In coordinate plane, a variable point M, starting from the origin O(0,0), moves on the line l with slope k, where k is an irrational number.(i) Prove that point O(0,0) is the only rational point (namely, the coordinates of which are both rationals) on the line l.(ii) Prove that for any number ε>0, there exist integers m,n such that the distance between l and the point (m,n) is less than ε. analytic geometrygeometry