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.

Respuesta :

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:

[tex]\frac{y_1+y_2}{2}[/tex]

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

[tex]y_1=0\\y_2=15[/tex]

Then, when you substitute them into [tex]\frac{y_1+y_2}{2}[/tex], you get:

 [tex]=\frac{0+15}{2}=\frac{15}{2}=7.5[/tex]

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.