Find the Midpoint (2,5) , (8,11)

$(2, 5)$ , $(8, 11)$

Use the midpoint formula to find the midpoint of the line segment.

$(\frac{x_{1} + x_{2}}{2}, \frac{y_{1} + y_{2}}{2})$

Substitute in the values for $(x_{1}, y_{1})$ and $(x_{2}, y_{2})$ .

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

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

Factor $2$ out of $2$ .

$(\frac{2 \cdot 1 + 8}{2}, \frac{5 + 11}{2})$

Factor $2$ out of $8$ .

$(\frac{2 \cdot 1 + 2 \cdot 4}{2}, \frac{5 + 11}{2})$

Factor $2$ out of $2 \cdot 1 + 2 \cdot 4$ .

$(\frac{2 \cdot (1 + 4)}{2}, \frac{5 + 11}{2})$

Cancel the common factors.

Factor $2$ out of $2$ .

$(\frac{2 \cdot (1 + 4)}{2 (1)}, \frac{5 + 11}{2})$

Cancel the common factor.

$(\frac{2 \cdot (1 + 4)}{2 \cdot 1}, \frac{5 + 11}{2})$

Rewrite the expression.

$(\frac{1 + 4}{1}, \frac{5 + 11}{2})$

Divide $1 + 4$ by $1$ .

$(1 + 4, \frac{5 + 11}{2})$

Add $1$ and $4$ .

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

Add $5$ and $11$ .

$(5, \frac{16}{2})$

Divide $16$ by $2$ .

$(5, 8)$