Determine whether equation is parallel or perpendicular or neither 9x+3y = 12 and 12x + 4y = 7

The standard linear equation is y=mx+b

To be perpendicular the slope (m) has to be a negative.

reciprocal (2 and - 1/2)

To be parallel the slope (m) has to be equal.

So put the equations in standard for

First you get:

3y=-9x+12 and

4y=-12x+7

You then have to divide the terms in front of the y's. You have to divide.

You get:

y=-3x+4 and

y=-3x+7/4

The - 3's are the slopes (m)

-3=-3 so:

The lines are parallel