Question

Decide which of the ordered pairs are solutions for the equation y=4x+2
.(4 points)
Solution Not A Solution
(−2, −6)


(−1, 0)


(−2,6)


(0, 2)

Answer 1

To determine whether each ordered pair \((x, y)\) is a solution to the equation \(y = 4x + 2\), we will substitute the \(x\) value from each pair into the equation and see if it yields the corresponding \(y\) value.

1. **For the pair \((-2, -6)\)**:
- Substitute \(x = -2\):
\[
y = 4(-2) + 2 = -8 + 2 = -6
\]
- The output matches the \(y\) value in the pair. **Solution**.

2. **For the pair \((-1, 0)\)**:
- Substitute \(x = -1\):
\[
y = 4(-1) + 2 = -4 + 2 = -2
\]
- The output does not match the \(y\) value in the pair. **Not a solution**.

3. **For the pair \((-2, 6)\)**:
- Substitute \(x = -2\):
\[
y = 4(-2) + 2 = -8 + 2 = -6
\]
- The output does not match the \(y\) value in the pair. **Not a solution**.

4. **For the pair \((0, 2)\)**:
- Substitute \(x = 0\):
\[
y = 4(0) + 2 = 0 + 2 = 2
\]
- The output matches the \(y\) value in the pair. **Solution**.

### Summary:
- **Solutions**: \((-2, -6)\), \((0, 2)\)
- **Not Solutions**: \((-1, 0)\), \((-2, 6)\)