Question

Point C is on the segment AB which has endpoints A(-1, 0) and B(3, 8). Point C is three times as far from point A as it is from point B. What are the coordinates of point C?

Answer 1

C = (2, 6)

Explanation:

The coordinates of point C can be found as the weighted average of the endpoint coordinates. The weights are the reverse of the relative segment lengths.

For AC : CB = 3 : 1, we have ...

C = (A +3B)/(1+3) = ((-1, 0) +3(3, 8))/4 = (-1+9, 0+24)/4

C = (2, 6)