Exercise 4.4
NCERT solutions for Class 9 Maths Linear Equations in Two Variables
NCERT Solutions for Class 9 Mathematics Linear Equations in Two Variables
1. Give the geometric representation of
as an equation
(i) In one variable
(ii) In two variables
Ans. (i) We need to represent the linear equationgeometrically in one variable.
We can conclude that in one variable, the geometric representation of the linear equationwill be same as representing the number 3 on a number line.
Given below is the representation of number 3 on the number line.
(ii) We need to represent the linear equationgeometrically in two variables.
We know that the linear equationcan also be written as
.
We can conclude that in two variables, the geometric representation of the linear equationwill be same as representing the graph of linear equation.
Given below is the representation of the linear equationon a graph.
We can optionally consider the given below table for plotting the linear equationon the graph.
X | 1 | 0 |
y | 3 | 3 |
NCERT Solutions for Class 9 Maths Exercise 4.4
2. Give the geometric representations of 
as an equation
(i) In one variable
(ii) In two variables
Ans.(i) We need to represent the linear equationgeometrically in one variable.
We know that the linear equationcan also be written as
.
We can conclude that in one variable, the geometric representation of the linear equationwill be same as representing the number
on a number line.
Given below is the representation of number 3 on the number line.
(ii) We need to represent the linear equationgeometrically in two variables.
We know that the linear equationcan also be written as
.
We can conclude that in two variables, the geometric representation of the linear equationwill be same as representing the graph of linear equation.
Given below is the representation of the linear equationon a graph.
We can optionally consider the given below table for plotting the linear equationon the graph.
X | 1 | 0 |
y | 4.5 | 4.5 |
