Find the midpoint of the line segment joining the points P1 and P2.
-$$\mathrm { P } _ { 1 } = ( 5 \mathrm { x } , 6 ) ; \mathrm { P } _ { 2 } = ( 6 \mathrm { x } , 7 )$$
A) $\left( \frac { 11 x } { 2 } , \frac { 13 } { 2 } \right)$
B) $( x , 1 )$
C) $( 11 x , 13 )$
D) $\left( \frac { 13 x } { 2 } , \frac { 11 } { 2 } \right)$

Question

Quizplus · Accepted Answer

The midpoint of a line segment joining two points $(x_1, y_1)$ and $(x_2, y_2)$ is given by $\left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)$. For points $P_1 = (5x, 6)$ and $P_2 = (6x, 7)$, the midpoint is $\left( \frac{5x + 6x}{2}, \frac{6 + 7}{2} \right) = \left( \frac{11x}{2}, \frac{13}{2} \right)$.

Find the Midpoint of the Line Segment Joining the Points P1=(5x,6);P2=(6x,7)\mathrm { P } _ { 1 } = ( 5 \mathrm { x } , 6 ) ; \mathrm { P } _ { 2 } = ( 6 \mathrm { x } , 7 )P1​=(5x,6);P2​=(6x,7)

Find the Midpoint of the Line Segment Joining the Points $\mathrm { P } _ { 1 } = ( 5 \mathrm { x } , 6 ) ; \mathrm { P } _ { 2 } = ( 6 \mathrm { x } , 7 )$