In the slope-intercept form the equation of the line L can be rewritten as y=-2x+3.  The slope of line L is  thus seen to be -2.

 

Since the product of slopes of any two perpendicular lines is -1, the slope of line perpendicular to L would be ½.

 

As the perpendicular line passes through the point A (-2,1), Its equation in slope-point form  would be y-1 = ½  (x+2). This can  written in slope intercept form also as follows:

 

y-= ½ x+2

                                          ***