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((x_1+x_2)/(2),(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((-3+7)/(2),(-6+4)/(2)\right)`

`Midpoint=\left((4)/(2),(-2)/(2)\right)`

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

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