Question

Which methods could you use to calculate the y-coordinate of the midpoint of a vertical line segment with endpoints at (0,0) and (0,15)?
A. Count by hand
B. Divide 15 by 2.
C. Add the endpoint.
D. Divide 1 by 15.

Answer 1

Answer: Option B.

Step-by-step explanation:

You need to remember that the y-coordinate of the midpoint is the average of the y-coordinate of the two points:

$\frac{y_1+y_2}{2}$

Given the endpoints (0,0) and (0,15) of the line segment, you can identify that the y-coordinate of each one are:

$y_1=0\\y_2=15$

Then, when you substitute them into $\frac{y_1+y_2}{2}$, you get:

 $=\frac{0+15}{2}=\frac{15}{2}=7.5$

Then, the method that you could use to calculate the y-coordinate of the midpoint of this vertical line segment is:

Divide 15 by 2.