Find the Midpoint (12,-1) , (18,-9)

$(12, - 1)$ , $(18, - 9)$

Use the midpoint formula to find the midpoint of the line segment.

$(\frac{x_{1} + x_{2}}{2}, \frac{y_{1} + y_{2}}{2})$

Substitute in the values for $(x_{1}, y_{1})$ and $(x_{2}, y_{2})$ .

$(\frac{12 + 18}{2}, \frac{- 1 - 9}{2})$

Cancel the common factor of $12 + 18$ and $2$ .

Factor $2$ out of $12$ .

$(\frac{2 \cdot 6 + 18}{2}, \frac{- 1 - 9}{2})$

Factor $2$ out of $18$ .

$(\frac{2 \cdot 6 + 2 \cdot 9}{2}, \frac{- 1 - 9}{2})$

Factor $2$ out of $2 \cdot 6 + 2 \cdot 9$ .

$(\frac{2 \cdot (6 + 9)}{2}, \frac{- 1 - 9}{2})$

Cancel the common factors.

Factor $2$ out of $2$ .

$(\frac{2 \cdot (6 + 9)}{2 (1)}, \frac{- 1 - 9}{2})$

Cancel the common factor.

$(\frac{2 \cdot (6 + 9)}{2 \cdot 1}, \frac{- 1 - 9}{2})$

Rewrite the expression.

$(\frac{6 + 9}{1}, \frac{- 1 - 9}{2})$

Divide $6 + 9$ by $1$ .

$(6 + 9, \frac{- 1 - 9}{2})$

Add $6$ and $9$ .

$(15, \frac{- 1 - 9}{2})$

Subtract $9$ from $- 1$ .

$(15, \frac{- 10}{2})$

Divide $- 10$ by $2$ .

$(15, - 5)$