Find the Midpoint (10,-1) , (-6,3)

$(10, - 1)$ , $(- 6, 3)$

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

$(\frac{10 - 6}{2}, \frac{- 1 + 3}{2})$

Step 3

Cancel the common factor of $10 - 6$ and $2$ .

Factor $2$ out of $10$ .

$(\frac{2 \cdot 5 - 6}{2}, \frac{- 1 + 3}{2})$

Factor $2$ out of $- 6$ .

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

Factor $2$ out of $2 \cdot 5 + 2 \cdot - 3$ .

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

Cancel the common factors.

Factor $2$ out of $2$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Divide $5 - 3$ by $1$ .

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

Step 4

Subtract $3$ from $5$ .

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

Step 5

Add $- 1$ and $3$ .

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

Step 6

Divide $2$ by $2$ .

$(2, 1)$

Step 7