To determine whether the variables \( y \) and \( x \) are proportional in the graphs you mentioned, we check if the ratio \( \frac{y}{x} \) is constant for all points on the graph.
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Graph 1:
- If the graph is a straight line passing through the origin (0, 0), then \( y \) and \( x \) are proportional.
- If you find specific points and see they follow a constant ratio, you can determine \( k \) where \( y = kx \).
- If not, then they are not proportional.
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Graph 2:
- Check the same way as for Graph 1.
- Look for linearity through the origin.
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Graph 3:
- Again, apply the same reasoning.
Example Analysis:
If all three graphs are proportional with the values being as follows for each:
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For Graph 1: Suppose the ratio \( \frac{y}{x} \) is 2 when calculating from points, then:
- Proportional: \( k \) is \( 2 \).
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For Graph 2: If the ratio \( \frac{y}{x} \) is 3, then:
- Proportional: \( k \) is \( 3 \).
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For Graph 3: If the graph indicates that it does not pass through the origin or the ratio is inconsistent:
- Not Proportional.
To accurately fill in those fields, observe the graphs and use the points to confirm the relationships and compute the ratios. If they yield a constant ratio, state it as \( k \); otherwise, indicate they are not proportional.
Feel free to provide specific points from the graphs if you need further assistance in calculations or ratios!