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

(3,45)
left parenthesis 3 comma 45 right parenthesis

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

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

(3,12)

Answer 1

To determine which ordered pair is part of the solution set for the equation \( y = 4x + 2 \), we can plug in the value of \( x \) from each pair into the equation and see if it yields the corresponding value of \( y \).

Let's check each option:

1. For \( (3, 45) \):
\[
y = 4(3) + 2 = 12 + 2 = 14 \quad \text{(not 45)}
\]

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

3. For \( (3, 7) \):
\[
y = 4(3) + 2 = 12 + 2 = 14 \quad \text{(not 7)}
\]

4. For \( (3, 12) \):
\[
y = 4(3) + 2 = 12 + 2 = 14 \quad \text{(not 12)}
\]

The only ordered pair that gives the correct value of \( y \) is \( (3, 14) \).

Therefore, the correct response is:
**(3, 14)**