Question

Is each line parallel, perpendicular, or neither parallel nor perpendicular to the line −2x+3y=12?

Drag each choice into the boxes to correctly complete the table.

Parallel Perpendicular Neither


-2x+y=12
3x+2y=-2
y=2/3x-1
-2x+3y=11

Answer 1

I like to compare them all the same. Put all the equations in slope intercept form y=mx+b

So you need to isolate y.

Explanation:

Main equation to compare y=2/3x + 4

If they have the same slope they are parallel. If they have opposite reciprocal slopes then they are perpendicular.

First one is y=2x +12 neither

Second one is y= -3/2x -1 perpendicular

Third one is y= 2/3x - 1 parallel

Forth one is y= 2/3x + 11/3 parallel