Find the Midpoint (2,-6) and (-8,5)

$(2, - 6)$ and $(- 8, 5)$

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

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

Cancel the common factor of $2 - 8$ and $2$ .

Factor $2$ out of $2$ .

$(\frac{2 \cdot 1 - 8}{2}, \frac{- 6 + 5}{2})$

Factor $2$ out of $- 8$ .

$(\frac{2 \cdot 1 + 2 \cdot - 4}{2}, \frac{- 6 + 5}{2})$

Factor $2$ out of $2 \cdot 1 + 2 \cdot - 4$ .

$(\frac{2 \cdot (1 - 4)}{2}, \frac{- 6 + 5}{2})$

Cancel the common factors.

Factor $2$ out of $2$ .

$(\frac{2 \cdot (1 - 4)}{2 (1)}, \frac{- 6 + 5}{2})$

Cancel the common factor.

$(\frac{2 \cdot (1 - 4)}{2 \cdot 1}, \frac{- 6 + 5}{2})$

Rewrite the expression.

$(\frac{1 - 4}{1}, \frac{- 6 + 5}{2})$

Divide $1 - 4$ by $1$ .

$(1 - 4, \frac{- 6 + 5}{2})$

Subtract $4$ from $1$ .

$(- 3, \frac{- 6 + 5}{2})$

Add $- 6$ and $5$ .

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

Move the negative in front of the fraction.

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