To determine which of the ordered pairs is part of the solution set for the equation \(y = 4x + 2\), we will substitute \(x = 3\) into the equation and calculate the corresponding \(y\) value.
Substituting \(x = 3\):
\[ y = 4(3) + 2 \] \[ y = 12 + 2 \] \[ y = 14 \]
So when \(x = 3\), \(y\) should equal 14.
Now, let's compare this to the options provided:
A: (3, 45)
B: (3, 12)
C: (3, 7)
D: (3, 14)
The correct ordered pair that matches our calculation is:
D: (3, 14).
1 answer