Find the Midpoint (-2,3) , (10,2)

$(- 2, 3)$ , $(10, 2)$

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

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

Step 3

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

Factor $2$ out of $- 2$ .

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

Factor $2$ out of $10$ .

$(\frac{2 \cdot - 1 + 2 \cdot 5}{2}, \frac{3 + 2}{2})$

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

$(\frac{2 \cdot (- 1 + 5)}{2}, \frac{3 + 2}{2})$

Cancel the common factors.

Factor $2$ out of $2$ .

$(\frac{2 \cdot (- 1 + 5)}{2 (1)}, \frac{3 + 2}{2})$

Cancel the common factor.

$(\frac{2 \cdot (- 1 + 5)}{2 \cdot 1}, \frac{3 + 2}{2})$

Rewrite the expression.

$(\frac{- 1 + 5}{1}, \frac{3 + 2}{2})$

Divide $- 1 + 5$ by $1$ .

$(- 1 + 5, \frac{3 + 2}{2})$

Step 4

Add $- 1$ and $5$ .

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

Step 5

Add $3$ and $2$ .

$(4, \frac{5}{2})$

Step 6