To determine which graph represents the inequality \( 2x > y \), let's first rewrite it in slope-intercept form for easier visualization.

The given inequality is:
\[
2x > y
\]

Rewriting it in slope-intercept form (\(y = mx + b\)):
\[
y < 2x
\]

This tells us that the line \(y = 2x\) is the boundary of the inequality. The inequality symbol \( < \) means that we are considering the area below the line.

### Key Characteristics of the Graph
1. **Line Equation**: The boundary line is \(y = 2x\). This line has a slope of 2 and passes through the origin (0, 0).
2. **Dashed Line**: The boundary line should be dashed because the inequality is strict (\( < \)), meaning points on the line itself are not included in the solution.
3. **Shading**: The region below the dashed line \(y = 2x\) should be shaded, indicating the solution set.

### Conclusion
The correct graph would feature:
- A dashed line representing \(y = 2x\).
- The shaded region below this line.

Would you like more details on how to plot the graph or have any questions?

Here are some related questions:
1. How do you graph inequalities with more than one condition (e.g., \(y > 2x\) and \(y < x + 3\))?
2. What changes if the inequality symbol is \( \geq \) or \( \leq \)?
3. How do you determine if a point is a solution to an inequality graphically?
4. What are the steps to convert inequalities into slope-intercept form?
5. How do inequalities affect the shape of linear regions on a coordinate plane?

**Tip:** When dealing with inequalities, always pay attention to whether the boundary line is dashed or solid; this indicates if the line itself is included in the solution.

Learn how to graph the linear inequality 2x > y by rewriting it in slope-intercept form. Discover key concepts like the boundary line y = 2x, using a dashed line, and shading the appropriate region. Suitable for students in Grades 9-10.

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