To determine which of the ordered pairs is part of the solution set for the equation \( y = 4x + 2 \), we need to substitute the value of \( x \) from each ordered pair into the equation and see if the corresponding \( y \) value matches.
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For the pair (3, 45): \[ y = 4(3) + 2 = 12 + 2 = 14 \] (Not a solution, since 45 ≠ 14)
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For the pair (3, 12): \[ y = 4(3) + 2 = 12 + 2 = 14 \] (Not a solution, since 12 ≠ 14)
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For the pair (3, 7): \[ y = 4(3) + 2 = 12 + 2 = 14 \] (Not a solution, since 7 ≠ 14)
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For the pair (3, 14): \[ y = 4(3) + 2 = 12 + 2 = 14 \] (This is a solution, since 14 = 14)
The ordered pair that is part of the solution set for the equation \( y = 4x + 2 \) is (3, 14).
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