SOLUTION: Without graphing a problem, how can you tell if two equations are parallel, perpendicular, or neither? The specific equations I am trying to figure out are 3x-5y=12 and 5x+3y=24

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: Without graphing a problem, how can you tell if two equations are parallel, perpendicular, or neither? The specific equations I am trying to figure out are 3x-5y=12 and 5x+3y=24       Log On


   



Question 1089828: Without graphing a problem, how can you tell if two equations are parallel, perpendicular, or neither? The specific equations I am trying to figure out are 3x-5y=12 and 5x+3y=24

Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
Two lines are parallel if they have the same slope.
Two lines are perpendicular if their slopes are negative inverses: +m%5B2%5D+=+%28-1%29%2Fm%5B1%5D+

Put the lines in the form y = mx + b by rearranging the equations, and compare 'm' values.