Find the midpoint of the line segment joining the points A and B.
-A = (9y, 9); B = (10y, 8)
A) $( 19 y , 17 )$
B) $( y , 1 )$
C) $\left( \frac { 19 \mathrm { y } } { 2 } , \frac { 17 } { 2 } \right)$
D) $\left( \frac { 17 y } { 2 } , \frac { 19 } { 2 } \right)$

Question

Find the midpoint of the line segment joining the points A and B.
-A = (9y, 9); B = (10y, 8) 
A) $( 19 y , 17 )$
B) $( y , 1 )$
C) $\left( \frac { 19 \mathrm { y } } { 2 } , \frac { 17 } { 2 } \right)$
D) $\left( \frac { 17 y } { 2 } , \frac { 19 } { 2 } \right)$

Quizplus · Accepted Answer

The midpoint formula is $\left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)$. Applying this to points A and B gives $\left( \frac{9y + 10y}{2}, \frac{9 + 8}{2} \right) = \left( \frac{19y}{2}, \frac{17}{2} \right)$.

Find the Midpoint of the Line Segment Joining the Points (19y,17)( 19 y , 17 )(19y,17)

Find the Midpoint of the Line Segment Joining the Points $( 19 y , 17 )$