Find the Midpoint (5,8) , (11,6)

$(5, 8)$ , $(11, 6)$

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

$(\frac{5 + 11}{2}, \frac{8 + 6}{2})$

Step 3

Add $5$ and $11$ .

$(\frac{16}{2}, \frac{8 + 6}{2})$

Step 4

Divide $16$ by $2$ .

$(8, \frac{8 + 6}{2})$

Step 5

Cancel the common factor of $8 + 6$ and $2$ .

Factor $2$ out of $8$ .

$(8, \frac{2 \cdot 4 + 6}{2})$

Factor $2$ out of $6$ .

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

Factor $2$ out of $2 \cdot 4 + 2 \cdot 3$ .

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

Cancel the common factors.

Factor $2$ out of $2$ .

$(8, \frac{2 \cdot (4 + 3)}{2 (1)})$

Cancel the common factor.

$(8, \frac{2 \cdot (4 + 3)}{2 \cdot 1})$

Rewrite the expression.

$(8, \frac{4 + 3}{1})$

Divide $4 + 3$ by $1$ .

$(8, 4 + 3)$

Step 6

Add $4$ and $3$ .

$(8, 7)$

Step 7