Find the linear equation perpendicular to 3x-4y-7 = 0, and the circumference of the triangle surrounded by two coordinate axes is 12

Find the linear equation perpendicular to 3x-4y-7 = 0, and the circumference of the triangle surrounded by two coordinate axes is 12

The line 3x-4y-7 = 0, k = 4 / 3, so the line K1 perpendicular to it = - 4 / 3. Let the line perpendicular to the line 3x-4y-7 = 0 be y = - 4 / 3x + A. when x = 0, y = A. when y = 0, x = 3 / 4A. So the perimeter of the triangle formed by the line y = - 4 / 3x + A and two coordinates is I a i + I 3 / 4A I + I radical (the square of 1 + 3 / 4) a i = 12