what are the coordinates for point \(c\) Express your answer as an ordered pair.
To get the point that divides AB so that AP:PB = r, you multiply the coordiantes of A by r and the coordinates of B by 1 - r, and add them. For example, for r = 1/2, you just take the average of the coordinates of A and the coordinates of B.
So for point C, we take r = 1 + 1/3 = 4/3. So
C = 4/3 (2,-2) + (-1/3) (14,4) = (-2,-4).