Given that the inclination angle of line L is equal to 3x + 4y-7 = 0, and the area of triangle enclosed by two coordinate axes is equal to 24, the equation of line L is obtained

Given that the inclination angle of line L is equal to 3x + 4y-7 = 0, and the area of triangle enclosed by two coordinate axes is equal to 24, the equation of line L is obtained

The slope of the line 3x + 4y-7 = 0 is - 34, so the slope of the line L is - 34. Let the equation of the line l be y = - 34x + B, let y = 0, then x = 43b, let x = 0, then y = B. since the area of the line and the two axes is 24, then s = 12|b|·|43b| = 24, then B = ± 6, so the equation of the line L is y = - 34x ± 6