Find the Midpoint (-4,9) , (1,31)

$(- 4, 9)$ , $(1, 31)$

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

$(\frac{- 4 + 1}{2}, \frac{9 + 31}{2})$

Add $- 4$ and $1$ .

$(\frac{- 3}{2}, \frac{9 + 31}{2})$

Move the negative in front of the fraction.

$(- \frac{3}{2}, \frac{9 + 31}{2})$

Add $9$ and $31$ .

$(- \frac{3}{2}, \frac{40}{2})$

Divide $40$ by $2$ .

$(- \frac{3}{2}, 20)$