# Give the geometric representations of y = 3 as an equation

(i) in one variable

(ii) in two variables

**Solution:**

(i) In one variable, y = 3 represents a point as shown in the following figure.

(ii) We know that y = 3 can be written as, 0x + y = 3

In two variables, y = 3 represents a straight line passing through the point (0, 3) and parallel to the x-axis. It is a collection of all the points on the plane, having their y-coordinate as 3.

Hence,

- When, x = 0, we get y = 3
- When x = 2, we get y = 3
- When x = -2, we get y = 3

Plotting the points (0, 3) (2, 3) and (-2, 3) and on joining them we get the graph AB as a line parallel to the x-axis at a distance of 3 units above it.

The graphical representation is shown below:

**Video Solution:**

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

### NCERT Solutions Class 9 Maths - Chapter 4 Exercise 4.4 Question 1:

**Summary:**

In one variable, y = 3 represents a point and in two variables, y = 3 represents a straight line passing through the point (0, 3) and parallel to the x-axis.