Do it like this.. find the mirror point of (3,2) considering the line 6x+7y=30 as a mirror plane and use (h,k) as a variable point on the line. then find the perpandicular distance of the point (3,2) from the line and equate it to the distance of (h,k) to the point (2h-3,2k-2) which is derived from the section formula.
Hope u get it
rate me..