Parallel lines have the same slope but different intercepts. Perpendicular lines have slopes that are opposite reciprocals of one another. Therefore, to determine if the lines are parallel, perpendicular, or neither, we first need to find their individual slopes using the Slope Formula.
Lines and have the same slope, but different intercepts. Therefore, they are parallel. Meanwhile, the slopes of lines and are opposite reciprocals, so they are perpendicular.