Question

Decide which of the ordered pairs are solutions for the equation y = 4x + 2
(-2, -6)
(-1, 0)
(-2, 6)
(0, 2)

Answer 1

To determine which ordered pairs are solutions for the equation \( y = 4x + 2 \), we need to substitute the x-value from each pair into the equation and see if it results in the corresponding y-value.

1. For the pair \((-2, -6)\):
\[
y = 4(-2) + 2 = -8 + 2 = -6
\]
This pair is a solution.

2. For the pair \((-1, 0)\):
\[
y = 4(-1) + 2 = -4 + 2 = -2
\]
This pair is **not** a solution.

3. For the pair \((-2, 6)\):
\[
y = 4(-2) + 2 = -8 + 2 = -6
\]
This pair is **not** a solution.

4. For the pair \((0, 2)\):
\[
y = 4(0) + 2 = 0 + 2 = 2
\]
This pair is a solution.

In summary, the ordered pairs that are solutions for the equation \( y = 4x + 2 \) are:
- \((-2, -6)\)
- \((0, 2)\)