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?

Answer 1

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)