Let A = (2,3) and B = (-4,15). Find the point P on line segment AB such that AP:PB = 3:5.
We want to go 3 /(3+5) = 3/8 of the way from A to B
x: from 2 to -4 is -6 3/8 * -6 + 2 = ..........
y: from 3 to 15 is +12 3/8 * 12 + 3 = ..........