Answer:
M(1)
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=1:2
From 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
= 7.5
2. Divide this distance into thirds
7.5/3
= 2.5
Now, 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
= 1
I hope this helps! Please comment if you have any questions.