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

To do:

We have to write the geometric representation of $y=3$ as an equation

(i) in one variable and

(ii) in two variables.

Solution:

(i) We know that,

To draw a graph of a linear equation in one variable, we need only one solution.

Given,

$y=3$

This implies,

$x=0$ and $y=3$

The geometric representation of $y=3$ in one variable is,

(ii) We know that,

To draw a graph of a linear equation in two variables, we need at least two solutions to the given equation.

$y=3$ can be written as,

$(0)x+y=3$ in two variables.

To find the solutions to the equation $(0)x+y=3$ 

Let us substitute $x=0,1$  in equation $(0)x+y=3$

We get,

$(0)0+3=3$

$3=3$

For $x=1$

We get,

$1(0)+3=3$

$3=3$

Therefore,

$(0, 3)$ and $(1, 3)$ are two solutions of the equation$(0)x+y=3$.

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Updated on: 10-Oct-2022

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