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.

The coordinate of M is 1 .

Step-by-step explanation:

Here, the given points are A(-1.5) and B(6)

M is the point lying on AB.

The ratio of AM  :   MB =    1   :    2

Total Length of AB = OB - OA

= 6 -(-1.5)  = 6  +    1.5 = 7.5

or, the length of AB = 7.5 units  

Now, let the common ratio of AM:MB =  x

⇒Length of AM + Length pf MB = Length of AB

or,  x + 2x  = 7.5

or,  3x = 7.5

⇒ x  = 7.5/3 = 2.5

or the common ration value = 2.5

Hence, the length of AM = 2.5 units

and the length of MB = 2 x = 5 units

So, the coordinate of M = -1.5 + 2.5 = 1 unit

Hence,  the coordinate of M is 1 .