Find the Midpoint (8,-3) , (-8,2)

$(8, - 3)$ , $(- 8, 2)$

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

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

Step 3

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

Factor $2$ out of $8$ .

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

Factor $2$ out of $- 8$ .

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

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

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

Cancel the common factors.

Factor $2$ out of $2$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Divide $4 - 4$ by $1$ .

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

Step 4

Subtract $4$ from $4$ .

$(0, \frac{- 3 + 2}{2})$

Step 5

Add $- 3$ and $2$ .

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

Step 6

Move the negative in front of the fraction.

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

Step 7