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 to the equation \( y = 4x + 2 \), we can substitute the \( x \) values from each ordered pair into the equation and check if the resulting \( y \) equals the \( y \) value given in the ordered pair.

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

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

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

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

So, based on the calculations:
- Solutions: \((-2, -6)\) and \((0, 2)\)
- Not Solutions: \((-1, 0)\) and \((-2, 6)\)