How do you write an equation of a line passing through (3, -5), perpendicular to # 2x + 3y = -5#?
Let the given point be
Write this in standard form of:
where m is the gradient (slope).
So for this line the gradient (m) is
The gradient of the line perpendicular to this is
Thus the perpendicular line equation is:
We know that this line passes through the point