Problema Solution

If a line is extended from A(-2,0) to C passing B(4,-2) such that AC=4AB, find the coordinates of C.

Answer provided by our tutors

Quick Answer: Point C is at (22,-8)

If the line moves from point A (-2,0) through point B (4,-2), then the distance from A to B is (+6,-2).

If AC=4AB, then the distance from A to C is 4*(+6,-2)=(+24,-8)

Starting from point A (-2,0), and moving such a distance(+24,-8), you get (-2+24,0-8) = (22,-8)