For the points P and Q, find the coordinates of the midpoint of the segment PQ.
-$$\mathrm { P } ( 7 , - 9 ) , \mathrm { Q } ( 0,8 )$$
A) $( 7 , - 17 )$
B) $\left( \frac { 7 } { 2 } , - \frac { 17 } { 2 } \right)$
C) $\left( \frac { 7 } { 2 } , - \frac { 1 } { 2 } \right)$
D) $( 7 , - 1 )$

Question

Quizplus · Accepted Answer

The midpoint formula is $\left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)$. Applying this to points P(7, -9) and Q(0, 8) gives $\left( \frac{7 + 0}{2}, \frac{-9 + 8}{2} \right) = \left( \frac{7}{2}, -\frac{1}{2} \right)$.

For the Points P and Q, Find the Coordinates of the Midpoint