Posted by Anonymous on .
Point Y lies on line segment XZ, between X and Z. The (x,y) coordinates for X and Z are (7,2) and (3,3), respectively. If the ratio of line segment XY to line segment YZ is 2 to 3, what are the (x,y) coordinates of Y?

Geometry 
Steve,
Y is 2/5 of the way from X to Z
x changes by 10
y changes by 5
when moving from X to Z. So,
Y = X+(4,2) = (3,0)