Question

Consider the line segment YZ with endpoints Y(-3,-6) and Z(7,4). What is the y-coordinate of the midpoint of line segment YZ?

Answer 1

Given:

Consider the line segment YZ with endpoints Y(-3,-6) and Z(7,4).

To find:

The y-coordinate of the midpoint of line segment YZ.

Solution:

Midpoint formula:

$Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$

The endpoints of the line segment YZ are Y(-3,-6) and Z(7,4). So, the midpoint of YZ is:

$Midpoint=\left(\dfrac{-3+7}{2},\dfrac{-6+4}{2}\right)$

$Midpoint=\left(\dfrac{4}{2},\dfrac{-2}{2}\right)$

$Midpoint=\left(2,-1\right)$

Therefore, the y-coordinate of the midpoint of line segment YZ is -1.