To determine which ordered pairs represent points on the graph of the equation \( y = \frac{1}{3} x \), we need to check the pairs to see if they satisfy the equation.
The equation can be rewritten in terms of \( x \) for specific values of \( y \):
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For \( x = 0 \): \[ y = \frac{1}{3}(0) = 0 \quad \Rightarrow \quad (0, 0) \]
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For \( x = 3 \): \[ y = \frac{1}{3}(3) = 1 \quad \Rightarrow \quad (3, 1) \]
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For \( x = 6 \): \[ y = \frac{1}{3}(6) = 2 \quad \Rightarrow \quad (6, 2) \]
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For \( x = 9 \): \[ y = \frac{1}{3}(9) = 3 \quad \Rightarrow \quad (9, 3) \]
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For \( x = -3 \): \[ y = \frac{1}{3}(-3) = -1 \quad \Rightarrow \quad (-3, -1) \]
You can use any ordered pairs of \( (x, y) \) and substitute \( x \) into the equation to calculate if \( y \) matches the point.
If you have a specific list of ordered pairs to evaluate, please provide them, and I can assist you in identifying which pairs satisfy the equation \( y = \frac{1}{3} x \).