To determine which ordered pair is part of the solution set for the equation \( y = 4x + 2 \), we can plug in the value of \( x \) from each pair into the equation and see if it yields the corresponding value of \( y \).
Let's check each option:
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For \( (3, 45) \): \[ y = 4(3) + 2 = 12 + 2 = 14 \quad \text{(not 45)} \]
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For \( (3, 14) \): \[ y = 4(3) + 2 = 12 + 2 = 14 \quad \text{(this is correct)} \]
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For \( (3, 7) \): \[ y = 4(3) + 2 = 12 + 2 = 14 \quad \text{(not 7)} \]
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For \( (3, 12) \): \[ y = 4(3) + 2 = 12 + 2 = 14 \quad \text{(not 12)} \]
The only ordered pair that gives the correct value of \( y \) is \( (3, 14) \).
Therefore, the correct response is: (3, 14)