A line in geometry is a straight one-dimensional figure that extends infinitely in both directions without any thickness or curvature. It has no endpoints, meaning it goes on forever, and it is considered to have length but no width or depth
. Key characteristics of a line:
- It is straight, with no bends or curves.
- It has no thickness.
- It extends infinitely in both directions.
- It is defined by any two points lying on it.
- It is one-dimensional, meaning it only has length.
A line differs from related concepts:
- A line segment is a part of a line bounded by two endpoints.
- A ray has one endpoint and extends infinitely in one direction.
Lines can be classified by their orientation:
- Horizontal lines run left to right.
- Vertical lines run top to bottom.
- Oblique lines are slanted and neither horizontal nor vertical.
Mathematically, a line in two dimensions can be represented by equations such as the slope-intercept form y=mx+cy=mx+cy=mx+c, where mmm is the slope and ccc is the y-intercept
. In summary, a line is an idealized, infinite straight path with no thickness that extends endlessly in both directions
