how do you know if they are eaither parallel or perpendicular

6x+3y=12
2x+2y=4

put in the form y = m x + b

then m is the slope

3 y = -6 x + 12
2 y = -2 x + 4

y = -2 x + 4
y = -1 x + 2

-2 is not - 1 so not parallel

-2 is not -1/-1 so not perpendicular