It seems like you're trying to sort graphs into two categories: Proportional Relationship and Non-Proportional Relationship. However, I can't directly interact with or manipulate graphical inputs.
To help you, I can explain the differences between these two types of relationships:
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Proportional Relationship: In these graphs, the ratio of the two variables remains constant. If one variable increases, the other increases by a fixed multiple (and vice versa). The graph will typically be a straight line that passes through the origin (0,0). Examples include y = kx where k is a constant.
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Non-Proportional Relationship: In these graphs, the ratio does not remain constant. The relationship may still be linear, but the line does not pass through the origin, indicating an initial value (y-intercept) that is not zero. It can also include other types of relationships (non-linear), such as quadratic or exponential growth.
If you have specific graphs or descriptions, feel free to share them, and I can help you determine which category each one belongs to!