Find the Midpoint (-4,2) , (1,-4)

$(- 4, 2)$ , $(1, - 4)$

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

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

Add $- 4$ and $1$ .

$(\frac{- 3}{2}, \frac{2 - 4}{2})$

Move the negative in front of the fraction.

$(- \frac{3}{2}, \frac{2 - 4}{2})$

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

Factor $2$ out of $2$ .

$(- \frac{3}{2}, \frac{2 \cdot 1 - 4}{2})$

Factor $2$ out of $- 4$ .

$(- \frac{3}{2}, \frac{2 \cdot 1 + 2 \cdot - 2}{2})$

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

$(- \frac{3}{2}, \frac{2 \cdot (1 - 2)}{2})$

Cancel the common factors.

Factor $2$ out of $2$ .

$(- \frac{3}{2}, \frac{2 \cdot (1 - 2)}{2 (1)})$

Cancel the common factor.

$(- \frac{3}{2}, \frac{2 \cdot (1 - 2)}{2 \cdot 1})$

Rewrite the expression.

$(- \frac{3}{2}, \frac{1 - 2}{1})$

Divide $1 - 2$ by $1$ .

$(- \frac{3}{2}, 1 - 2)$

Subtract $2$ from $1$ .

$(- \frac{3}{2}, - 1)$