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Class 9
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Math
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Linear Graphs And Their Applications
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Cartesian plane.

Linear Graphs And Their Applications

Cartesian plane.

Math

Order Pair:

A pair of two real number written in fix order within parenthesis. It represent the position of the point in the cartesian plane.

For Example: (3,2)(3,2)(3,2)

This is defining the point on 3rd3^{rd}3rd row and 2nd2^{nd}2nd column or the value of xxx is 333 and the value of yyy is 222

Real life examples:

If there are 5 columns and 3 rows in a class each student of the class will be recognized with a different order pair.

Such as student G has an order pair of (2,2)(2,2)(2,2) because G position is in the second row and second column. as shown in the figure:

Cartesian Plane

  • The cartesian coordinate system consist of two real number lines

  • The point of intersection of both the number lines in the cartesian coordinate system is called Origin and denoted as O.

  • X-axis is the horizontal number line of the cartesian plane.

  • Y-axis is the vertical number line of the cartesian plane.