y = -x - 2
To check if an ordered pair is a solution to the equation, we have to replace the value of one variable and compute the other variable, as follows:
x = 1
y = -1 - 2
y = -3
Then, (1, -3) is a solution to the equation
x = -2
y = -(-2) - 2
y = 2 - 2
y = 0
Then, (-2, 0) is a solution to the equation
x = 4
y = -4 - 2
y = -6
Then, (4, -1) is not a solution to the equation
x = 0
y = -0 - 2
y = -2
Then, (0, 2) is not a solution to the equation, and (0, -2) is a solution to the equation