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.
A) (3, 45)
B) (3, 14)
C) (3, 12)
D) (3, 7)

Answer 1

To determine which of the ordered pairs is part of the solution set for the equation \( y = 4x + 2 \), we can substitute \( x = 3 \) into the equation and calculate the corresponding value of \( y \).

Substituting \( x = 3 \) into the equation:

\[
y = 4(3) + 2
\]
\[
y = 12 + 2
\]
\[
y = 14
\]

Now, we check the ordered pairs:

A) \( (3, 45) \) → \( y \neq 14 \)
B) \( (3, 14) \) → \( y = 14 \) (this is a solution)
C) \( (3, 12) \) → \( y \neq 14 \)
D) \( (3, 7) \) → \( y \neq 14 \)

The correct option is:

**B) (3, 14)**