To determine which ordered pairs represent points on the graph of the equation \( y = -x + 3 \), we can substitute the \( x \) values from each ordered pair into the equation and check if the calculated \( y \) value matches the given \( y \) value in the ordered pair.
Let's clarify the equation:
- The slope is -1, and it has a y-intercept of 3.
To identify the valid points, you can test a few \( x \) values across the equation:
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When \( x = 0 \): \[ y = -0 + 3 = 3 \quad \Rightarrow \quad (0, 3) \]
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When \( x = 1 \): \[ y = -1 + 3 = 2 \quad \Rightarrow \quad (1, 2) \]
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When \( x = 2 \): \[ y = -2 + 3 = 1 \quad \Rightarrow \quad (2, 1) \]
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When \( x = 3 \): \[ y = -3 + 3 = 0 \quad \Rightarrow \quad (3, 0) \]
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When \( x = 4 \): \[ y = -4 + 3 = -1 \quad \Rightarrow \quad (4, -1) \]
Now you can verify which ordered pairs (from a provided set) fit one of these results by plugging in their \( x \) values. If you have specific ordered pairs, list them here, and I can help check which ones lie on the graph of the equation \( y = -x + 3 \).