To find the two possible values for the other number, given that the distance between the two numbers is 9 and one of the numbers is 7, you can set up the following equation:

$|x - 7| = 9$

This equation represents the absolute difference between the two numbers. We can solve it by considering the two possible cases:

Case 1: Positive Distance

$x - 7 = 9$ $x = 9 + 7 = 16$

Case 2: Negative Distance

$x - 7 = -9$ $x = -9 + 7 = -2$

Conclusion:

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

Do you have any questions or need further details? Here are some related questions you might find interesting:

1. How do you calculate the distance between two points on a coordinate plane?
2. What is the distance between 10 and -4 on the number line?
3. How can you determine the midpoint between two numbers on a number line?
4. How does the concept of absolute value relate to distance on the number line?
5. What is the distance between -7 and 2 on the number line?

Tip: When solving problems involving distance on the number line, remember to consider both the positive and negative cases in the absolute value equation.