Find the Midpoint (-2,8) , (5,0)

$(- 2, 8)$ , $(5, 0)$

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

$(\frac{- 2 + 5}{2}, \frac{8 + 0}{2})$

Add $- 2$ and $5$ .

$(\frac{3}{2}, \frac{8 + 0}{2})$

Cancel the common factor of $8 + 0$ and $2$ .

Factor $2$ out of $8$ .

$(\frac{3}{2}, \frac{2 \cdot 4 + 0}{2})$

Factor $2$ out of $0$ .

$(\frac{3}{2}, \frac{2 \cdot 4 + 2 \cdot 0}{2})$

Factor $2$ out of $2 \cdot 4 + 2 \cdot 0$ .

$(\frac{3}{2}, \frac{2 \cdot (4 + 0)}{2})$

Cancel the common factors.

Factor $2$ out of $2$ .

$(\frac{3}{2}, \frac{2 \cdot (4 + 0)}{2 (1)})$

Cancel the common factor.

$(\frac{3}{2}, \frac{2 \cdot (4 + 0)}{2 \cdot 1})$

Rewrite the expression.

$(\frac{3}{2}, \frac{4 + 0}{1})$

Divide $4 + 0$ by $1$ .

$(\frac{3}{2}, 4 + 0)$

Add $4$ and $0$ .

$(\frac{3}{2}, 4)$