Subscribe to our YouTube channel for the latest videos, updates, and tips.


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




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.




Share this page: What’s this?

Recent Articles

  1. Terms Related to Simple Interest | Simple Interest Formula | Principal

    Jun 18, 25 02:57 PM

    In terms related to simple interest we will learn all the terms related to simple interest. The terms related to simple interest are Interest, Principal, Amount, Simple Interest, Time or period of tim…

    Read More

  2. Introduction to Simple Interest | Definition | Formula | Examples

    Jun 18, 25 01:50 AM

    Simple Interest
    In simple interest we will learn and identify about the terms like Principal, Time, Rate, Amount, etc. PRINCIPAL (P): The money you deposit or put in the bank is called the PRINCIPAL.

    Read More

  3. 5th Grade Profit and Loss Percentage Worksheet | Profit and Loss | Ans

    Jun 18, 25 01:33 AM

    5th Grade Profit and Loss Percentage Worksheet
    In 5th grade profit and loss percentage worksheet you will get different types of problems on finding the profit or loss percentage when cost price and selling price are given, finding the selling pri…

    Read More

  4. Worksheet on Profit and Loss | Word Problem on Profit and Loss | Math

    Jun 18, 25 01:29 AM

    Worksheet on Profit and Loss
    In worksheet on profit and loss, we can see below there are some different types of questions which we can practice in our homework.

    Read More

  5. Calculating Profit Percent and Loss Percent | Profit and Loss Formulas

    Jun 15, 25 04:06 PM

    In calculating profit percent and loss percent we will learn about the basic concepts of profit and loss. We will recall facts and formula while calculating profit percent and loss percent. Now we wil

    Read More