Points A(−1.5) and B(6) are marked on a number line. Find the coordinate of point M if it is known that AM:MB=1:2. Find all possible answers.

Question

Points A(−1.5) and B(6) are marked on a number line. Find the coordinate of point M if it is known that AM:MB=1:2. Find all possible answers.

Answer 1

If AB is a line, then M is one third of the way (distance) between A and B, becauseAM:BM = 1:2

6 - -1.5 = 7.5 units for AB

1/3 of 7.5 = 2.5 units

So that would be at the point 1.