Given that the line L is parallel to the line 3x + 4Y = 0 and the area of the triangle surrounded by the two coordinate axes is 24, then the linear equation is?

Given that the line L is parallel to the line 3x + 4Y = 0 and the area of the triangle surrounded by the two coordinate axes is 24, then the linear equation is?

Because it is parallel to the line 3x + 4Y = 0, we can assume that the linear equation is 3x + 4Y = K
Then we can see that the intercept with the two axes is | K / 4 | and | K / 3 | so the area = (k ^ 2) / 24
That is, (k ^ 2) / 24 = 24 = > k = 24 or - 24
So the linear equation is 3x + 4Y = 24 or 3x + 4Y = - 24