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 which ordered pairs are solutions for the equation \( y = 4x + 2 \), we will substitute the x-value of each ordered pair into the equation to see if the resulting y-value matches the y-value of the ordered pair.

1. For the pair \((-2, -6)\):
\[
y = 4(-2) + 2 = -8 + 2 = -6
\]
This matches the given y-value, so \((-2, -6)\) is a **Solution**.

2. For the pair \((-1, 0)\):
\[
y = 4(-1) + 2 = -4 + 2 = -2
\]
This does not match the given y-value, so \((-1, 0)\) is **Not A Solution**.

3. For the pair \((-2, 6)\):
\[
y = 4(-2) + 2 = -8 + 2 = -6
\]
This does not match the given y-value, so \((-2, 6)\) is **Not A Solution**.

4. For the pair \((0, 2)\):
\[
y = 4(0) + 2 = 0 + 2 = 2
\]
This matches the given y-value, so \((0, 2)\) is a **Solution**.

To summarize:
- **Solutions**: \((-2, -6)\), \((0, 2)\)
- **Not A Solutions**: \((-1, 0)\), \((-2, 6)\)