# Collinear points

Are the points (1,0) and (0,1) collinear?

## Answers and Replies

fresh_42
Mentor
Are the points (1,0) and (0,1) collinear?
What is a line to you?

Stephen Tashi
Science Advisor
Are you asking if (1,0) and (0,1) are collinear with each other ? - or did you intend to ask a different question?

What is a line to you?
Combination of collinear points

Are you asking if (1,0) and (0,1) are collinear with each other ? - or did you intend to ask a different question?
Same as you understood

fresh_42
Mentor
Combination of collinear points
To say what colinear is, you first have to say what linear is, in this case a line. You cannot define colinear by line and line by colinear at the same time. In this case they would be equivalent and the answer would be trivially yes. So in order to get some meaning to the question, you have to put some truth in it somewhere. That's why I asked, what a line is to you. How can I answer a question about colinear points, if it isn't clear what a line is?

Ok what is a line then

jedishrfu
Mentor
Ok what is a line then

I think you need to answer this first before @fresh_42 can answer your posted question.

mathman
Science Advisor
Two points define a straight line. So the original question is trivially answered by yes. Usually when asking about collinear, the question involves more than two points.