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Hi,
Using the standard slope-intercept form for an equation of a line y = mx + b
  where m is the slope and b the y-intercept. 
 Which of the following is an equation of a line perpendicular to y= x-1 
y= x-1   slope m = 1
Perpendicular lines have slopes that are negative reciprocals of one another...
 Any line with slope m = -1 would be Perpendicular. 
Selection E has slope m = -1