Question

Give the geometric representation of y=3 as an equation in two variables.

Answer 1

Hint: We need to convert the given linear equation in one variable to linear equation in two variables. That is by adding the x coordinate with coefficient 0. This gives the coefficient for x=0. Therefore the line which we draw on the graph will be a line parallel to x.

Complete step-by-step answer:
Graphical representation: Graphical representation refers to the use of charts and graphs to visually display, analyze, clarify and interpret numerical data, functions and other qualitative structures.
Line Graphs – Line graph or the linear graph is used to display the continuous data and it is useful for predicting the future.
Given, linear equation y=3
If y=3 is treated as an equation in one variable, then it has a unique solution y=3. So it is point on the number line.
[Number line is on the attachment]
And, given equation y equal to 3 can be written as
$ \Rightarrow 0x + y = 3 $
Which is a linear equation in two variables x and y.
This is represented by a. Here all the values of X are permissible because 0.x is always 0.
However, y must satisfy the equation y=3.
 $ \Rightarrow 0x + y - 3 = 0 $
This is in fact $ y = 3 $

It is a line parallel to the x-axis at a positive distance of 3 from it. We have two of its solutions as $ \left( {0,3} \right),\left( {1,3} \right) $ .

Note: The same way the given linear equation is if with x-coordinate, i.e. x=C, where C is the coefficient or constant. If we draw a line it will be parallel to the y- axis. Therefore the line coordinates will be a constant value for x and will be different values for y.