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).
3 answers