For the points P and Q, find the coordinates of the midpoint of the segment PQ.
-$$\mathrm { P } ( 5,1 ) , \mathrm { Q } ( 4,8 )$$
A) $( 9,9 )$
B) $\left( \frac { 1 } { 2 } , - \frac { 7 } { 2 } \right)$
C) $( 1 , - 7 )$
D) $\left( \frac { 9 } { 2 } , \frac { 9 } { 2 } \right)$

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(5,1) and Q(4,8) gives $\left( \frac{5 + 4}{2}, \frac{1 + 8}{2} \right) = \left( \frac{9}{2}, \frac{9}{2} \right)$.

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