Class 9 - Mathematics
Linear Equations in Two Variables - Exercise 4.4
Top Block 1
Exercise 4.4
Question : Give the geometric representations of y = 3 as an equation
(i) in one variable (ii) in two variables
Answer :
Given, equation is: y = 3
(i) As an equation in one variable, it is the number 3 on the number line.
(ii) As an equation in two variable, it can be written as 0 * x + y = 3
Value of x can be any number but y will continue to be 3.
It is a line parallel to x-axis and 3 units above it.
Mddle block 1
Question : 2: Give the geometric representations of 2x + 9 = 0 as an equation
(i) in one variable (ii) in two variables
Answer :
Given, equation is: 2x + 9 = 0
(i) As an equation in one variable.
2x + 9 = 0
⇒ 2x = -9
⇒ x = -9/2
(ii) The given equation can be written as:
2x + 0 * y + 9 = 0
This is an equation in two variables. Values of y can be any number but x remains -9/2.
It is a line parallel to y-axis and 9/2 units to the left of O.
