Find the Midpoint (-5/3,2/3) , (-7/3,-8/3)

$(- \frac{5}{3}, \frac{2}{3})$ , $(- \frac{7}{3}, - \frac{8}{3})$

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

$(\frac{- \frac{5}{3} - \frac{7}{3}}{2}, \frac{\frac{2}{3} - \frac{8}{3}}{2})$

Step 3

Simplify the numerator.

Combine the numerators over the common denominator.

$(\frac{\frac{- 5 - 7}{3}}{2}, \frac{\frac{2}{3} - \frac{8}{3}}{2})$

Subtract $7$ from $- 5$ .

$(\frac{\frac{- 12}{3}}{2}, \frac{\frac{2}{3} - \frac{8}{3}}{2})$

Divide $- 12$ by $3$ .

$(\frac{- 4}{2}, \frac{\frac{2}{3} - \frac{8}{3}}{2})$

Step 4

Divide $- 4$ by $2$ .

$(- 2, \frac{\frac{2}{3} - \frac{8}{3}}{2})$

Step 5

Simplify the numerator.

Combine the numerators over the common denominator.

$(- 2, \frac{\frac{2 - 8}{3}}{2})$

Subtract $8$ from $2$ .

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

Divide $- 6$ by $3$ .

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

Step 6

Divide $- 2$ by $2$ .

$(- 2, - 1)$

Step 7