Find the Midpoint (16,5) , (28,-13)

$(16, 5)$ , $(28, - 13)$

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

$(\frac{16 + 28}{2}, \frac{5 - 13}{2})$

Step 3

Cancel the common factor of $16 + 28$ and $2$ .

Factor $2$ out of $16$ .

$(\frac{2 \cdot 8 + 28}{2}, \frac{5 - 13}{2})$

Factor $2$ out of $28$ .

$(\frac{2 \cdot 8 + 2 \cdot 14}{2}, \frac{5 - 13}{2})$

Factor $2$ out of $2 \cdot 8 + 2 \cdot 14$ .

$(\frac{2 \cdot (8 + 14)}{2}, \frac{5 - 13}{2})$

Cancel the common factors.

Factor $2$ out of $2$ .

$(\frac{2 \cdot (8 + 14)}{2 (1)}, \frac{5 - 13}{2})$

Cancel the common factor.

$(\frac{2 \cdot (8 + 14)}{2 \cdot 1}, \frac{5 - 13}{2})$

Rewrite the expression.

$(\frac{8 + 14}{1}, \frac{5 - 13}{2})$

Divide $8 + 14$ by $1$ .

$(8 + 14, \frac{5 - 13}{2})$

Step 4

Add $8$ and $14$ .

$(22, \frac{5 - 13}{2})$

Step 5

Subtract $13$ from $5$ .

$(22, \frac{- 8}{2})$

Step 6

Divide $- 8$ by $2$ .

$(22, - 4)$

Step 7