To determine if the equation \( P = 2 + 0.2Q_s \) correctly describes the supply curve on the graph, we need to analyze the equation in the context of the graph:

### Breakdown of the Equation:
- **\( P = 2 + 0.2Q_s \):**
  - \( P \) is the price.
  - \( Q_s \) is the quantity supplied.
  - The equation is in the form of \( P = mQ_s + b \), where \( m \) is the slope and \( b \) is the y-intercept.

### Interpretation:
- **Slope (\( m = 0.2 \)):** This positive slope indicates that as the quantity supplied \( Q_s \) increases, the price \( P \) also increases. This is consistent with the behavior of a supply curve.
- **Y-intercept (\( b = 2 \)):** When \( Q_s = 0 \), the price \( P \) is 2.

### Conclusion:
Yes, **\( P = 2 + 0.2Q_s \)** appears to be a correct equation for the supply curve based on the following:
- The positive slope matches the upward-sloping supply curve in the graph.
- The y-intercept of 2 suggests that the price starts at 2 when no quantity is supplied, which should align with the graph's starting point for the supply curve.

### Follow-Up
Would you like to verify the demand equation as well, or do you have any further questions on how the equation relates to the graph?

**Here are 5 related questions you might find useful:**
1. How do you calculate the equilibrium price and quantity using supply and demand equations?
2. What happens to the supply curve if the slope \( m \) increases or decreases?
3. How can you graphically represent the supply curve from its equation?
4. What real-world factors can cause shifts in the supply curve?
5. How does elasticity of supply affect the steepness of the supply curve?

**Tip:** When analyzing supply and demand equations, always pay attention to the sign and magnitude of the slope. This will help you understand whether the relationship is direct or inverse and how sensitive it is to changes in quantity.

Explore whether P = 2 + 0.2Qs accurately represents the supply curve with detailed analysis. Understand the slope and y-intercept implications in relation to the quantity supplied. Suitable for high school students studying economics or mathematics.

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