The vertices of a rectangle in the standard (x,y) coordinate place are (0,0), (0,6), (12,0) and (12,6). If a line through (1,1) partitions the interior of this rectangle into 2 regions that have equal areas, what is the slope of this line?	Choose the correct answer.
A) 1/2	B) 2/3	C) 1/4	D) 2/5	E) 5/12
We should know that a rectangle can be divided into two equal areas by a straight line only when the straight line passes through the center of the rectangle.   The center of the rectangle is the point (6,3).   The slope of line passing through points (1,1) and (6,3) = (3-1)/(6-1) = 2/5   The answer is 2/5.
<result>D</result>
The vertices of a rectangle in the standard (x,y) coordinate place are (0,0), (0,6), (12,0) and (12,6). If a line through (1,1) partitions the interior of this rectangle into 2 regions that have equal areas, what is the slope of this line?