Find the midpoint of the line segment whose endpoints are the given points.
-$( \sqrt { 7 } , - \sqrt { 3 } )$ and $( 6 \sqrt { 7 } , - 5 \sqrt { 3 } )$
A) $\left( \frac { 5 \sqrt { 7 } } { 2 } , - 2 \sqrt { 3 } \right)$
B) $\left( \frac { 7 \sqrt { 7 } } { 2 } , - 3 \sqrt { 3 } \right)$
C) $( 5 \sqrt { 7 } , - 4 \sqrt { 3 } )$
D) $( 7 \sqrt { 7 } , - 6 \sqrt { 3 } )$

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 $( \sqrt { 7 } , - \sqrt { 3 } )$ and $( 6 \sqrt { 7 } , - 5 \sqrt { 3 } )$, the midpoint is $\left( \frac{ \sqrt { 7 } + 6 \sqrt { 7 } }{2}, \frac{ - \sqrt { 3 } - 5 \sqrt { 3 } }{2} \right) = \left( \frac{ 7 \sqrt { 7 } }{2}, - 3 \sqrt { 3 } \right)$.

Find the Midpoint of the Line Segment Whose Endpoints Are (7,−3)( \sqrt { 7 } , - \sqrt { 3 } )(7​,−3​)

Find the Midpoint of the Line Segment Whose Endpoints Are $( \sqrt { 7 } , - \sqrt { 3 } )$