Find the Midpoint (1,-10) and (8,-4)

$(1, - 10)$ and $(8, - 4)$

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

$(\frac{1 + 8}{2}, \frac{- 10 - 4}{2})$

Step 3

Add $1$ and $8$ .

$(\frac{9}{2}, \frac{- 10 - 4}{2})$

Step 4

Cancel the common factor of $- 10 - 4$ and $2$ .

Factor $2$ out of $- 10$ .

$(\frac{9}{2}, \frac{2 \cdot - 5 - 4}{2})$

Factor $2$ out of $- 4$ .

$(\frac{9}{2}, \frac{2 \cdot - 5 + 2 \cdot - 2}{2})$

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

$(\frac{9}{2}, \frac{2 \cdot (- 5 - 2)}{2})$

Cancel the common factors.

Factor $2$ out of $2$ .

$(\frac{9}{2}, \frac{2 \cdot (- 5 - 2)}{2 (1)})$

Cancel the common factor.

$(\frac{9}{2}, \frac{2 \cdot (- 5 - 2)}{2 \cdot 1})$

Rewrite the expression.

$(\frac{9}{2}, \frac{- 5 - 2}{1})$

Divide $- 5 - 2$ by $1$ .

$(\frac{9}{2}, - 5 - 2)$

Step 5

Subtract $2$ from $- 5$ .

$(\frac{9}{2}, - 7)$

Step 6