Introduction to cartesian coordinate system

Suppose your friend invites you to her home for a dinner party.But sadly you don't know how to reach there.

So you ask her to give you her address.

She then starts by telling you the street and then the direction from a Shopping mall there, which is the reference point.

Since an address is necessary to pin point i.e to locate anything without much difficulty.

The same goes with Mathematics, we need an address to know where things like points are.

There is a special system that we use in the world of Maths to locate the points.

We call this a Cartesian Coordinate System.

Just like how an address is made up of the name of your building, the name of the street etc, an address in the Cartesian System is made up of Two Parts.

The x-part also called Abscissa or x-coordinate and the y-part also called ordinate or y-coordinate.

Remember that the order of x and y coordinates when representing a point is important and the x-coordinate always come first.

The x-coordinate tells us where a point is in the "x direction" i.e the horizontal direction.

Whereas the y-coordinate tells us where the point lies in the "y-direction" i.e the vertical direction.

These two lines form a 2 Dimensional plane that we use to locate our points, which we call the Cartesian plane.

Just like we have names for the directions in our real life like North, South, East and West, we have names of the directions in Cartesian plane too.

The horizontal direction is represented by a line called the x-axis.

Whereas the vertical direction is represented by a line called the y-axis.

And the point at which these two lines meet is referred to as Origin, which is taken as the reference point.

We use Origin as a start point to locate any point in the cartesian plane.

Taking origin as the reference point, and a positive distance from it, we can represent the positive points.

But In the world of Maths, we have negative points too.

Hence, this led to the formation of negative x-axis and the negative y-axis.

The right side of origin on the x-axis represents the positive x, whereas the left direction represents the negative x.

The upward side of origin on the y-axis represents the positive y, whereas the downward side represents the negative y.

Since the Origin is at a distance of 0 from both x and y-axis, we represent it as (0,0)

Let us see some examples to understand the concept better.

Let us locate the point (2,3).

Further, Let us try to locate the point (-3,1).

Now, Let us try to locate (-4,-4)

Let us have a quick revision.

A point in the cartesian coordinate system consists of two parts.

The x-part also called Abscissa or x-coordinate and the y-part also called ordinate or y-coordinate.

Remember that the order of x and y coordinates when representing a point is important and the x-coordinate always come first.

The horizontal direction is represented by a line called the x-axis whereas the vertical direction by a line called the y-axis.

The intersection of both these lines is called the origin.

Keep Learning.