Question

Decide which of the ordered pairs are solutions for the equation: y = 4x + 2
A. (-2, -6)
B. (-1, 0)
C. (-2, 6)
D. (0, 2)

Answer 1

To determine which of the ordered pairs are solutions to the equation \( y = 4x + 2 \), we need to substitute the x-coordinate from each pair into the equation and see if the resulting y-value matches the y-coordinate from the pair.

**A. (-2, -6)**
- Substitute \( x = -2 \):
\[
y = 4(-2) + 2 = -8 + 2 = -6
\]
- The ordered pair is \((-2, -6)\). This is a solution.

**B. (-1, 0)**
- Substitute \( x = -1 \):
\[
y = 4(-1) + 2 = -4 + 2 = -2
\]
- The ordered pair is \((-1, 0)\). This is not a solution.

**C. (-2, 6)**
- Substitute \( x = -2 \):
\[
y = 4(-2) + 2 = -8 + 2 = -6
\]
- The ordered pair is \((-2, 6)\). This is not a solution.

**D. (0, 2)**
- Substitute \( x = 0 \):
\[
y = 4(0) + 2 = 0 + 2 = 2
\]
- The ordered pair is \((0, 2)\). This is a solution.

The solutions are **A. (-2, -6)** and **D. (0, 2)**.