what is the minimum number of points in affine plane. what is minimum number of points in affine plane,
By the way: Here are the $\textbf{Three Axioms}$ for affine plane.


*

*Given two distinct points $\textbf{P}$ and $\textbf{Q}$, there is only one line  passing through them

*Given a point $\textbf{P}$ and a line $\textit{l}$, if $\textbf{P}\not\in\textit{l}$,
there is only one line passing through point $\textbf{P}$ and parallel to line $\textit{l}$

*There exist three points $\textbf{P}$, $\textbf{Q}$, $\textbf{R}$ non-collinear

HINT: If $K$ is any field, the vector space $V=K^2$ has always the structure of affine plane.
Now take for $K$ the smallest field you know.
