The vertices of a rectangle in the standard (x,y) coordinate place are (0,0), (0,6), (8,0) and (8,6). If a line through (2,2) partitions the interior of this rectangle into 2 regions that have equal areas, what is the slope of this line?	Choose the correct choice from the following options:	A) 0	B) 2/5	C) 4/7	D) 1/2	E) 7/4
CONCEPT: The readers need to know that a rectangle can be divided into two equal area by a Straight line only when the straight line passes through the Centre of the Rectangle (Intersection of its two diagonals)Draw a figure and know it for yourself.   The point of Intersections of the diagonals will be the midpoint of any diagonal i.e. Midpoint of (0,0), and (8,6) OR Midpoint of (0,6) and (8,0)   i.e. Either [(0+8)/2, (0+6)/2] OR [(0+8)/2, (6+0)/2] =[4,3]   Slope of line passing through points (2,2) and (4,3) = (3-2)/(4-2) = 1/2   1/2
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The vertices of a rectangle in the standard (x,y) coordinate place are (0,0), (0,6), (8,0) and (8,6). If a line through (2,2) partitions the interior of this rectangle into 2 regions that have equal areas, what is the slope of this line?