Find the Midpoint (2,-4) and (6,-10)

$(2, - 4)$ and $(6, - 10)$

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

$(\frac{2 + 6}{2}, \frac{- 4 - 10}{2})$

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

Factor $2$ out of $2$ .

$(\frac{2 \cdot 1 + 6}{2}, \frac{- 4 - 10}{2})$

Factor $2$ out of $6$ .

$(\frac{2 \cdot 1 + 2 \cdot 3}{2}, \frac{- 4 - 10}{2})$

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

$(\frac{2 \cdot (1 + 3)}{2}, \frac{- 4 - 10}{2})$

Cancel the common factors.

Factor $2$ out of $2$ .

$(\frac{2 \cdot (1 + 3)}{2 (1)}, \frac{- 4 - 10}{2})$

Cancel the common factor.

$(\frac{2 \cdot (1 + 3)}{2 \cdot 1}, \frac{- 4 - 10}{2})$

Rewrite the expression.

$(\frac{1 + 3}{1}, \frac{- 4 - 10}{2})$

Divide $1 + 3$ by $1$ .

$(1 + 3, \frac{- 4 - 10}{2})$

Add $1$ and $3$ .

$(4, \frac{- 4 - 10}{2})$

Cancel the common factor of $- 4 - 10$ and $2$ .

Factor $2$ out of $- 4$ .

$(4, \frac{2 \cdot - 2 - 10}{2})$

Factor $2$ out of $- 10$ .

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

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

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

Cancel the common factors.

Factor $2$ out of $2$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Divide $- 2 - 5$ by $1$ .

$(4, - 2 - 5)$

Subtract $5$ from $- 2$ .

$(4, - 7)$