Hi,

equation of a line perpendicular to a line that has a slope of -1/1 

 New Line:  m = 1

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.  

   y = 1*x + b  |passing through (-3,9)

   9 = -3 +b

  12 = b

Line is:  y = x + 12  

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