Find the Midpoint (-4,9) , (-2,6)

$(- 4, 9)$ , $(- 2, 6)$

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

$(\frac{- 4 - 2}{2}, \frac{9 + 6}{2})$

Step 3

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

Factor $2$ out of $- 4$ .

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

Factor $2$ out of $- 2$ .

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

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

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

Cancel the common factors.

Factor $2$ out of $2$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Step 4

Subtract $1$ from $- 2$ .

$(- 3, \frac{9 + 6}{2})$

Step 5

Add $9$ and $6$ .

$(- 3, \frac{15}{2})$

Step 6