Find the Midpoint (8,2) and (1,10)

$(8, 2)$ and $(1, 10)$

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

$(\frac{8 + 1}{2}, \frac{2 + 10}{2})$

Step 3

Add $8$ and $1$ .

$(\frac{9}{2}, \frac{2 + 10}{2})$

Step 4

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

Factor $2$ out of $2$ .

$(\frac{9}{2}, \frac{2 \cdot 1 + 10}{2})$

Factor $2$ out of $10$ .

$(\frac{9}{2}, \frac{2 \cdot 1 + 2 \cdot 5}{2})$

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

$(\frac{9}{2}, \frac{2 \cdot (1 + 5)}{2})$

Cancel the common factors.

Factor $2$ out of $2$ .

$(\frac{9}{2}, \frac{2 \cdot (1 + 5)}{2 (1)})$

Cancel the common factor.

$(\frac{9}{2}, \frac{2 \cdot (1 + 5)}{2 \cdot 1})$

Rewrite the expression.

$(\frac{9}{2}, \frac{1 + 5}{1})$

Divide $1 + 5$ by $1$ .

$(\frac{9}{2}, 1 + 5)$

Step 5

Add $1$ and $5$ .

$(\frac{9}{2}, 6)$

Step 6