Question

Which of the following ordered pairs are solutions to the equation y = -2x + 6?

A. (0, 6)
B. (1, 4)
C. (-2, -2)
D. None of the above

Answer 1

The solutions to the equation y = -2x + 6 are the ordered pairs (0, 6) and (1, 4).

Step-by-step explanation:

To determine which ordered pairs are solutions to the equation y = -2x + 6, we substitute the x-coordinate of each ordered pair into the equation and see if the resulting y-coordinate matches the given y-coordinate. Let's check each option:

1. A. (0, 6): Substitute x=0 into the equation: y = -2(0) + 6 = 6. The y-coordinate matches, so this ordered pair is a solution.

2. B. (1, 4): Substitute x=1 into the equation: y = -2(1) + 6 = 4. The y-coordinate matches, so this ordered pair is a solution.

3. C. (-2, -2): Substitute x=-2 into the equation: y = -2(-2) + 6 = 10. The y-coordinate does not match, so this ordered pair is not a solution.
4. D. None of the above: This option is incorrect since both A and B are solutions.

Therefore, the solutions to the equation y = -2x + 6 are the ordered pairs A. (0, 6) and B. (1, 4).