Question

On a line are given n segments each pair of which intersect. prove that there is a point that belongs to all n segments

Answer 1

Each segment forms a new piece of the line L that continue forever. This line L is defined by y=mx+b by definition, using two points on any segment. If P is a point on L, then it lies on one of the segment but again these segments are L so P is on L iff it belonfs to all n segments. did u make this questionup