Find the Midpoint (-1,0) , (1,2)

$(- 1, 0)$ , $(1, 2)$

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

$(\frac{- 1 + 1}{2}, \frac{0 + 2}{2})$

Step 3

Add $- 1$ and $1$ .

$(\frac{0}{2}, \frac{0 + 2}{2})$

Step 4

Divide $0$ by $2$ .

$(0, \frac{0 + 2}{2})$

Step 5

Cancel the common factor of $0 + 2$ and $2$ .

Factor $2$ out of $0$ .

$(0, \frac{2 \cdot 0 + 2}{2})$

Factor $2$ out of $2$ .

$(0, \frac{2 \cdot 0 + 2 \cdot 1}{2})$

Factor $2$ out of $2 \cdot 0 + 2 \cdot 1$ .

$(0, \frac{2 \cdot (0 + 1)}{2})$

Cancel the common factors.

Factor $2$ out of $2$ .

$(0, \frac{2 \cdot (0 + 1)}{2 (1)})$

Cancel the common factor.

$(0, \frac{2 \cdot (0 + 1)}{2 \cdot 1})$

Rewrite the expression.

$(0, \frac{0 + 1}{1})$

Divide $0 + 1$ by $1$ .

$(0, 0 + 1)$

Step 6

Add $0$ and $1$ .

$(0, 1)$

Step 7