Find the Midpoint (-3,8) , (3,-4)

$(- 3, 8)$ , $(3, - 4)$

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

$(\frac{- 3 + 3}{2}, \frac{8 - 4}{2})$

Step 3

Add $- 3$ and $3$ .

$(\frac{0}{2}, \frac{8 - 4}{2})$

Step 4

Divide $0$ by $2$ .

$(0, \frac{8 - 4}{2})$

Step 5

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

Factor $2$ out of $8$ .

$(0, \frac{2 \cdot 4 - 4}{2})$

Factor $2$ out of $- 4$ .

$(0, \frac{2 \cdot 4 + 2 \cdot - 2}{2})$

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

$(0, \frac{2 \cdot (4 - 2)}{2})$

Cancel the common factors.

Factor $2$ out of $2$ .

$(0, \frac{2 \cdot (4 - 2)}{2 (1)})$

Cancel the common factor.

$(0, \frac{2 \cdot (4 - 2)}{2 \cdot 1})$

Rewrite the expression.

$(0, \frac{4 - 2}{1})$

Divide $4 - 2$ by $1$ .

$(0, 4 - 2)$

Step 6

Subtract $2$ from $4$ .

$(0, 2)$

Step 7