Ordered pair of a Coordinate System

To know the ordered pair of a coordinate system let us recall the coordinate system.

We represent a point in a plane by ordered pairs of real numbers called the Cartesian co-ordinates.  To determine the position of a point in a plane we draw two mutually perpendicular straight lines XOX’ and YOY’.

XOX’ is called the x-axis which is a horizontal line.

YOY’ is called the y-axis which is a vertical line.

Point O is called the origin.

Ordered pair: 

Whenever we write the co-ordinates of a point, first we write the x- co-ordinate, and then we write the y-co-ordinate. Suppose a and b is a pair of two numbers which is listed in a specific order then the co-ordinates (a, b) are called the ordered pair.

Ordered pair of a Coordinate System

Thus, in (a, b) we notice a is at the first place so it is known as x- co-ordinate and b at the second place so it is known as y- co-ordinate. 

In an order pair, if the order of the numbers is changed then it represents a different point,

Hence, (a, b) ≠ (b, a)

Thus, (5, 4) ≠ (4, 5) 

Examples of ordered pair of a coordinate system:

1. In an ordered pair (3, 5): x co-ordinate is 3 and y co-ordinate is 5

But in an ordered pair (5, 3) x co-ordinate is 5 and y co-ordinate is 3

So, we observe that (3, 5) and (5, 3) represent different points.

2. In an ordered pair (7, 2) x co-ordinate is 7 and y co-ordinate is 2

But in an ordered pair (2, 7) x co-ordinate is 2 and y co-ordinate is 7

So, we observe that (7, 2) and (2, 7) represent different points.


The co-ordinate of the origin are (0, 0) i.e., its x co-ordinate is 0 and its y co-ordinate is also 0.

Related Concepts:

Coordinate Graph

Plot Ordered Pairs

Coordinates of a Point

All Four Quadrants

Signs of Coordinates

Find the Coordinates of a Point

Coordinates of a Point in a Plane

Plot Points on Co-ordinate Graph

Graph of Linear Equation

Simultaneous Equations Graphically

Graphs of Simple Function

Graph of Perimeter vs. Length of the Side of a Square

Graph of Area vs. Side of a Square

Graph of Simple Interest vs. Number of Years

Graph of Distance vs. Time

7th Grade Math Problems

8th Grade Math Practice

From Ordered pair of a Coordinate System to HOME PAGE

Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.

New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.