For this case we have to by definition:
If two lines are parallel then their slopes are equal.
If two lines are perpendicular then the product of their slopes is equal to -1.
We have the following equations:
We manipulate the equation to convert it into the slope-intersection form
Where:
m: It's the slope
y: It is the cut-off point with the y axis.
So:
From the second equation given we have:
We manipulate:
It is observed that the slopes are equal, so the lines are parallel,
ANswer:
The lines are parallel.