Given that the slope of the line L is 16, and the line and the two coordinate axes form a triangle with an area of 3, then the equation of the line L is______ ．

Given that the slope of the line L is 16, and the line and the two coordinate axes form a triangle with an area of 3, then the equation of the line L is______ ．

From the meaning of the question, let the equation of the line l be y = 16x + B. obviously, the intersection points of the line and the two coordinate axes are (0, b), (- 6B, 0) respectively. Then form a triangle with an area of 3 by the line and the two coordinate axes, we can get 12 | B · | - 6B | = 3, and the solution is & nbsp; b = ± 1, so the equation of the line is y = 16x ± 1, that is X -