It is known that the four vertices of the quadrilateral ABCD are a (4,5), B (1,1), C (5,3) d, (8,7). The line L passes through P (- 1, - 2) and bisects the area of the quadrilateral ABCD,

It is known that the four vertices of the quadrilateral ABCD are a (4,5), B (1,1), C (5,3) d, (8,7). The line L passes through P (- 1, - 2) and bisects the area of the quadrilateral ABCD,

If we want to find the function analytic expression of L, the idea is as follows:
Firstly, the given points are determined in the coordinate system, and it is known that ABCD is a parallelogram. Then the s-quadrilateral is divided into two parts by the line passing through the intersection of the diagonal lines of the parallelogram. The analytic expressions Y1 and Y2 of the functions of the two diagonals are calculated. The focus is Y1 = Y2. By substituting the coordinates of the focus and knowing P, the analytic expression of l can be obtained. L = 12 / 11x-10 / 11