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Consider budget constraints A and B in the graph shown.


 A line graph.A line graph. The x-axis, labelled Q movie tickets, ranges from 0 to 8 in increments of 2. The y-axis, labelled Q books, ranges from 1 to 5. Three lines are plotted. Line A starts at (0, 4) and ends at (8, 0). B starts at (0, 4) and ends at (6, 0). C starts at (0, 2) and ends at (4, 0). 

The slope of A compared to the slope of B:

Multiple Choice
shows that the opportunity cost of books is greater in line A.
is steeper, showing that movie tickets are relatively more expensive in line A.
is flatter, showing that books are relatively less expensive in line A.
shows that the opportunity cost of books is smaller in line A. < choose 1

To solve the question regarding the slopes of budget constraints A and B, we need to compare their slopes to understand the relative opportunity costs.

### **Understanding Slopes:**

1. **Line A:**
   - It starts at (0, 4) and ends at (8, 0).
   - Slope of A = \(\frac{0 - 4}{8 - 0} = \frac{-4}{8} = -0.5\).

2. **Line B:**
   - It starts at (0, 4) and ends at (6, 0).
   - Slope of B = \(\frac{0 - 4}{6 - 0} = \frac{-4}{6} = -\frac{2}{3} \approx -0.67\).

### **Comparing the Slopes:**
- The slope of Line A is \(-0.5\).
- The slope of Line B is \(-\frac{2}{3}\) or approximately \(-0.67\).

The slope indicates the opportunity cost of one good in terms of the other:
- **Flatter slope (less negative)**: Lower opportunity cost for the good on the y-axis (books).
- **Steeper slope (more negative)**: Higher opportunity cost for the good on the y-axis (books).

### **Conclusion:**
- The slope of A (\(-0.5\)) is flatter than the slope of B (\(-0.67\)).
- This means books are relatively less expensive (lower opportunity cost) in Line A compared to Line B.

### **Answer:**
The correct answer is:
- **C.** "The slope of A is flatter, showing that books are relatively less expensive in line A."

Would you like further details or have any additional questions?

Here are some related questions you might find interesting:
1. How does the slope of a budget line relate to opportunity cost?
2. What does a budget constraint represent in economics?
3. How do changes in prices affect the budget line?
4. What happens to the budget line if income increases?
5. How can we interpret shifts in the budget line?
6. How would you calculate the opportunity cost using the slope of the budget line?
7. What would happen to the slope if the price of books increased?
8. How do you graphically determine the optimal consumption point on a budget line?

**Tip:** Remember that the slope of a budget line reflects the trade-off between two goods, indicating the opportunity cost of one good in terms of the other.

Understand the slopes of budget constraints A and B in economics. Learn how to compare slopes to determine the relative opportunity cost of movie tickets and books using the slope formula. Suitable for high school students studying economics or introductory algebra.

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