Find the Midpoint (1,2) , (7,8)

$(1, 2)$ , $(7, 8)$

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

$(\frac{1 + 7}{2}, \frac{2 + 8}{2})$

Add $1$ and $7$ .

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

Divide $8$ by $2$ .

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

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

Factor $2$ out of $2$ .

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

Factor $2$ out of $8$ .

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

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

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

Cancel the common factors.

Factor $2$ out of $2$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Divide $1 + 4$ by $1$ .

$(4, 1 + 4)$

Add $1$ and $4$ .

$(4, 5)$