Question

The vertices of a rectangle in the standard (x,y) coordinate place are (0,0), (0,4), (7,0) and (7,4). 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?

A. 0
B. 2/5
C. 4/7
D. 1
E. 7/4

Answer 1

The answer is A

Explanation:

The rectangular has a height of 4 unit and has a width of 7 units. Area of the rectangular is:

`4*7=28`

28 unit square.

The point of (2,2) is on the middle height of rectangular shape. The point has 2 unit distance to base and ceiling of the rectangular.

The line y=2 is passing thought on (2,2) and also divides rectangular into two rectangular which have 14 unit square area.

Therefor, the slope is 0