The equations are and 

The line equation in slope-intercept form is .

where  is the slope and  is the -intercept.

Find the slope.

Here, the slope is .

Write the second equation in slope-intercept form.

                                (Original equation)

          (Subtract from each side)

                            (Apply additive inverse property : )

Find the slope.

.

Here, the slope is .

Slope of the first equation is .

Slope of the second equation is .

If two lines are parallel, their slopes must be equal. (Or)

If two lines are said to be perpendicular,the product of their slopes is equal to .

Here in this case the two slopes are equal, hence they are parallel.

The lines are parallel.