Question

Are the lines 3x+4y=-12 and 6x+2y=6 parallel?

Answer 1

no, the two lines have different slopes

Answer 2

Hi

two lines are parallel only if they have the same slope.

So : 3x+4y = 12

4y = 12 -3x

y = 12/4 - 3x/4

y = 3 - 3/4 X

y = -3/4 X +3

Slope is -3/4

and 6x+2y = 6

2y = 6 -6x

y = 6/2 - 6x/2

y = 3 - 3X

y = -3X +3

Slope is = -3

As -3/4 ≠ -3 then the two lines are not parallel.