Line Segment Dividing Rectangle Area

Let R be a rectangle given by the line x=0,x=2,y=0 and y=5. Let A(α,0) and B(0,β),α∈[0,2] and β∈[0,5], be such that the line segment AB divides the area of the rectangle R in the ratio 4:1. Then, the midpoint of AB lies on a :