Final answer:
Only the ordered pair A. (0,6) is a solution to the equation y = -2x + 6. This is determined by substituting the x-value into the equation and checking if the resulting y-value matches the one in the pair. All other provided pairs do not satisfy the equation.
Step-by-step explanation:
The student has asked to identify which of the given ordered pairs are solutions to the equation y = -2x + 6. We can find the solution by substituting the x-values of the ordered pairs into the equation and checking if the resulting y-value matches the one in the pair.
- (0,6): Substituting x = 0 gives y = -2(0) + 6 = 6. Since the y-value matches, this is a solution.
- (-1,4): Substituting x = -1 gives y = -2(-1) + 6 = 8, which does not match the y-value of 4, so this is not a solution.
- (-1,-4): Substituting x = -1 gives y = -2(-1) + 6 = 8, which does not match the y-value of -4, so this is not a solution.
- (3,12): Substituting x = 3 gives y = -2(3) + 6 = 0, which does not match the y-value of 12, so this is not a solution.
Therefore, the only ordered pair that is a solution to the equation is (0,6).