Find the Midpoint (-8,-2) , (4,-4)

$(- 8, - 2)$ , $(4, - 4)$

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

$(\frac{- 8 + 4}{2}, \frac{- 2 - 4}{2})$

Step 3

Cancel the common factor of $- 8 + 4$ and $2$ .

Factor $2$ out of $- 8$ .

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

Factor $2$ out of $4$ .

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

Factor $2$ out of $2 \cdot - 4 + 2 \cdot 2$ .

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

Cancel the common factors.

Factor $2$ out of $2$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Divide $- 4 + 2$ by $1$ .

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

Step 4

Add $- 4$ and $2$ .

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

Step 5

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

Factor $2$ out of $- 2$ .

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

Factor $2$ out of $- 4$ .

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

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

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

Cancel the common factors.

Factor $2$ out of $2$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

$(- 2, - 1 - 2)$

Step 6

Subtract $2$ from $- 1$ .

$(- 2, - 3)$

Step 7

Find the Midpoint (-8,-2) , (4,-4)

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