Python: given a plane equation draw a subset of points that belong to it
For a plane a simple approach that would work is

pick a coefficient that's not 0 (let's suppose is c)
pick random values for the other two coordinates (x and y in this case)
compute z with (d - ax - by)/c
As the title say, let's assume I have a plane equation:

ax+by+cz=d    (e.g. -4x + 5y + 9z = -9)

I want to draw n random points (let's say 500) that belong to that plane.
Can somebody help me with that?
I saw that from mpl_toolkits import mplot3d has the function plot_surface(x,y,z) but (as it says) it plots the surface equation and this is not what I need.
Any help is really appreciated.