Geometry problem - need help

[JulieD489]

I need help with this problem

a. How may lines can contain any two points P and Q and why?

Thank you

 

[Guest]

Assuming that length is not a concern then the answer is one line. Think about it - draw 2 points on a piece of paper and draw a line connecting them, can you do this any aother way?

 

[pka]

The statement, Two points determine a line. is an axiom in almost any axiomatic geometry. That means that it is a fundamental property of geometry that any two points determine a unique line.