Find the Midpoint (2,10) and (-3,6)

$(2, 10)$ and $(- 3, 6)$

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

$(\frac{2 - 3}{2}, \frac{10 + 6}{2})$

Subtract $3$ from $2$ .

$(\frac{- 1}{2}, \frac{10 + 6}{2})$

Move the negative in front of the fraction.

$(- \frac{1}{2}, \frac{10 + 6}{2})$

Cancel the common factor of $10 + 6$ and $2$ .

Factor $2$ out of $10$ .

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

Factor $2$ out of $6$ .

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

Factor $2$ out of $2 \cdot 5 + 2 \cdot 3$ .

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

Cancel the common factors.

Factor $2$ out of $2$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Divide $5 + 3$ by $1$ .

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

Add $5$ and $3$ .

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