Find the Midpoint (1,-6) , (-3,4)

$(1, - 6)$ , $(- 3, 4)$

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

$(\frac{1 - 3}{2}, \frac{- 6 + 4}{2})$

Step 3

Subtract $3$ from $1$ .

$(\frac{- 2}{2}, \frac{- 6 + 4}{2})$

Step 4

Divide $- 2$ by $2$ .

$(- 1, \frac{- 6 + 4}{2})$

Step 5

Cancel the common factor of $- 6 + 4$ and $2$ .

Factor $2$ out of $- 6$ .

$(- 1, \frac{2 \cdot - 3 + 4}{2})$

Factor $2$ out of $4$ .

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

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

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

Cancel the common factors.

Factor $2$ out of $2$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Divide $- 3 + 2$ by $1$ .

$(- 1, - 3 + 2)$

Step 6

Add $- 3$ and $2$ .

$(- 1, - 1)$

Step 7