Find the midpoint of line segment PQ . $P ( - 4 , - 2 ) , Q ( 3,6 )$
A) $\left( \frac { 1 } { 2 } , - 2 \right)$
B) $\left( \frac { 1 } { 3 } , 2 \right)$
C) $\left( 2 , - \frac { 1 } { 2 } \right)$
D) (-4,2)
E) $\left( - \frac { 1 } { 2 } , 2 \right)$

Question

Find the midpoint of line segment PQ . $P ( - 4 , - 2 ) , Q ( 3,6 )$
A)  $\left( \frac { 1 } { 2 } , - 2 \right)$
B) $\left( \frac { 1 } { 3 } , 2 \right)$
C) $\left( 2 , - \frac { 1 } { 2 } \right)$
D) (-4,2)
E) $\left( - \frac { 1 } { 2 } , 2 \right)$

Quizplus · Accepted Answer

The midpoint of a line segment with endpoints $P(x_1, y_1)$ and $Q(x_2, y_2)$ is given by $\left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)$. For $P(-4, -2)$ and $Q(3, 6)$, the midpoint is $\left( \frac{-4 + 3}{2}, \frac{-2 + 6}{2} \right) = \left( -\frac{1}{2}, 2 \right)$.

Find the Midpoint of Line Segment PQ P(−4,−2),Q(3,6)P ( - 4 , - 2 ) , Q ( 3,6 )P(−4,−2),Q(3,6)

Find the Midpoint of Line Segment PQ $P ( - 4 , - 2 ) , Q ( 3,6 )$