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

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

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

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

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

Answer 1

To determine which of the given 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.

Let's check each option:

1. **For (3, 7):**
- Substitute \( x = 3 \):
\[
y = 4(3) + 2 = 12 + 2 = 14
\]
- The ordered pair (3, 7) does not satisfy the equation.

2. **For (3, 14):**
- Substitute \( x = 3 \):
\[
y = 4(3) + 2 = 12 + 2 = 14
\]
- The ordered pair (3, 14) satisfies the equation.

3. **For (3, 12):**
- Substitute \( x = 3 \):
\[
y = 4(3) + 2 = 12 + 2 = 14
\]
- The ordered pair (3, 12) does not satisfy the equation.

4. **For (3, 45):**
- Substitute \( x = 3 \):
\[
y = 4(3) + 2 = 12 + 2 = 14
\]
- The ordered pair (3, 45) does not satisfy the equation.

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