Answer:
Neither
Step-by-step explanation:
-12x + 3y = 3
y = 4x + 1
y = mx + b
The second equation given is set up in the correct form already (y = 4x + 1)
We have to convert the first equation into the same format
-12x + 3y = 3
Isolate the y
3y = 3 + 12x
Divide the 3 from the y and the other side
y = 1 + 4x
y = 4x + 1
This is the same as the first equation
They can only be parallel if their slope (m or 4 in this case) is the same and their y-intercepts (b or 1 in this case) are different. Since the equations are the exact same and do not fit the y-intercept criteria for parallel, they cannot be parallel. If they were perpendicular, their lines must cross. This means they have to contain reciprocals or opposite slopes. Our slope here for both of them is 4 or 4/1. Since neither are the opposite (which would be 1/4), it is not perpendicular. Therefore, the answer is neither
