Question

which best describes the dimensions of a line?
a line has zero dimensions because it represents a location on the coordinate plane
a line has one dimension because it is made up of all points that extend infinitely in either direction
a line has two dimensions because it is made up of three noncollinear points
a line has multiple dimensions depending on how many labeled points it contains

Explanation:

Step1: Analyze Option A

A point has zero dimensions (represents a location). A line is not a point. So, Option A is wrong.

Step2: Analyze Option B

A line is defined as a set of points that extend infinitely in two opposite directions. It has length (one - dimensional). This is correct.

Step3: Analyze Option C

Three non - collinear points form a plane (two - dimensional). A line is not formed by three non - collinear points. So, Option C is wrong.

Step4: Analyze Option D

The dimension of a line is fixed (one - dimensional). It does not depend on the number of labeled points. So, Option D is wrong.

Answer:

B. A line has one dimension because it is made up of all points that extend infinitely in either direction