The distance between two numbers on the number line is the absolute difference between them. If one of the numbers is 7 and the distance between the two numbers is 9, we can represent this as:

$|x - 7| = 9$

This absolute value equation can be split into two cases:

1. $x - 7 = 9$
2. $x - 7 = -9$

Solving these equations:

1. For $x - 7 = 9$: $x = 9 + 7 = 16$

2. For $x - 7 = -9$: $x = -9 + 7 = -2$

Conclusion:

The two possibilities for the other number are 16 and -2.

Would you like more details or have any questions? Here are some related questions you might consider:

1. What is the distance between -3 and 5 on the number line?
2. If the distance between two points is 12 and one point is -4, what are the possible values of the other point?
3. How do you find the midpoint between two numbers on the number line?
4. What does the absolute value represent on the number line?
5. How do you solve absolute value equations?

Tip: When working with absolute value equations, always consider both the positive and negative cases.