Select the option below that correctly shows which of the following ordered pairs of the solution set for the equation y=4x+2

Question

(3,45)
(3,7)
(3,12)
(3,14)

Answer 1

To determine which of the given ordered pairs is a solution to the equation \(y = 4x + 2\), we can substitute the \(x\)-value from each pair into the equation and see if the resulting \(y\)-value matches.

1. For the pair (3, 45): \[ y = 4(3) + 2 = 12 + 2 = 14 \quad (\text{not } 45) \]

2. For the pair (3, 7): \[ y = 4(3) + 2 = 12 + 2 = 14 \quad (\text{not } 7) \]

3. For the pair (3, 12): \[ y = 4(3) + 2 = 12 + 2 = 14 \quad (\text{not } 12) \]

4. For the pair (3, 14): \[ y = 4(3) + 2 = 12 + 2 = 14 \quad (\text{matches } 14) \]

Therefore, the only correct ordered pair that is a solution to the equation \(y = 4x + 2\) is (3, 14).