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

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

Answer 1

To determine which ordered pairs are part of the solution set for the equation \( y = 4x + 2 \), we can substitute the \( x \) value from each ordered pair into the equation and see if the corresponding \( y \) value matches.

1. For the pair \( (3, 7) \):
\[
y = 4(3) + 2 = 12 + 2 = 14
\]
This does not match \( 7 \).

2. For the pair \( (3, 45) \):
\[
y = 4(3) + 2 = 12 + 2 = 14
\]
This does not match \( 45 \).

3. For the pair \( (3, 12) \):
\[
y = 4(3) + 2 = 12 + 2 = 14
\]
This does not match \( 12 \).

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

Thus, the ordered pair that is part of the solution set for the equation \( y = 4x + 2 \) is **(3, 14)**.