https://file.aiquickdraw.com/mathbot/file/1726697689590wf2li4k6.jpg

To solve this problem, we will compare the provided number line graph with each mathematical expression.

The number line shows a movement starting at \( -7 \), moving right to \( 6 \) (represented by the arrow ending at \( 6 \)) and then moving left back to \( -3 \).

Now, let's break down each of the options:

### Option a) \( -7 + 13 - 9 \)
1. Start at \( -7 \).
2. Add \( 13 \): 
   \[
   -7 + 13 = 6
   \]
   So you move from \( -7 \) to \( 6 \).
3. Subtract \( 9 \): 
   \[
   6 - 9 = -3
   \]
   So you move back from \( 6 \) to \( -3 \).

This matches the graph perfectly, which shows a movement from \( -7 \) to \( 6 \), then back to \( -3 \).

### Option b) \( -7 - 13 + 9 \)
1. Start at \( -7 \).
2. Subtract \( 13 \): 
   \[
   -7 - 13 = -20
   \]
   This does not match the graph.

### Option c) \( -7 - 13 - 9 \)
1. Start at \( -7 \).
2. Subtract \( 13 \): 
   \[
   -7 - 13 = -20
   \]
   Again, this does not match the graph.

### Conclusion:
The correct option is **a) \( -7 + 13 - 9 \)**, as it matches the movements shown on the number line.

Would you like further explanation or have any questions?

### Related Questions:
1. How do you interpret positive and negative movements on a number line?
2. What are the steps to solving arithmetic problems with multiple operations?
3. Can you explain how to visualize adding and subtracting integers on a number line?
4. How does order of operations affect these kinds of expressions?
5. What other ways can we represent movements on a number line?

**Tip:** When working with a number line, always break down each step (addition or subtraction) and follow the direction (left or right) based on the sign of the number.

Which situation below represents the graph? (The number line starts at -7, moves to 6, and then back to -3.)

Learn how to interpret movements on a number line, including positive and negative steps. This problem involves starting at -7, moving to 6, and then returning to -3, and requires basic integer addition and subtraction. Perfect for students in Grade 6-7.

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