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| Question 468316:  Indicate which of the following sets of lines are parallel, perpendicular, or neither. 3x + y = 5.   X + y = 3.
 Answer by algebrahouse.com(1659)
      (Show Source): 
You can put this solution on YOUR website! Parallel lines have the same slope. Perpendicular lines have slopes which are negative reciprocals.
 
 Slope-intercept form is y = mx + b
 m is the slope of the line
 b is the y-intercept of the line
 
 3x + y = 5
 y = -3x + 5 {subtracted 3x from both sides}
 slope = -3
 
 x + y = 3
 y = -x + 3 {subtracted x from both sides}
 slope = -1
 
 = neither
 These two lines are neither, parallel nor perpendicular, because
 the slopes are not equal, nor are they negative reciprocals.
 
 For more help from me, visit: www.algebrahouse.com
 
 
 
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