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each graph, determine whether x and y are proportional. if x and y are …

Question

each graph, determine whether x and y are proportional. if x and y are proportional, fill in the blank with a number. graph 1 graph of a line proportional y is \\(\square\\) times x not proportional graph 2 graph of a line proportional y is \\(\square\\) times x not proportional

Explanation:

Step1: Check Graph 1 proportionality

Proportional graphs pass through (0,0). Graph 1's line does not go through (0,0).

Step2: Check Graph 2 proportionality

Graph 2's line passes through (0,0). Calculate the ratio $\frac{y}{x}$ using a point, e.g., (1,5): $\frac{5}{1}=5$. Verify with (2,10): $\frac{10}{2}=5$.

Answer:

Graph 1: Not proportional
Graph 2: Proportional, $y$ is $5$ times $x$