I want to share this with the class.
This is regarding coordinate geometry, perpendicular lines.
We should interchange the coefficients and change one sign to find the equation of the line through a given point and perpendicular to the line. In that case we will have two possible answers (one positive and one negative).
For example: (-3, 4) , 5x -2y =3
Scenario 1 : 2x+5y = 14
Scenario 2 : -2x-5y = -14
Both scenarios plot the same line(same equation) extending over different quadrants.