Without graphing the lines to the equations, given any two linear equations explain how you can tell if the lines of the two equations are parallel.

To check whether the two lines are parallel or not, without using graphing, first we write them in slope intercept form , which is

Now we compare the slopes of both lines and if the slopes are equal, then the lines are parallel .

So without graphing, we can also check whether the given lines are parallel or not .