X is a point between A(-5,-2) and B(5,13) such that AX:XB = 2:3. Find the coordinates of X.
let the point X be X(a,b)
by ratios
(a+5)/5-a) = 3/2
2a+10 = 15-3a
5a=5
a=1
(b+2)/(13-b) = 3/2
2b+4 = 39 - 3b
5b = 35
b = 7
make a sketch to verify