Point X is located at (2, −6) and point Z is located at (0, 5). Find the y value for the point Y that is located one over five the distance from point X to point Z.

A) −3.6

B) −3.8

C) −4

D) −4.2

Question

Point X is located at (2, −6) and point Z is located at (0, 5). Find the y value for the point Y that is located one over five the distance from point X to point Z. 

 A) −3.6 

 B) −3.8 

 C) −4 

D) −4.2

ranga · Answer

If the points were A (x1, y1)  and  B (x2, y2), then point C that is 1/5th of AB from point A will be at:  ( x1 + (x2-x1)/5,  y1 + (y2-y1)/5 )

Here they are asking only the y-value of point Z and so you need to use just the y formula.

ranga · Answer

You just need to compute y1 + (y2-y1)/5 
The two points are (2,-6) and (0,5)
So y1 = -6, y2= 5.  Plug the numbers into y1 + (y2-y1)/5 and that will be the y-coordinate of point Y.