Provide an appropriate response.
-What is the midpoint of the segment joining $( a , z )$ and $( - 5 a , 7 z )$ ?
A) $( - 2 a , 4 z )$
B) $( - 4 a , 8 z )$
C) $( 2 a , 3 z )$
D) $( - 3 a , 4 z )$

Question

Quizplus · Accepted Answer

The midpoint of a segment joining two points $( x_1 , y_1 )$ and $( x_2 , y_2 )$ is given by the formula $( \frac{x_1 + x_2}{2} , \frac{y_1 + y_2}{2} )$. Using this formula, the midpoint of the segment joining $( a , z )$ and $( - 5 a , 7 z )$ is $( \frac{a + (- 5 a)}{2} , \frac{z + 7 z}{2} ) = \frac{- 4 a}{2} , \frac{8 z}{2} = - 2 a , 4 z $.

Provide an Appropriate Response (a,z)( a , z )(a,z) And (−5a,7z)( - 5 a , 7 z )(−5a,7z)

Provide an Appropriate Response $( a , z )$ And $( - 5 a , 7 z )$