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 of the ordered pairs are solutions for the equation \( y = 4x + 2 \), we will substitute the \( x \) value of each ordered pair into the equation and check if the computed \( y \) value matches the \( y \) value given in the ordered pair.

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

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

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

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

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