Find the Midpoint (-4,-9) and (-10,-3)

$(- 4, - 9)$ and $(- 10, - 3)$

Step 1

Use the midpoint formula to find the midpoint of the line segment.

$(\frac{x_{1} + x_{2}}{2}, \frac{y_{1} + y_{2}}{2})$

Step 2

Substitute in the values for $(x_{1}, y_{1})$ and $(x_{2}, y_{2})$ .

$(\frac{- 4 - 10}{2}, \frac{- 9 - 3}{2})$

Step 3

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

Factor $2$ out of $- 4$ .

$(\frac{2 \cdot - 2 - 10}{2}, \frac{- 9 - 3}{2})$

Factor $2$ out of $- 10$ .

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

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

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

Cancel the common factors.

Factor $2$ out of $2$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Step 4

Subtract $5$ from $- 2$ .

$(- 7, \frac{- 9 - 3}{2})$

Step 5

Subtract $3$ from $- 9$ .

$(- 7, \frac{- 12}{2})$

Step 6

Divide $- 12$ by $2$ .

$(- 7, - 6)$

Step 7