Find the midpoint of the segment PQ.
-$$\mathrm { P } ( 8 , - 7 , - 4 ) , \mathrm { Q } ( 9 , - 6 , - 5 )$$
A) $\left( 4 , - \frac { 7 } { 2 } , - 2 \right)$
B) $\left( \frac { 17 } { 2 } , - 7 , - 5 \right)$
C) $\left( \frac { 9 } { 2 } , - 3 , - \frac { 5 } { 2 } \right)$
D) $\left( \frac { 17 } { 2 } , - \frac { 13 } { 2 } , - \frac { 9 } { 2 } \right)$

Question

Quizplus · Accepted Answer

The midpoint formula in three dimensions is $\left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}, \frac{z_1 + z_2}{2} \right)$. Applying this to points P(8, -7, -4) and Q(9, -6, -5) gives $\left( \frac{8 + 9}{2}, \frac{-7 + (-6)}{2}, \frac{-4 + (-5)}{2} \right) = \left( \frac{17}{2}, -\frac{13}{2}, -\frac{9}{2} \right)$.

Find the Midpoint of the Segment PQ P(8,−7,−4),Q(9,−6,−5)\mathrm { P } ( 8 , - 7 , - 4 ) , \mathrm { Q } ( 9 , - 6 , - 5 )P(8,−7,−4),Q(9,−6,−5)

Find the Midpoint of the Segment PQ $\mathrm { P } ( 8 , - 7 , - 4 ) , \mathrm { Q } ( 9 , - 6 , - 5 )$