Find the Midpoint (-2,-7) , (0,5)

$(- 2, - 7)$ , $(0, 5)$

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

$(\frac{- 2 + 0}{2}, \frac{- 7 + 5}{2})$

Step 3

Cancel the common factor of $- 2 + 0$ and $2$ .

Factor $2$ out of $- 2$ .

$(\frac{2 \cdot - 1 + 0}{2}, \frac{- 7 + 5}{2})$

Factor $2$ out of $0$ .

$(\frac{2 \cdot - 1 + 2 \cdot 0}{2}, \frac{- 7 + 5}{2})$

Factor $2$ out of $2 \cdot - 1 + 2 \cdot 0$ .

$(\frac{2 \cdot (- 1 + 0)}{2}, \frac{- 7 + 5}{2})$

Cancel the common factors.

Factor $2$ out of $2$ .

$(\frac{2 \cdot (- 1 + 0)}{2 (1)}, \frac{- 7 + 5}{2})$

Cancel the common factor.

$(\frac{2 \cdot (- 1 + 0)}{2 \cdot 1}, \frac{- 7 + 5}{2})$

Rewrite the expression.

$(\frac{- 1 + 0}{1}, \frac{- 7 + 5}{2})$

Divide $- 1 + 0$ by $1$ .

$(- 1 + 0, \frac{- 7 + 5}{2})$

Step 4

Add $- 1$ and $0$ .

$(- 1, \frac{- 7 + 5}{2})$

Step 5

Add $- 7$ and $5$ .

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

Step 6

Divide $- 2$ by $2$ .

$(- 1, - 1)$

Step 7