NCERT Class 9 Solutions: Linear Equation In Two Variables (Chapter 4) Exercise 4.4 – Part 2
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Q2 Give the geometric representation of as and equation,

in one variable

in two variables.
Solution:
Equation of in one variable
The representation of on the number line is as show below:

In two variable can be written as
It is a linear equation in two variable and . It is best to represent this line on a plane the coordinate plane. Note that all the values of are permissible because is always . However, must satisfy the relation . That is, y coordinates of the points on this line don’t matter as long as their xcoordinate . Understood this way, it is a line parallel to y axis passing through x =

Two possible points on this line can be

So plotting point and joining them we get the graph AB as a line papallel to at a distance of on the left .