## 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

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## Answers ( )

Answer:M = 1 and M = -7.5

Step-by-step explanation:The distance between A and B is 6 – (-1.5) = 7.5

Point 1: M is between AB. Since AM:MB = 1:2 then AM:AB = 1:(1+2) = 1:3

that means AM = 7.5 / 3 = 2.5

So M is at -1.5 + 2.5 = 1

Point 2: A is between MB. Since AM:MB = 1:2 then AM:AB = 1:(2-1) = 1

That means AM = AB = 6

So M is at -1.5 – 6 = -7.5