Find the Midpoint (-8,-5) , (-4,3)

$(- 8, - 5)$ , $(- 4, 3)$

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

$(\frac{- 8 - 4}{2}, \frac{- 5 + 3}{2})$

Step 3

Cancel the common factor of $- 8 - 4$ and $2$ .

Factor $2$ out of $- 8$ .

$(\frac{2 \cdot - 4 - 4}{2}, \frac{- 5 + 3}{2})$

Factor $2$ out of $- 4$ .

$(\frac{2 \cdot - 4 + 2 \cdot - 2}{2}, \frac{- 5 + 3}{2})$

Factor $2$ out of $2 \cdot - 4 + 2 \cdot - 2$ .

$(\frac{2 \cdot (- 4 - 2)}{2}, \frac{- 5 + 3}{2})$

Cancel the common factors.

Factor $2$ out of $2$ .

$(\frac{2 \cdot (- 4 - 2)}{2 (1)}, \frac{- 5 + 3}{2})$

Cancel the common factor.

$(\frac{2 \cdot (- 4 - 2)}{2 \cdot 1}, \frac{- 5 + 3}{2})$

Rewrite the expression.

$(\frac{- 4 - 2}{1}, \frac{- 5 + 3}{2})$

Divide $- 4 - 2$ by $1$ .

$(- 4 - 2, \frac{- 5 + 3}{2})$

Step 4

Subtract $2$ from $- 4$ .

$(- 6, \frac{- 5 + 3}{2})$

Step 5

Add $- 5$ and $3$ .

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

Step 6

Divide $- 2$ by $2$ .

$(- 6, - 1)$

Step 7