Provide an appropriate response.
-Find the midpoint of the line segment whose endpoints are $\left( \frac { 1 } { 5 } , - \frac { 1 } { 3 } \right)$ and $\left( \frac { 2 } { 5 } , \frac { 1 } { 3 } \right)$.
A) $\left( - \frac { 3 } { 5 } , 0 \right)$
B) $\left( \frac { 3 } { 5 } , 0 \right)$
C) $\left( \frac { 3 } { 10 } , 0 \right)$
D) $\left( \frac { 3 } { 5 } , - \frac { 1 } { 6 } \right)$

Question

Quizplus · Accepted Answer

The midpoint of a line segment with endpoints $(x_1, y_1)$ and $(x_2, y_2)$ is given by the formula $\left( \frac { x_1 + x_2 } { 2 } , \frac { y_1 + y_2 } { 2 } \right)$.Using this formula, the midpoint of the line segment with endpoints $\left( \frac { 1 } { 5 } , - \frac { 1 } { 3 } \right)$ and $\left( \frac { 2 } { 5 } , \frac { 1 } { 3 } \right)$ is:$$\left( \frac { \frac { 1 } { 5 } + \frac { 2 } { 5 } } { 2 } , \frac { - \frac { 1 } { 3 } + \frac { 1 } { 3 } } { 2 } \right) = \left( \frac { 3 } { 5 } , 0 \right)$$Therefore, the correct answer is B.

Provide an Appropriate Response (15,−13)\left( \frac { 1 } { 5 } , - \frac { 1 } { 3 } \right)(51​,−31​)

Provide an Appropriate Response $\left( \frac { 1 } { 5 } , - \frac { 1 } { 3 } \right)$