To determine which ordered pair is a solution to the equation \( y = 4x + 2 \), we can substitute \( x \) from each ordered pair into the equation and see if the equation holds true.
Given the pairs:
- \( (3, 45) \)
- \( (3, 14) \)
- \( (3, 7) \)
- \( (3, 12) \)
Let's substitute \( x = 3 \) into the equation \( y = 4(3) + 2 \):
\[ y = 4(3) + 2 = 12 + 2 = 14 \]
Now, we can check each pair to see if the value of \( y \) matches the calculated value:
- For \( (3, 45) \): \( y = 45 \) (not a solution)
- For \( (3, 14) \): \( y = 14 \) (this is a solution)
- For \( (3, 7) \): \( y = 7 \) (not a solution)
- For \( (3, 12) \): \( y = 12 \) (not a solution)
The only ordered pair that is a solution to the equation \( y = 4x + 2 \) is \( (3, 14) \).