Line

posted on: 13 Apr, 2012 | updated on: 08 Jan, 2013

A line is a shortest path between the two points that is straight, infinitely long and thin. In the coordinate plane, the location of a line is defined by the points whose coordinates are known and through which the line passes to an infinitely long distance in both the direction. There are no end points in case of line.

A Ray joining which is used to join two points is also known as a line, it is a basic concept of elementary Geometry. Here we differentiate two words line and Line Segment. In the Line Segment the end points are included, and in case of line there is no endpoint.

If two distinct lines ‘A‘ and ‘B’, these two lines are intersects each other or both lines are parallel to each other. The two lines which intersect each other have a unique Point or represent a unique point i.e. the point of Intersection. And the intersection point lies on the lines.

In case of Parallel Lines there are no common points. Let you have 5 lines, than every line divides the line into two parts, which is known as rays. A piece of line is known as ray, which have only one end point. Rays are used in defining the angles.

The line which does not have any end is known as line segment. The line in geometry is the basic design tool. A line has length, width etc. It suggested a direction through which we can find the path easily. If we have a line and which is not straight, then the line usually known as a curve or arc.

In the plane geometry, line is used to indicate the Straight Line and the object which is straight, infinity times long are also known as line. A geometry line is always in one dimensional; its width is always zero. If we draw a line with the help of pencil then it shows that the pencil has a measurable width.

Topics Covered in Line

Equation of a Line From Two Points

posted on: 17 Jul, 2012 | updated on: 20 Dec, 2012

According to the theorem of Geometry, if two points lies in a plane then there is exactly one line that passes through the two points. So, to write line equation we need two points. The equation of line can be written as,

y = mx + c

where,
      'x' and 'y' are two vertices.
      'm' is Slope.
      'c' is y-intercept.

To calcula...Read More

Straight Line Components

posted on: 18 Jul, 2012 | updated on: 20 Dec, 2012

Line or the straight line can be used to represent basic Position of an object such as height, width and length of an object. When an object is placed in two dimensional space then Straight Line is used to measure height and length of this object. When an object is placed in three dimensional space then its height, length and the width are calculated using st...Read More

Intersecting Lines

posted on: 13 Apr, 2012 | updated on: 04 Jan, 2013

We come across various lines in our daily life while going for the assembly sessions in the school, while standing for the ticket on the ticket counter and many such places. The lines can be of following types: straig...Read More

Theorem (If two lines intersect, then they intersect in exactly one point)

posted on: 18 Apr, 2012 | updated on: 21 Dec, 2012

A theorem in Math can be regarded as a statement which is really true and a suitable proof of that fact can also be given.

Statement:
If two lines intersect, then they intersect in exactly one Point.

Proof:
To prove our theorem, we will take help of some of the statements which are already assumed t...Read More