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 between two points $(x_1, y_1, z_1)$ and $(x_2, y_2, z_2)$ is given by $\left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}, \frac{z_1 + z_2}{2} \right)$. For the points $(-3, 7, -8)$ and $(8, 2, 5)$, the midpoint is $\left( \frac{-3 + 8}{2}, \frac{7 + 2}{2}, \frac{-8 + 5}{2} \right) = \left( \frac{5}{2}, \frac{9}{2}, \frac{-3}{2} \right)$.

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 $( - 3,7 , - 8 ) , ( 8,2,5 )$