Find the Midpoint (-6,-9) , (16,5)

$(- 6, - 9)$ , $(16, 5)$

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

$(\frac{- 6 + 16}{2}, \frac{- 9 + 5}{2})$

Step 3

Cancel the common factor of $- 6 + 16$ and $2$ .

Factor $2$ out of $- 6$ .

$(\frac{2 \cdot - 3 + 16}{2}, \frac{- 9 + 5}{2})$

Factor $2$ out of $16$ .

$(\frac{2 \cdot - 3 + 2 \cdot 8}{2}, \frac{- 9 + 5}{2})$

Factor $2$ out of $2 \cdot - 3 + 2 \cdot 8$ .

$(\frac{2 \cdot (- 3 + 8)}{2}, \frac{- 9 + 5}{2})$

Cancel the common factors.

Factor $2$ out of $2$ .

$(\frac{2 \cdot (- 3 + 8)}{2 (1)}, \frac{- 9 + 5}{2})$

Cancel the common factor.

$(\frac{2 \cdot (- 3 + 8)}{2 \cdot 1}, \frac{- 9 + 5}{2})$

Rewrite the expression.

$(\frac{- 3 + 8}{1}, \frac{- 9 + 5}{2})$

Divide $- 3 + 8$ by $1$ .

$(- 3 + 8, \frac{- 9 + 5}{2})$

Step 4

Add $- 3$ and $8$ .

$(5, \frac{- 9 + 5}{2})$

Step 5

Add $- 9$ and $5$ .

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

Step 6

Divide $- 4$ by $2$ .

$(5, - 2)$

Step 7