Find the midpoint of the line segment joining the points P1 and P2.
-$$P _ { 1 } = ( 7,1 ) ; P _ { 2 } = ( - 16 , - 16 )$$
A) $( - 9 , - 15 )$
B) $( 9,15 )$
C) $\left( - \frac { 9 } { 2 } , - \frac { 15 } { 2 } \right)$
D) $\left( \frac { 23 } { 2 } , \frac { 17 } { 2 } \right)$

Question

Quizplus · Accepted Answer

The midpoint of a line segment with endpoints $(x_1, y_1)$ and $(x_2, y_2)$ is given by $\left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)$. For $P_1 = (7, 1)$ and $P_2 = (-16, -16)$, the midpoint is $\left( \frac{7 - 16}{2}, \frac{1 - 16}{2} \right) = \left( -\frac{9}{2}, -\frac{15}{2} \right)$.

Find the Midpoint of the Line Segment Joining the Points P1=(7,1);P2=(−16,−16)P _ { 1 } = ( 7,1 ) ; P _ { 2 } = ( - 16 , - 16 )P1​=(7,1);P2​=(−16,−16)

Find the Midpoint of the Line Segment Joining the Points $P _ { 1 } = ( 7,1 ) ; P _ { 2 } = ( - 16 , - 16 )$