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To identify proportional relationships from graphs, we look for certain key characteristics:

1. **Straight Line Through the Origin (0,0)**: A graph shows a proportional relationship if it is a straight line and passes through the origin (0,0). This is because proportionality implies that when one variable is 0, the other must also be 0, and their ratio is constant.

Now, examining the graphs:

- **Graph A** shows a straight line passing through the origin. Therefore, it represents a proportional relationship.
- **Graph B** is not visible here, but if it does not pass through the origin or is not a straight line, it does not show a proportional relationship.

Therefore, **Graph A** is an example of a proportional relationship.

Would you like to explore more about graphing proportional relationships or verify other graphs?

Here are 5 related questions:
1. What is the equation of a proportional relationship from a graph?
2. How can you determine the constant of proportionality from a graph?
3. What happens if the graph does not pass through the origin?
4. Can a curved graph represent a proportional relationship?
5. How do we apply proportional relationships in real-life scenarios like speed and distance?

**Tip**: When working with graphs, always check if the line passes through the origin to confirm proportionality.

Which of the following graphs show a proportional relationship?

Learn how to identify proportional relationships from graphs in Grade 7 math. Explore key characteristics like straight lines through the origin and constant ratios. This problem includes step-by-step analysis of graphs that represent proportional relationships.

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