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

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

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

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

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

Factor $2$ out of $4$ .

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

Factor $2$ out of $- 4$ .

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

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

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

Cancel the common factors.

Factor $2$ out of $2$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Divide $2 - 2$ by $1$ .

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

Subtract $2$ from $2$ .

$(0, \frac{9 + 2}{2})$

Add $9$ and $2$ .

$(0, \frac{11}{2})$