Given that the area of the triangle formed by the line L passing through the point P (- 5,4) and the positive half axis of the two coordinate axes is 5, the equation of the line L is obtained,

Given that the area of the triangle formed by the line L passing through the point P (- 5,4) and the positive half axis of the two coordinate axes is 5, the equation of the line L is obtained,

Since it intersects with the positive half axis of the coordinate axis, then the slope of the line K0, b > 0, and ab = 10
If a straight line crosses (- 5,4), then (- 5) / A + 4 / b = 1 = = > > - 5B + 4A = AB = 10 = = > > 4a-5b = 10
ab=10
The solution is a = 5, B = 2
The linear equation is x / 5 + Y / 2 = 1, that is, 2x + 5y-10 = 0