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

Answer 1

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

The equation is \( y = 4x + 2 \).

Let’s check each ordered pair:

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

2. For (3, 45):
\[
y = 4(3) + 2 = 12 + 2 = 14
\]
No match! (3, 45) is not a solution.

3. For (3, 12):
\[
y = 4(3) + 2 = 12 + 2 = 14
\]
No match! (3, 12) is not a solution.

4. For (3, 7):
\[
y = 4(3) + 2 = 12 + 2 = 14
\]
No match! (3, 7) is not a solution.

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