Find the midpoint of the line segment whose endpoints are given.
-$$( - 9 \sqrt { 6 } , 8 \sqrt { 6 } ) , ( - 4 \sqrt { 6 } , 11 \sqrt { 6 } )$$
A) $\left( \frac { - 5 \sqrt { 6 } } { 2 } , \frac { - 3 \sqrt { 6 } } { 2 } \right)$
B) $\left( \frac { - 13 \sqrt { 6 } } { 2 } , \frac { 19 \sqrt { 6 } } { 2 } \right)$
C) $( - 13 \sqrt { 6 } , 19 \sqrt { 6 } )$
D) $\left( \frac { 5 \sqrt { 6 } } { 2 } , \frac { 3 \sqrt { 6 } } { 2 } \right)$

Question

Quizplus · Accepted Answer

The midpoint of a line segment with endpoints $(x_1, y_1)$ and $(x_2, y_2)$ is given by $\left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)$. Applying this formula to the given endpoints $(-9\sqrt{6}, 8\sqrt{6})$ and $(-4\sqrt{6}, 11\sqrt{6})$, we get the midpoint as $\left( \frac{-9\sqrt{6} - 4\sqrt{6}}{2}, \frac{8\sqrt{6} + 11\sqrt{6}}{2} \right) = \left( \frac{-13\sqrt{6}}{2}, \frac{19\sqrt{6}}{2} \right)$.

Find the Midpoint of the Line Segment Whose Endpoints Are (−96,86),(−46,116)( - 9 \sqrt { 6 } , 8 \sqrt { 6 } ) , ( - 4 \sqrt { 6 } , 11 \sqrt { 6 } )(−96​,86​),(−46​,116​)

Find the Midpoint of the Line Segment Whose Endpoints Are $( - 9 \sqrt { 6 } , 8 \sqrt { 6 } ) , ( - 4 \sqrt { 6 } , 11 \sqrt { 6 } )$