What is Line: Defination
A line is defined as the fundamental geometric concept that extends infinitely in both directions. A line is a one dimension with zero width and thickness. A line can be viewed as a straight, continuous path that has a particular direction and extends indefinitely.
A line is an abstract object that does not exist physically. If a line has length in thousands it can not be represented in ordinary numbers so it should be converted to standard form. Standard form of a number can be calculated by a standard form calculator.
In geometry line is a fundamental concept which is used to describe and analyze the relationship between points, shapes and equations in various mathematical disciplines. A line can have various types such as straight line, horizontal line or vertical one.
Type of Lines
A line is classified on the basis of their properties and equations here are few common example of line to be used in mathematics:
The most basic and simplest form of line is straight line. It can be described by an equation in two dimensions (x,y) as y=mx+b here m is the slope of line and b is y-intercept. Y-intercept is the point where lines intersect the y-axis.
Horizontal line is one in which the slope of a line is zero. Equation of horizontal line is written as x= constant where constant represents the y-coordinate of any point on line.
Just like the horizontal line, the vertical line is opposite of it . its slope is infinite or undefined. It is written in form x=constant, where constant represents the x-coordinate of any point on line.
Two lines are said to be parallel that lie in the same plane and they never intersect with each other. They have the same slope but their y-intercepts are different.
The parallel lines of equation are in form y=mx+b where m is the slope and b is the y-intercept.
Two lines are said to be perpendicular if they form an angle of 90 degree. The product of their slope is -1. For example if equation of one line is y=m1x+b1 then other line equation will be y=(-1/m)*x+b2 where b1 and b2 are y-intercepts respectively.
A ray has an endpoint but it extends infinitely in one direction. It starts at a single point and goes to infinity. It is described as a single endpoint and a direction.
A line segment is defined as the portion of a single line with two endpoints. It is finite in length. Here are common example of line segment to be observed in classroom:
- A pen/pencil: A pen or pencil has finite fix length of about 15-20 cm.
- A tubelight: It is also straight and has fix length of about 3-5 feet.
- The edge of the book/blackboard: All the shapes of the book or blackboard are rectangular and one of its sides is called a line segment of fixed length.
- A scale: A scale is used to draw straight line it is usually of 15 to 30 cm.
These are few examples of lines with different properties and these play an important role in Geometry, Algebra and other Mathematical fields. These lines are helpful in knowing the relationship between points, shapes and equations which are essential in problem-solving and mathematical proofs. A line segment with very high units can be expressed in standard form which is calculated by standard form calculator.