $8$ .

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

Subtract $9$ from $5$ .

$(5, \frac{- 4}{2})$

Divide $- 4$ by $2$ .

$(5, - 2)$