Find the Midpoint (-4,2) , (2,-2)

$(- 4, 2)$ , $(2, - 2)$

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

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

Step 3

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

Factor $2$ out of $- 4$ .

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

Factor $2$ out of $2$ .

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

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

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

Cancel the common factors.

Factor $2$ out of $2$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Step 4

Add $- 2$ and $1$ .

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

Step 5

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

Factor $2$ out of $2$ .

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

Factor $2$ out of $- 2$ .

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

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

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

Cancel the common factors.

Factor $2$ out of $2$ .

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

Cancel the common factor.

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

Rewrite the expression.

$(- 1, \frac{1 - 1}{1})$

Divide $1 - 1$ by $1$ .

$(- 1, 1 - 1)$

Step 6

Subtract $1$ from $1$ .

$(- 1, 0)$

Step 7

Find the Midpoint (-4,2) , (2,-2)

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