Find the Midpoint (-12,-9) , (2,10)

$(- 12, - 9)$ , $(2, 10)$

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

$(\frac{- 12 + 2}{2}, \frac{- 9 + 10}{2})$

Step 3

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

Factor $2$ out of $- 12$ .

$(\frac{2 \cdot - 6 + 2}{2}, \frac{- 9 + 10}{2})$

Factor $2$ out of $2$ .

$(\frac{2 \cdot - 6 + 2 \cdot 1}{2}, \frac{- 9 + 10}{2})$

Factor $2$ out of $2 \cdot - 6 + 2 \cdot 1$ .

$(\frac{2 \cdot (- 6 + 1)}{2}, \frac{- 9 + 10}{2})$

Cancel the common factors.

Factor $2$ out of $2$ .

$(\frac{2 \cdot (- 6 + 1)}{2 (1)}, \frac{- 9 + 10}{2})$

Cancel the common factor.

$(\frac{2 \cdot (- 6 + 1)}{2 \cdot 1}, \frac{- 9 + 10}{2})$

Rewrite the expression.

$(\frac{- 6 + 1}{1}, \frac{- 9 + 10}{2})$

Divide $- 6 + 1$ by $1$ .

$(- 6 + 1, \frac{- 9 + 10}{2})$

Step 4

Add $- 6$ and $1$ .

$(- 5, \frac{- 9 + 10}{2})$

Step 5

Add $- 9$ and $10$ .

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

Step 6