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

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

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

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

Step 3

Subtract $5$ from $- 2$ .

$(\frac{- 7}{2}, \frac{- 6 - 2}{2})$

Step 4

Move the negative in front of the fraction.

$(- \frac{7}{2}, \frac{- 6 - 2}{2})$

Step 5

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

Factor $2$ out of $- 6$ .

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

Factor $2$ out of $- 2$ .

$(- \frac{7}{2}, \frac{2 \cdot - 3 + 2 \cdot - 1}{2})$

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

$(- \frac{7}{2}, \frac{2 \cdot (- 3 - 1)}{2})$

Cancel the common factors.

Factor $2$ out of $2$ .

$(- \frac{7}{2}, \frac{2 \cdot (- 3 - 1)}{2 (1)})$

Cancel the common factor.

$(- \frac{7}{2}, \frac{2 \cdot (- 3 - 1)}{2 \cdot 1})$

Rewrite the expression.

$(- \frac{7}{2}, \frac{- 3 - 1}{1})$

Divide $- 3 - 1$ by $1$ .

$(- \frac{7}{2}, - 3 - 1)$

Step 6

Subtract $1$ from $- 3$ .

$(- \frac{7}{2}, - 4)$

Step 7