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:

• Analyze Option A: A point (not a line) has zero dimensions as it represents a location. So A is incorrect.
• Analyze Option B: A line is defined as a set of points extending infinitely in one direction (or two opposite directions along a straight path), and it has one dimension (length). This matches the definition of a line's dimension.
• Analyze Option C: A plane (not a line) is related to three non - collinear points, and a line has only one dimension, not two. So C is incorrect.
• Analyze Option D: The number of labeled points on a line does not change its fundamental dimension, which is one. So D is incorrect.

Answer:

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