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

Question

Quizplus · Accepted Answer

The midpoint formula is $\left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right)$. Applying this to the points given: $\left(\frac{a + (-5a)}{2}, \frac{z + 7z}{2}\right) = \left(\frac{-4a}{2}, \frac{8z}{2}\right) = (-2a, 4z)$.

Provide an Appropriate Response