A segment with endpoints at A(2,-2) and B(-14,4) is extended through B to point C. If BC = 3*AB, what are the coordinates for point C? Express your answer as an ordered pair.
A is the start of the segment, then B then C
FROM A (2,-2)
Consider A to B
x displacement is -14-2= -16 y displacement is 4 - - 2 = 6
A to C is 4 times as far so
x displacement is -16*4=-64 y displacement is 6*4= 24
But you are starting at A so the point C will be
C(2 + - 64, -2 +24) = C(-62, 22)