We saw that two points in R2 determine a line and three points in R3 determine a plane. Moreover, we have ways of determining the equations of these objects. If we have four points in R4 so that no three of them are on the same line and they aren't all on the same plane then they determine a hyperplane ax by cz dw = e. Find a way to determine the equation of a hyperplane on 4 points in R4 and then find the equation of the hyperplane passing though (1,1, 0, 1), (2, 2, 2, 2), (7, 0, 1, 0), and (0, 1, 0, 0)