Question

Select the postulate that states a line is determined by two points.

Postulate 1: A line contains at least two points.
Postulate 1a: A plane contains at least three points not all on one line.
Postulate 1b: Space contains at least four points not all on one plane.
Postulate 2: Through any two different points, exactly one line exists.
Postulate 3: Through any three points that are not one line, exactly one plane exists.
Postulate 4: If two points lie in a plane, the line containing them lies in that plane.
Postulate 5: If two planes intersect, then their intersection is a line.

Answer 1

Postulate 5: If two planes intersect, then their intersection is a line.

i got it right when i took the quiz

Answer 2

Postulate 2

Explanation:

Postulates related to the line determined by two points are postulates 1, 2 and 4.

Postulate 1 supposes that line is already given, but in your question line is not given - it must be determined.

Postulate 2 is the correct option, because it says that through any two different points, exactly one line passes.

Postulate 4 determines the position of the line passing through these points, not its existence.