Find the midpoint of the line segment joining the given points.
$( 4 , - 2 , - 3 )$ and $( 6 , - 4 , - 1 )$
A) $( 5 , - 3 , - 2 )$
B) $( - 1,1 , - 1 )$
C) $( - 1 , - 3 , - 1 )$
D) $( - 1,1 , - 2 )$

Question

Quizplus · Accepted Answer

To find the midpoint of a line segment, we need to average the corresponding coordinates of the two endpoints.

Midpoint = $ \left(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2},\frac{z_1 + z_2}{2}\right) $

Using this formula, we get:

Midpoint = $ \left(\frac{4 + 6}{2},\frac{-2 + (-4)}{2},\frac{-3 + (-1)}{2}\right) $ = $ (5,-3,-2) $

Therefore, the answer is choice A).

Find the Midpoint of the Line Segment Joining the Given (4,−2,−3)( 4 , - 2 , - 3 )(4,−2,−3)

Find the Midpoint of the Line Segment Joining the Given $( 4 , - 2 , - 3 )$