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

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

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

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

Step 3

Subtract $9$ from $- 2$ .

$(\frac{- 11}{2}, \frac{4 + 2}{2})$

Step 4

Move the negative in front of the fraction.

$(- \frac{11}{2}, \frac{4 + 2}{2})$

Step 5

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

Factor $2$ out of $4$ .

$(- \frac{11}{2}, \frac{2 \cdot 2 + 2}{2})$

Factor $2$ out of $2$ .

$(- \frac{11}{2}, \frac{2 \cdot 2 + 2 \cdot 1}{2})$

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

$(- \frac{11}{2}, \frac{2 \cdot (2 + 1)}{2})$

Cancel the common factors.

Factor $2$ out of $2$ .

$(- \frac{11}{2}, \frac{2 \cdot (2 + 1)}{2 (1)})$

Cancel the common factor.

$(- \frac{11}{2}, \frac{2 \cdot (2 + 1)}{2 \cdot 1})$

Rewrite the expression.

$(- \frac{11}{2}, \frac{2 + 1}{1})$

Divide $2 + 1$ by $1$ .

$(- \frac{11}{2}, 2 + 1)$

Step 6

Add $2$ and $1$ .

$(- \frac{11}{2}, 3)$

Step 7