Solve the problem.
-Find the midpoint of the line segment whose endpoints are $\left( \frac { 2 } { 3 } , - 1 \right) , \left( \frac { 8 } { 3 } , \frac { 4 } { 5 } \right)$.
A) $\left( \frac { 5 } { 3 } , - \frac { 1 } { 10 } \right)$
B) $\left( - 1 , - \frac { 9 } { 10 } \right)$
C) $\left( 1 , \frac { 9 } { 10 } \right)$
D) $\left( \frac { 10 } { 3 } , - \frac { 1 } { 5 } \right)$

Question

Quizplus · Accepted Answer

The midpoint of a line segment with endpoints $(x_1, y_1)$ and $(x_2, y_2)$ is given by $\left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)$. For the given points $\left( \frac{2}{3}, -1 \right)$ and $\left( \frac{8}{3}, \frac{4}{5} \right)$, the midpoint is $\left( \frac{\frac{2}{3} + \frac{8}{3}}{2}, \frac{-1 + \frac{4}{5}}{2} \right) = \left( \frac{5}{3}, -\frac{1}{10} \right)$.

Solve the Problem (23,−1),(83,45)\left( \frac { 2 } { 3 } , - 1 \right) , \left( \frac { 8 } { 3 } , \frac { 4 } { 5 } \right)(32​,−1),(38​,54​)

Solve the Problem $\left( \frac { 2 } { 3 } , - 1 \right) , \left( \frac { 8 } { 3 } , \frac { 4 } { 5 } \right)$