Question

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

1. (3. 14)
2. (3, 7)
3. (3, 45)
4. (3, 12)

Answer 1

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.

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

2. For (3, 7):
\[
y = 4(3) + 2 = 12 + 2 = 14 \quad \text{(False)}
\]

3. For (3, 45):
\[
y = 4(3) + 2 = 12 + 2 = 14 \quad \text{(False)}
\]

4. 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)**.