To determine which ordered pairs are part of the solution set for the equation \( y = 4x + 2 \), we can substitute the \( x \) value from each ordered pair into the equation and see if the corresponding \( y \) value matches.
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For the pair \( (3, 7) \): \[ y = 4(3) + 2 = 12 + 2 = 14 \] This does not match \( 7 \).
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For the pair \( (3, 45) \): \[ y = 4(3) + 2 = 12 + 2 = 14 \] This does not match \( 45 \).
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For the pair \( (3, 12) \): \[ y = 4(3) + 2 = 12 + 2 = 14 \] This does not match \( 12 \).
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For the pair \( (3, 14) \): \[ y = 4(3) + 2 = 12 + 2 = 14 \] This matches \( 14 \).
Thus, the ordered pair that is part of the solution set for the equation \( y = 4x + 2 \) is (3, 14).
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