a line.
A plane.
infinite
plane
A plane.
A line.
a line.
A plane.
what is a set of points that is endless in both directions
line
A plane has no endpoints. It is an endless two-dimensional field. ■
One.
There is exactly one line that can pass through two distinct points. This line is uniquely determined by the two points.
what is a set of points that is endless in both directions
In classical or Euclidean plane geometry two points defines exactly one line. On a sphere two points can define infinitely many lines only one of which will represent the shortest distance between the points. On other curved surfaces, or in non-Euclidean geometries, the number of lines determined by two points can vary. Even in the Euclidean plane, two points determine infinitely many lines that are not straight!
As long as at least two of them are different points, exactly one line.
A Line ;)