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| Question 367329:  decide whether the pair pf lines are parallel,perpendicular,or neither
 5x+3y=7
 3x-5y=5
 Answer by tutorcecilia(2152)
      (Show Source): 
You can put this solution on YOUR website! First, I would define the rules:  Parallel lines have the same slope; perpendicular lines have "egative reciprocal"slopes. Next, convert each line into the slope-intercpt formate y-mx+b. 5x+3y=7
 3y=-5x+7
 3y/3=-5/3x+7/3
 So the slope is -5/3
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 3x-5y=5
 -5y=-3x+5
 -5y/-5=(-3/-5x)-5/5
 y=3/5x-1
 so, the slope is 3/5
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 Since the slopes are the "negative reciprocals" of each other, they are __________________?
 
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