Given parameters: 
Equation of the line given  2x - 7y = 13 
Coordinates of points = -3, 8
 Unknown: 
Equation of a line perpendicular = ? 
Solution; 
  To find the equation of this line, simply find the negative inverse of the given line. 
          m  = 
           2x - 7y = 13 , this is an equation of a straight line
   let us write it in the form y = mx + c so as to derive the slope
         y and x are coordinates
          m is the slope
         c is the y intercept
   2x - 7y = 13; 
         -7y = -2x + 13 
   divide through by -7; 
              y =  +
 +  
 
 The slope of this line is  ;
; 
            Now the slope of a line perpendicular to it will be  ;
; 
   the equation of the line will be; 
         y  = 
Since the coordinate of this line is (-3,8) , let us find C;
      y  = 8 and x = -3; 
      8  =  (-3) + C
 (-3) + C 
          multiply through by 2; 
  
     16 = 21 + 2C 
     16 - 21  = 2C
       -5 = 2C 
         C  =  
 
Now the equation of the line is; 
               y  = 