A line in geometry is a straight, one-dimensional figure that has length but no width or thickness and extends infinitely in both directions without endpoints. It is an idealized concept representing objects like a taut string or a ray of light
. Key characteristics of a line include:
- It is infinitely long and has no endpoints.
- It is perfectly straight with no curvature.
- It exists in one dimension and can be embedded in two, three, or higher-dimensional spaces
- It is uniquely determined by any two distinct points on it
Lines can be represented mathematically by linear equations such as ax+by=cax+by=cax+by=c, where aaa, bbb, and ccc are constants and aaa and bbb are not both zero. These equations describe all the points (x,y)(x,y)(x,y) that lie on the line
. There are different types of lines based on their orientation:
- Horizontal line: extends left to right, parallel to the horizon.
- Vertical line: extends top to bottom.
- Oblique line: slants diagonally, not horizontal or vertical.
- Curved line: has a bend or curve (not a straight line)
In summary, a line is a fundamental geometric concept representing an endless straight path defined by two points, with no thickness and infinite length
