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To determine which of the graphs shows a proportional relationship, we need to review the characteristics of a proportional relationship:

1. The graph must pass through the origin \((0, 0)\).
2. The relationship must form a straight line.

### Analysis of Each Graph:
- **Graph A**: This appears to show a vertical line, which does not pass through the origin or represent a proportional relationship.
- **Graph B**: This is a straight line, but it passes below the origin, so it is not proportional.
- **Graph C**: This is a straight line that passes through the origin. This graph satisfies both conditions of a proportional relationship.
- **Graph D**: This is a straight line but does not pass through the origin, so it is not proportional.

### Answer:
The correct graph that shows a proportional relationship is **Graph C**.

Would you like further details or an explanation?  

### Related Questions:
1. What is the equation of a line that represents a proportional relationship?
2. How can you verify proportionality algebraically from a graph?
3. Can a proportional relationship have a negative slope?
4. What distinguishes proportional relationships from other linear relationships?
5. How can real-world proportional relationships be modeled?

### Tip:
For any graph, always check if the line passes through the origin when identifying proportionality!

Which of the following graphs show a proportional relationship?

Discover how to identify proportional relationships in graphs. Understand the characteristics of proportionality, including straight lines passing through the origin. Suitable for middle school students.

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