To determine if a graph shows a proportional relationship, look for the following characteristics:
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Straight Line Through the Origin: A graph that shows a proportional relationship will be a straight line that passes through the origin (0,0). This indicates that as one quantity increases, the other quantity increases at a constant rate.
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Constant Slope: The slope of the line must remain constant; this means that the ratio of the two quantities remains the same throughout.
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No Interceptions: Apart from the origin, the line should not intercept the y-axis at any other point. It should not have a y-intercept that is not zero.
If you have multiple graphs to consider, look for these traits. The graph that meets these criteria will represent a proportional relationship. If you can provide descriptions or points from the graphs, I can help you analyze them further!