A geometry problem by Madhavarapu Revanth

A(2,4) and B(3,4) are two points on coordinate plane.Point C lies on the line x-y=2 such that area of triangle ABC ,i.e.,(ABC)=3 sq.units.Also,point C lies on the half plane x+y less than or equal to 20.Point D lies on axis of X such that line BD divides triangle ABC into two halves in area.Points K,L and M are marked on lines AB,BC and AD respectively such that AK is to KB=1 is to 3 , BL is to LC=5 is to 3 and DM is to MA=4 is to 1.Now answer the question AB cuts x-axis at R.Slope of line passing through R such that the line cuts quadrilateral ABCD into two halves in area is