Find the midpoint of the line segment joining the points.
$$( - 3,7 , - 8 ) , ( 8,2,5 )$$
A) $\left( \frac { - 11 } { 2 } , \frac { 5 } { 2 } , \frac { - 13 } { 2 } \right)$
B) $\left( \frac { 5 } { 2 } , \frac { 9 } { 2 } , \frac { - 3 } { 2 } \right)$
C) $( 5,9 , - 3 )$
D) $( - 11,5 , - 13 )$
E) $( - 24,14 , - 40 )$

Question

Quizplus · Accepted Answer

The midpoint of a line segment with endpoints $(x_1, y_1, z_1)$ and $(x_2, y_2, z_2)$ is $\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2},\frac{z_1+z_2}{2}ight)$. Applying this formula gives us $\left(\frac{-3+8}{2},\frac{7+2}{2},\frac{-8+5}{2}ight)=\left(\frac{5}{2},\frac{9}{2},\frac{-3}{2}ight)$, so our answer is $\boxed{	ext{B}}$.

Find the Midpoint of the Line Segment Joining the Points (−3,7,−8),(8,2,5)( - 3,7 , - 8 ) , ( 8,2,5 )(−3,7,−8),(8,2,5)

Find the Midpoint of the Line Segment Joining the Points $( - 3,7 , - 8 ) , ( 8,2,5 )$