To determine which of the options is an ordered pair of the relation \( y = -23x + 6 \), we can substitute the x-coordinate from each option into the equation and see if it results in the y-coordinate.
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Option A: (0, 2/3)
- Substitute \( x = 0 \): \[ y = -23(0) + 6 = 6 \] \((0, 2/3)\) is not valid because \( 2/3 \neq 6 \).
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Option B: (3, 8)
- Substitute \( x = 3 \): \[ y = -23(3) + 6 = -69 + 6 = -63 \] \((3, 8)\) is not valid because \( 8 \neq -63 \).
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Option C: (3, 4)
- Substitute \( x = 3 \): \[ y = -23(3) + 6 = -69 + 6 = -63 \] \((3, 4)\) is not valid because \( 4 \neq -63 \).
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Option D: (1, 4)
- Substitute \( x = 1 \): \[ y = -23(1) + 6 = -23 + 6 = -17 \] \((1, 4)\) is not valid because \( 4 \neq -17 \).
None of the given ordered pairs satisfy the relation \( y = -23x + 6 \).