Final answer:
The ordered pairs (0, -4) and (1, -4) are solutions to the equation y = -4, as they have the y-coordinate that matches the y-value in the equation. The pairs (-4, 0) and (-4, 1) are not solutions because their y-coordinates do not match the required y-value of -4.
Step-by-step explanation:
For the equation y= −4, we must find ordered pairs that satisfy this condition. An ordered pair is a solution if, when plugged into the equation, it makes the equation true. In this case, the y-coordinate must be −4, since that is what y equals in the equation.
- (0,−4) is a solution because the y-coordinate matches the y-value in the equation.
- (1,−4) is a solution for the same reason as the first pair; the y-coordinate is −4.
- (−4,0) is not a solution because the y-coordinate does not match the y-value in the equation (−4, in this case).
- (−4,1) is also not a solution because, again, the y-coordinate (1) does not match the required y-value (−4).
So, the ordered pairs that are solutions to the equation y=−4 are (0,−4) and (1,−4).