Since the answer choices differ in their first coordinate, it is sufficient to determine that one. The 2: 5 ratio means the distance from A to the point is 2 / (2 + 5) = 2/7 of the total distance A to B. The x-distance from A to B is 20 -1 = 19 units. 2/7 of that is (2/7) -19 = 38/7 = 5 3/7. Adding this value to the x-coordinate of A gives the x-coordinate of the point of interest: 1 + 5 3/7 = 6 3/7. The appropriate answer choice is ... ... (6 3/7, 12 2/7) • ..
