In the xy-plane, consider the L-shaped region bounded by horizontal and vertical segments with vertices at (0,0),(0,3),(3,3),(3,1),(5,1) and (5,0). The slope of the line through the origin that divides the area of this region exactly in half is
[asy]
size(200);
Label l;
l.p=fontsize(6);
xaxis("x",0,6,Ticks(l,1.0,0.5),EndArrow);
yaxis("y",0,4,Ticks(l,1.0,0.5),EndArrow);
draw((0,3)--(3,3)--(3,1)--(5,1)--(5,0)--(0,0)--cycle,black+linewidth(2));[/asy]
<spanclass=′latex−bold′>(A)</span>72<spanclass=′latex−bold′>(B)</span>31<spanclass=′latex−bold′>(C)</span>32<spanclass=′latex−bold′>(D)</span>43<spanclass=′latex−bold′>(E)</span>97