To determine which ordered pair is part of the solution set for the equation \( y = 4x + 2 \), we will substitute the \( x \) value from each ordered pair into the equation and check if the resulting \( y \) value matches the \( y \) value in the ordered pair.
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For the pair \( (3, 45) \): \[ y = 4(3) + 2 = 12 + 2 = 14 \quad \text{(not } 45\text{)} \]
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For the pair \( (3, 12) \): \[ y = 4(3) + 2 = 12 + 2 = 14 \quad \text{(not } 12\text{)} \]
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For the pair \( (3, 14) \): \[ y = 4(3) + 2 = 12 + 2 = 14 \quad \text{(this matches)} \]
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For the pair \( (3, 7) \): \[ y = 4(3) + 2 = 12 + 2 = 14 \quad \text{(not } 7\text{)} \]
The only ordered pair that satisfies the equation \( y = 4x + 2 \) is \( (3, 14) \).
So the correct option is \( (3, 14) \).