The points are given as the rows of a matrix and the coordinates of the points as the columns of the matrix. This simple function then determines if the given points lie on a common line or not. Works for any dimension and for any number of points. Instead of using the determinant, the stable rank function is used in the code. The algorithm behind it can be found here:
https://en.wikipedia.org/wiki/Collinearity#Collinearity_of_points_whose_coordinates_are_given