A segment with endpoints at A(2, -2) and B(14, 4) is extended through B to point C. If BC = \(1/4\) AB, what are the coordinates for point C? Express your answer as an ordered pair.

I hope this is correct.

The difference between A and B is (12, 6). Since BC is 1/4th of AB, the difference between B anc C is (3, 3/2). We add this to B to get (17, 11/2).