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

Question

Quizplus · Accepted Answer

The midpoint of a line segment with endpoints $(x_1, y_1)$ and $(x_2, y_2)$ is given by $\left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right)$. Applying this formula to the given points $P_1 = (5x, 6)$ and $P_2 = (6x, 7)$, we get the midpoint as $\left(\frac{5x + 6x}{2}, \frac{6 + 7}{2}\right) = \left(\frac{11x}{2}, \frac{13}{2}\right)$.

Find the Midpoint of the Line Segment Joining the Points P1 and P2P _ { 1 } \text { and } P _ { 2 }P1​ and P2​

Find the Midpoint of the Line Segment Joining the Points $P _ { 1 } \text { and } P _ { 2 }$