Question

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 point)
Responses

(3,14)
left parenthesis 3 comma 14 right parenthesis

(3,12)
left parenthesis 3 comma 12 right parenthesis

(3,7)
left parenthesis 3 comma 7 right parenthesis

(3,45)

Answer 1

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

1. For \( (3, 14) \):
\[
y = 4(3) + 2 = 12 + 2 = 14
\]
This pair is a solution.

2. For \( (3, 12) \):
\[
y = 4(3) + 2 = 12 + 2 = 14
\]
This pair is not a solution.

3. For \( (3, 7) \):
\[
y = 4(3) + 2 = 12 + 2 = 14
\]
This pair is not a solution.

4. For \( (3, 45) \):
\[
y = 4(3) + 2 = 12 + 2 = 14
\]
This pair is not a solution.

Thus, the only ordered pair that is part of the solution set for the equation \( y = 4x + 2 \) is:

**(3, 14)**.