from A-->B in a 2:3 ratio means that it's 2/(2+3) of the way up AB So 2/5 of the x of AB = 2/5×(18-2) = 2/5 (16) = 32/5 = 6 2/5 + the original x of A (2) = 8 2/5 2/5 of the y of AB = 2/5×(12-6) = 2/5 (6) = 12/5 = 2 2/5 + the original y of A (6) = 8 2/5 Therefore the answer is: (8 2/5, 8 2/5)