Find the Midpoint (-7,-2) , (-1,6)

$(- 7, - 2)$ , $(- 1, 6)$

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

$(\frac{- 7 - 1}{2}, \frac{- 2 + 6}{2})$

Step 3

Subtract $1$ from $- 7$ .

$(\frac{- 8}{2}, \frac{- 2 + 6}{2})$

Step 4

Divide $- 8$ by $2$ .

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

Step 5

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

Factor $2$ out of $- 2$ .

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

Factor $2$ out of $6$ .

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

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

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

Cancel the common factors.

Factor $2$ out of $2$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

$(- 4, - 1 + 3)$

Step 6

Add $- 1$ and $3$ .

$(- 4, 2)$

Step 7