Answer:
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 .
