How many distinct points lie on a straight line?

Concept

In Euclidean geometry, a line is a continuous one-dimensional set that extends without endpoints in both directions. Between any two distinct points on a line, another distinct point can always be chosen, so a finite list can never exhaust its points.

Application

Applying this property to the stated straight line, every pair of its points has further points between them. Repeating this construction shows that the line contains infinitely many distinct points.

Contrast

• The value 2 is the minimum number of distinct points needed to determine a unique line; it is not the total number of points on that line.

• The value 0 would describe an empty set, not a geometric line containing points.

• The value 1 describes a single marked point, not the entire line through it.

Result

Therefore, the number of distinct points lying on a straight line is infinitely many.