Find the Midpoint (8,10) , (6,2)

$(8, 10)$ , $(6, 2)$

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

$(\frac{8 + 6}{2}, \frac{10 + 2}{2})$

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

Factor $2$ out of $8$ .

$(\frac{2 \cdot 4 + 6}{2}, \frac{10 + 2}{2})$

Factor $2$ out of $6$ .

$(\frac{2 \cdot 4 + 2 \cdot 3}{2}, \frac{10 + 2}{2})$

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

$(\frac{2 \cdot (4 + 3)}{2}, \frac{10 + 2}{2})$

Cancel the common factors.

Factor $2$ out of $2$ .

$(\frac{2 \cdot (4 + 3)}{2 (1)}, \frac{10 + 2}{2})$

Cancel the common factor.

$(\frac{2 \cdot (4 + 3)}{2 \cdot 1}, \frac{10 + 2}{2})$

Rewrite the expression.

$(\frac{4 + 3}{1}, \frac{10 + 2}{2})$

Divide $4 + 3$ by $1$ .

$(4 + 3, \frac{10 + 2}{2})$

Add $4$ and $3$ .

$(7, \frac{10 + 2}{2})$

Cancel the common factor of $10 + 2$ and $2$ .

Factor $2$ out of $10$ .

$(7, \frac{2 \cdot 5 + 2}{2})$

Factor $2$ out of $2$ .

$(7, \frac{2 \cdot 5 + 2 \cdot 1}{2})$

Factor $2$ out of $2 \cdot 5 + 2 \cdot 1$ .

$(7, \frac{2 \cdot (5 + 1)}{2})$

Cancel the common factors.

Factor $2$ out of $2$ .

$(7, \frac{2 \cdot (5 + 1)}{2 (1)})$

Cancel the common factor.

$(7, \frac{2 \cdot (5 + 1)}{2 \cdot 1})$

Rewrite the expression.

$(7, \frac{5 + 1}{1})$

Divide $5 + 1$ by $1$ .

$(7, 5 + 1)$

Add $5$ and $1$ .

$(7, 6)$