# Is #2y = 3x + 4# parallel to #-3x-2y=8#?

##### 1 Answer

Sep 21, 2016

No they are not parallel.

#### Explanation:

Manipulate both so that they are in the form

Where

'.................................................................................................

Consider

Divide both sides by 2

'..........................................................................................................

Consider

Multiply both sides by

Subtract

Divide both sides by 2

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

In one case the gradient is

In the other case the gradient is

As the gradients are different they are NOT parallel