Show your work. Is (2, 12) a solution to the equation y = -6x? Choose the correct answer.
a) yes
b) no
To determine if (2, 12) is a solution to the equation y = -6x, we substitute the values of x and y from the ordered pair into the equation and see if both sides are equal.
For (2, 12):
-6(2) = -12
Since -12 is not equal to 12, the equation is not satisfied. Therefore, (2, 12) is not a solution to the equation y = -6x.
The correct answer is b) no.
To determine if (2, 12) is a solution to the equation y = -6x, we substitute the values of x and y into the equation and check if the equation is true. Let's substitute the values:
x = 2
y = 12
Substituting these values into the equation y = -6x:
12 = -(6)(2)
12 = -12
Since the equation is false when substituting (2, 12) into it, the correct answer is b) no.