To determine which of the ordered pairs is part of the solution set for the equation \( y = 4x + 2 \), we need to substitute \( x \) from each ordered pair into the equation and see if the corresponding \( y \) value matches the result.
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For (3, 14): \[ y = 4(3) + 2 = 12 + 2 = 14 \quad \text{(True)} \]
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For (3, 7): \[ y = 4(3) + 2 = 12 + 2 = 14 \quad \text{(False)} \]
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For (3, 45): \[ y = 4(3) + 2 = 12 + 2 = 14 \quad \text{(False)} \]
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For (3, 12): \[ y = 4(3) + 2 = 12 + 2 = 14 \quad \text{(False)} \]
The only ordered pair that satisfies the equation \( y = 4x + 2 \) is:
1. (3, 14).
1 answer