Find the Midpoint (-8,-6) and (2,-10)

$(- 8, - 6)$ and $(2, - 10)$

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

$(\frac{- 8 + 2}{2}, \frac{- 6 - 10}{2})$

Step 3

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

Factor $2$ out of $- 8$ .

$(\frac{2 \cdot - 4 + 2}{2}, \frac{- 6 - 10}{2})$

Factor $2$ out of $2$ .

$(\frac{2 \cdot - 4 + 2 \cdot 1}{2}, \frac{- 6 - 10}{2})$

Factor $2$ out of $2 \cdot - 4 + 2 \cdot 1$ .

$(\frac{2 \cdot (- 4 + 1)}{2}, \frac{- 6 - 10}{2})$

Cancel the common factors.

Factor $2$ out of $2$ .

$(\frac{2 \cdot (- 4 + 1)}{2 (1)}, \frac{- 6 - 10}{2})$

Cancel the common factor.

$(\frac{2 \cdot (- 4 + 1)}{2 \cdot 1}, \frac{- 6 - 10}{2})$

Rewrite the expression.

$(\frac{- 4 + 1}{1}, \frac{- 6 - 10}{2})$

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

$(- 4 + 1, \frac{- 6 - 10}{2})$

Step 4

Add $- 4$ and $1$ .

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

Step 5

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

Factor $2$ out of $- 6$ .

$(- 3, \frac{2 \cdot - 3 - 10}{2})$

Factor $2$ out of $- 10$ .

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

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

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

Cancel the common factors.

Factor $2$ out of $2$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Divide $- 3 - 5$ by $1$ .

$(- 3, - 3 - 5)$

Step 6

Subtract $5$ from $- 3$ .

$(- 3, - 8)$

Step 7

Find the Midpoint (-8,-6) and (2,-10)

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