Parallel and Perpendicular Lines

Parallel lines are lines whose slopes are the same; Perpendicular lines are lines whose slopes are negative reciprocals (in other words, the product of their slopes is negative 1.)
For example, given the line  , determine that  and .  If given the line , solving for y, would result in  and find that  and .  Since the slopes are the same, these lines are parallel.
Compare these lines to the line -6x -4y = 16 .  Solving for y, would result in  and find that  and .  This line would be perpendicular to the other lines since the product of their slopes equals negative 1 … .

General Algebra Tips

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This page was edited on 13-Sep-2011