Question

-6y=-3x+2 -3y=6x-1
parallel
perpendicular
neither

Answer 1

put your equations in y = mx + b form and compare the slopes(m).

-6y = -3x + 2
y = 1/2x - 1/3
slope = 1/2

-3y = 6x - 1
y = -2x + 1/3
slope = -2

parallel lines will have same slope.
perpendicular lines will have negative reciprocal slopes....all that means is " flip " the slope and change the sign.

1/2 and -2 are negative reciprocals...these lines are perpendicular

Answer 2

oh and thank you :)