X, Y, and Z are on a line. X is located at -4 and XY=10. If XZ is three fourths as long as XY, what is Z?

Question

How do I find Z?

Answer 1

Hi,

 

Let's begin by calculating the length of line XZ given that it's 3/4 the length of line XY and the length of line XY is given as 10:

    XZ = (3/4) x 10 = 7.5

 

Now we can determine point Z, which is one of the endpoints of the line XZ, since the difference of a line's two endpoints is it's length:

    x - (-4) = 7.5

    x + 4 = 7.5

          x = 7.5 - 4

          x = 3.5 (point Z)

 

Thanks for submitting this problem and glad to help.

 

God bless, Jordan.