Find the midpoint of the line segment joining the points P1 and P2.
-$$\mathrm { P } _ { 1 } = ( - 6,4 ) ; \mathrm { P } _ { 2 } = ( 9,8 )$$
A) $\left( \frac { 3 } { 2 } , 6 \right)$
B) $\left( - \frac { 15 } { 2 } , - 2 \right)$
C) $( 3,12 )$
D) $( - 15 , - 4 )$

Question

Quizplus · Accepted Answer

The midpoint of a line segment is found using the formula $\left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)$. Substituting $x_1 = -6$, $x_2 = 9$, $y_1 = 4$, and $y_2 = 8$ gives $\left( \frac{-6 + 9}{2}, \frac{4 + 8}{2} \right) = \left( \frac{3}{2}, 6 \right)$.

Find the Midpoint of the Line Segment Joining the Points P1=(−6,4);P2=(9,8)\mathrm { P } _ { 1 } = ( - 6,4 ) ; \mathrm { P } _ { 2 } = ( 9,8 )P1​=(−6,4);P2​=(9,8)

Find the Midpoint of the Line Segment Joining the Points $\mathrm { P } _ { 1 } = ( - 6,4 ) ; \mathrm { P } _ { 2 } = ( 9,8 )$