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.

Note:

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


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.



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.



Share this page: What’s this?

Recent Articles

  1. Fraction as a Part of Collection | Pictures of Fraction | Fractional

    Feb 24, 24 04:33 PM

    Pictures of Fraction
    How to find fraction as a part of collection? Let there be 14 rectangles forming a box or rectangle. Thus, it can be said that there is a collection of 14 rectangles, 2 rectangles in each row. If it i…

    Read More

  2. Fraction of a Whole Numbers | Fractional Number |Examples with Picture

    Feb 24, 24 04:11 PM

    A Collection of Apples
    Fraction of a whole numbers are explained here with 4 following examples. There are three shapes: (a) circle-shape (b) rectangle-shape and (c) square-shape. Each one is divided into 4 equal parts. One…

    Read More

  3. Identification of the Parts of a Fraction | Fractional Numbers | Parts

    Feb 24, 24 04:10 PM

    Fractional Parts
    We will discuss here about the identification of the parts of a fraction. We know fraction means part of something. Fraction tells us, into how many parts a whole has been

    Read More

  4. Numerator and Denominator of a Fraction | Numerator of the Fraction

    Feb 24, 24 04:09 PM

    What are the numerator and denominator of a fraction? We have already learnt that a fraction is written with two numbers arranged one over the other and separated by a line.

    Read More

  5. Roman Numerals | System of Numbers | Symbol of Roman Numerals |Numbers

    Feb 24, 24 10:59 AM

    List of Roman Numerals Chart
    How to read and write roman numerals? Hundreds of year ago, the Romans had a system of numbers which had only seven symbols. Each symbol had a different value and there was no symbol for 0. The symbol…

    Read More