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/./

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

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

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

(3,14)

Answer 1

To determine which ordered pair is part of the solution set for the equation \( y = 4x + 2 \), we need to substitute \( x \) with 3 in the equation and calculate the corresponding \( y \) value.

Substituting \( x = 3 \):

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

Now, we can check which of the given ordered pairs matches \( (3, 14) \):

- \( (3, 12) \) → \( y \) value is 12 (not a solution)
- \( (3, 7) \) → \( y \) value is 7 (not a solution)
- \( (3, 45) \) → \( y \) value is 45 (not a solution)
- \( (3, 14) \) → \( y \) value is 14 (this is the solution)

Therefore, the correct option is \( (3, 14) \).