Question

Let A=(0,0), B=(2,4), C=(17,4) and D=(15,0). Then ABCD is a parallelogram. A line through the point (0,−1) divides the parallelogram into two regions of equal area. The slope of this line can be written as a/b where a and b are positive coprime integers. Find a+b.

Answer 1

Find the slope of the line that joins (0,-1) and the centroid of the parallelogram which is (8.5,4), or the mean of all the coordinates.

Answer 2

no, answer is not coming from the above data.

Answer 3

correct answer is something else