A, B, and C are collinear, and B is between A and C. The ratio of AB to BC is 3 : 1. If A is at (-7,3) and B is at (-1,0), what are the coordinates of point C?
Note that BC = (1/3)AB
We have that C =
[ -1 + (1/3) ( -1 - - 7) , 0 + (1/3)( 0 - 3) ]
[ -1 + (1/3)(6) , 0 + ( 1/3)(-3) ]
[ -1 + 2 , 0 - 1]
( 1, - 1)
