The coordinates of the endpoints of AB are A(3,6) and B(7,–10). Point C is on AB and divides it such that AC:BC is 1:3. What are the coordinates of C?

Answer 1

x-coordinate: 3+(1/3)(7-3) = 3+(1/3)(4) = 3+(4/3) = 13/3

y-coordinate: 6+(1/3)(-10-6) = 6+(1/3)(-16) = 6+(-16/3) = 2/3

C(13/3 , 2/3).

Hope it makes sense.