Answer:
Point M will be located between 0 and 1 at [tex]\frac{1}{13}[/tex].
Step-by-step explanation:
Two points A and B have been given on a number line.
Point A is at -3 and point B at 7.
Distance between these points AB = 7 - (-3)
= 7 + 3
= 10 units
Another point M divides the given segment AB in the ratio of 4 : 9.
Therefore, length of segment AM will be = [tex]\frac{4\times 10}{(4+9)}[/tex]
= [tex]\frac{40}{13}[/tex]
= [tex]3\frac{1}{13}[/tex] units
Now the position of point M will be at [tex](-3+3\frac{1}{13})[/tex] = [tex]\frac{1}{13}[/tex]
Therefore, point M will be located between 0 and 1 at [tex]\frac{1}{13}[/tex].
