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.

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=1:2

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.

1 x=22.52

2: 65/39=604+39x

65x-39x=604

26x=604

x=604/26

×=23.23