Theory:

Number line:
 
car1.PNG
 
In the above number line, the position of point \(P\) can be represented as \(6\) units with the reference of origin to one line (horizontal line).
 
A similar rule applies to the negative side of the number line as well. It is possible to represent the position of a point with reference to more than one point.

Descartes invented the idea of placing two such number lines perpendicular to each other on a plane and locating points on the plane by referring them to these lines.
 
The perpendicular lines may be in any direction. But, when we choose these two lines to locate a point in a plane in this chapter, one line will be horizontal, and the other will be vertical, as below.
 
Screenshot 2020-09-30 115524.png
 
Cartesian system:
  • It is a co-ordinate number system which is used to describe the position of a point in two dimensions(\(x\)-axis and \(y\)-axis).
  • The representation of the position of a point in a number line will be the distance of the point from the origin in the \(x\)-axis, the distance of the point from the origin in the \(y\)-axis.
Co-ordinate axes:
The plural form of axis is called the axes. A number line represented horizontally is the \(x\)-axis and a number line represented vertically is the \(y\)-axis. Joining both the lines together at origin is called the \(xy\) plane or cartesian plane or co-ordinate axes.
 xy.PNG