Find the Midpoint (6,1) and (2,10)

$(6, 1)$ and $(2, 10)$

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

$(\frac{6 + 2}{2}, \frac{1 + 10}{2})$

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

Factor $2$ out of $6$ .

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

Factor $2$ out of $2$ .

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

Factor $2$ out of $2 \cdot 3 + 2 \cdot 1$ .

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

Cancel the common factors.

Factor $2$ out of $2$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Divide $3 + 1$ by $1$ .

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

Add $3$ and $1$ .

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

Add $1$ and $10$ .

$(4, \frac{11}{2})$