To determine which of the given pairs is part of the relation \(y = -23x + 3\), we need to substitute the x-value from each ordered pair into the equation and see if it gives us the corresponding y-value.
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For the pair (3, 8): \[ y = -23(3) + 3 = -69 + 3 = -66 \quad \text{(not 8)} \]
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For the pair (2, 4): \[ y = -23(2) + 3 = -46 + 3 = -43 \quad \text{(not 4)} \]
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For the pair (-2, 0): \[ y = -23(-2) + 3 = 46 + 3 = 49 \quad \text{(not 0)} \]
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For the pair (3, 1): \[ y = -23(3) + 3 = -69 + 3 = -66 \quad \text{(not 1)} \]
None of the provided ordered pairs satisfy the relation \(y = -23x + 3\). Therefore, none of the options given represent an ordered pair of the relation.