Finding the slope of parallel or perpendicular lines given the slope involves understanding that parallel lines have identical slopes and perpendicular lines have slopes that are negative reciprocals of one another. A line with a slope of \( m \) would, for instance, have a slope of \( m \) for lines parallel to it and `-\frac{1}{m}` for lines perpendicular to it. In algebraic and geometry problems, knowing these relationships is helpful.

Algebra 1

Linear Relationship