Find the midpoint of the line segment joining the points.
$$( - 5,8,9 ) , ( - 8,9,2 )$$
A) $\left( \frac { 3 } { 2 } , \frac { - 1 } { 2 } , \frac { 7 } { 2 } \right)$
B) $\left( \frac { - 13 } { 2 } , \frac { 17 } { 2 } , \frac { 11 } { 2 } \right)$
C) $( - 13,17,11 )$
D) $( 3 , - 1,7 )$
E) $( 40,72,18 )$

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 given by $\left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}, \frac{z_1 + z_2}{2} \right)$. Applying this formula to the given points $(-5, 8, 9)$ and $(-8, 9, 2)$ results in $\left( \frac{-5 - 8}{2}, \frac{8 + 9}{2}, \frac{9 + 2}{2} \right) = \left( \frac{-13}{2}, \frac{17}{2}, \frac{11}{2} \right)$.

Find the Midpoint of the Line Segment Joining the Points (−5,8,9),(−8,9,2)( - 5,8,9 ) , ( - 8,9,2 )(−5,8,9),(−8,9,2)

Find the Midpoint of the Line Segment Joining the Points $( - 5,8,9 ) , ( - 8,9,2 )$