Decide which of the ordered pairs are solutions for the equation y = 4x + 2

(-2, -6)
(-1, 0)
(-2, 6)
(0, 2)

1 answer

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:

  • \((-2, -6)\)
  • \((0, 2)\)