Final answer:
The correct ordered pair that represents a solution to the equation y = -2x + 1 is option E (2, -3), as it is the only pair that satisfies the equation when the x-value is substituted into the equation.
Step-by-step explanation:
The student asked which ordered pair represents a solution to the equation y = -2x + 1. To find the correct ordered pair, we plug the x-values from each pair into the equation to see if the resulting y-value matches the one given in the pair.
- For option A (-2, 1), it appears to be a typo since the correct format is (x, y).
- For option B (-1, 1), we substitute x with -1: y = -2(-1) + 1 = 2 + 1 = 3, which does not match.
- For option C (0, 0), substitute x with 0: y = -2(0) + 1 = 1, which does not match.
- For option D (1, -2), substitute x with 1: y = -2(1) + 1 = -2 + 1 = -1, which does not match.
- For option E (2, -3), substitute x with 2: y = -2(2) + 1 = -4 + 1 = -3, which matches the y-value given in the pair.
Therefore, the correct ordered pair that represents a solution to the equation is option E (2, -3).