So because it says NOT a way....I think it's A...Maybe I'm wrong but whatever.
Answer: y = 
Step-by-step explanation:
x+6y=12
6y=-x+12
y=-
+ 2
If its parallel it means that the slope will be the same
y = mx + b
-4 = -1/6 * (-6) + b
b = -5
Thus,
y = -1/6 x - 5
we have

Group terms that contain the same variable, and move the constant to the opposite side of the equation

Factor the leading coefficient

Complete the square. Remember to balance the equation by adding the same constants to each side


Rewrite as perfect squares

-----> equation in vertex form
therefore
the answer is the option C
