Question

Let point A be (2,7) and point B be (-6,-3). What point is on the segment connecting A and B such that the distance from the point to B is 4 times the distance from the point to A?

Answer 1

or the distance to be 4 times the distance from B as A the segment must be divided into (4+1) = 5 segments

so we want the point that is 1/5 of the way from A to B

x from A to B is 2 to - 6 = -8 units 1/5 * -8 + 2 = 0.4

y from A to B is 7 to -3 = -10 units 1/5 * -10 + 7 = 5