Find the Midpoint (-4,2) , (8,5)

$(- 4, 2)$ , $(8, 5)$

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

$(\frac{- 4 + 8}{2}, \frac{2 + 5}{2})$

Step 3

Cancel the common factor of $- 4 + 8$ and $2$ .

Factor $2$ out of $- 4$ .

$(\frac{2 \cdot - 2 + 8}{2}, \frac{2 + 5}{2})$

Factor $2$ out of $8$ .

$(\frac{2 \cdot - 2 + 2 \cdot 4}{2}, \frac{2 + 5}{2})$

Factor $2$ out of $2 \cdot - 2 + 2 \cdot 4$ .

$(\frac{2 \cdot (- 2 + 4)}{2}, \frac{2 + 5}{2})$

Cancel the common factors.

Factor $2$ out of $2$ .

$(\frac{2 \cdot (- 2 + 4)}{2 (1)}, \frac{2 + 5}{2})$

Cancel the common factor.

$(\frac{2 \cdot (- 2 + 4)}{2 \cdot 1}, \frac{2 + 5}{2})$

Rewrite the expression.

$(\frac{- 2 + 4}{1}, \frac{2 + 5}{2})$

Divide $- 2 + 4$ by $1$ .

$(- 2 + 4, \frac{2 + 5}{2})$

Step 4

Add $- 2$ and $4$ .

$(2, \frac{2 + 5}{2})$

Step 5

Add $2$ and $5$ .

$(2, \frac{7}{2})$

Step 6