Premium Online Home Tutors
3 Tutor System
Starting just at 265/hour

Give the geometric representations of y = 3 as an equation
(i) In one variable
(ii) In two variables


Answer :

The given linear equation is y = 3 ...(i)

(i) The representation of the solution on the number line is shown in the figure below, where y = 3 is treated as an equation in one variable.

figure

ii)The representation of the solution on the number line is shown in the figure below, where y = 3 can be written as an equation in of two variable i.e., (0).x + y = 3

Here, if we observe, all the values of x are permissible as (0).x is always going to be 0.

However, y always has to be equal to 3.

Hence, graph of y = 3 will be a line parallel to x-axis and at a distance of 3 units along positive y- axis.

figure

NCERT solutions of related questions for Linear equations in two variables

NCERT solutions of related chapters class 9 maths

NCERT solutions of related chapters class 9 science