Find the midpoint of the line segment joining the points. $( - 1,3,8 ) , ( 9 , - 4,3 )$
A)(4, $- \frac { 1 } { 2 }$ , $\frac { 11 } { 2 }$ )
B)( $- \frac { 1 } { 2 }$ , $\frac { 11 } { 2 }$ ,4)
C)( $\frac { 11 } { 2 }$ , $- \frac { 1 } { 2 }$ ,4)
D)( $- \frac { 1 } { 2 }$ ,4,- $\frac { 11 } { 2 }$ )
E)( $\frac { 11 } { 2 }$ ,4, $- \frac { 1 } { 2 }$ )

Question

Find the midpoint of the line segment joining the points.  $( - 1,3,8 ) , ( 9 , - 4,3 )$ 
A)(4, $- \frac { 1 } { 2 }$ , $\frac { 11 } { 2 }$ )
B)( $- \frac { 1 } { 2 }$ , $\frac { 11 } { 2 }$ ,4)
C)( $\frac { 11 } { 2 }$ , $- \frac { 1 } { 2 }$ ,4)
D)( $- \frac { 1 } { 2 }$ ,4,- $\frac { 11 } { 2 }$ )
E)( $\frac { 11 } { 2 }$ ,4, $- \frac { 1 } { 2 }$ )

Quizplus · Accepted Answer

The midpoint of a line segment in 3D space is found by averaging the x, y, and z coordinates of the endpoints. Thus, the midpoint is $\left( \frac{-1 + 9}{2}, \frac{3 + (-4)}{2}, \frac{8 + 3}{2} \right) = \left( 4, -\frac{1}{2}, \frac{11}{2} \right)$.

Find the Midpoint of the Line Segment Joining the Points (−1,3,8),(9,−4,3)( - 1,3,8 ) , ( 9 , - 4,3 )(−1,3,8),(9,−4,3)

Find the Midpoint of the Line Segment Joining the Points $( - 1,3,8 ) , ( 9 , - 4,3 )$