Find the Midpoint (-4,-9) and (4,-1)

$(- 4, - 9)$ and $(4, - 1)$

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

$(\frac{- 4 + 4}{2}, \frac{- 9 - 1}{2})$

Step 3

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

Factor $2$ out of $- 4$ .

$(\frac{2 \cdot - 2 + 4}{2}, \frac{- 9 - 1}{2})$

Factor $2$ out of $4$ .

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

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

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

Cancel the common factors.

Factor $2$ out of $2$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Divide $- 2 + 2$ by $1$ .

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

Step 4

Add $- 2$ and $2$ .

$(0, \frac{- 9 - 1}{2})$

Step 5

Subtract $1$ from $- 9$ .

$(0, \frac{- 10}{2})$

Step 6

Divide $- 10$ by $2$ .

$(0, - 5)$

Step 7