To determine which graph shows a proportional relationship, you should look for specific characteristics:
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Straight Line through the Origin: A proportional relationship can be represented by a straight line that passes through the origin (0,0). This indicates that when one quantity is zero, the other is also zero.
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Constant Ratio: The ratio of the two variables must remain constant, meaning that for any two points on the line, the ratio of the y-coordinate to the x-coordinate should be the same.
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No Intercept Other than Origin: Apart from the origin, the line should not intersect the y-axis or x-axis at any other point.
If you have specific graphs to analyze, you can apply these criteria to determine which one represents a proportional relationship. If you describe the graphs or share their characteristics, I can help you analyze them further!