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:M(1)Step-by-step explanation:(Please see the attached picture to better visualize the number line)What we know:- Point A is at -1.5 on the number line- Point B is at 6 on the number line- AM:MB=1:2From the ratio, we automatically know that point M is in between point A and point B on the number line. In other words, point M is greater than -1.5 but less than 6. (-1.5<m<6). We also learn from the ratio that if the distance between point A and point B is divided into thirds, AM would take up one of those thirds and MB would take up two of those thirds.1. Find the distance between point A(-1.5) and point B(6)6-(-1.5)= 6+1.5= 7.52. Divide this distance into thirds7.5/3= 2.5Now, we know that one third of the distance between AM and BM is 2.5. 3. Add 2.5 to point A(-1.5) to find point M (please refer to the picture attached)-1.5+2.5= 1I hope this helps! Please comment if you have any questions.