To determine whether the graph is proportional or non-proportional, we need to examine the characteristics of the line on the graph.

Key Characteristics of Proportional Relationships:

1. The line passes through the origin (0,0): For a relationship to be proportional, the line must go through the origin.
2. The line is straight: A straight line with a constant slope indicates a proportional relationship.

Analysis of the Given Graph:

• The Line's Path: The line in the graph appears to be straight.
• Origin Check: From the image, the line does not pass through the origin (0,0). It passes through a point above the origin on the y-axis.

Conclusion:

Since the line does not pass through the origin, the relationship represented by this graph is non-proportional.

Would you like more details or have any further questions?

Here are some related questions you might find interesting:

1. What is the difference between proportional and non-proportional relationships?
2. How can you determine the slope of a line from a graph?
3. What are some real-life examples of proportional relationships?
4. How do you find the equation of a line from a graph?
5. What is the significance of the y-intercept in a non-proportional relationship?

Tip: When analyzing graphs, always check if the line passes through the origin to quickly assess whether the relationship is proportional.