Answer
397.2k+ views
Hint: We have asked to plot a line for $3x + 2y = 0$. This is the linear equation in two variables and every linear equation in two variables is the equation of line. So to plot this firstly we have to find the point which satisfies this equation these are infinitely many points which will satisfy this equation. We will find only two points. These points will be enough to plot the line.
We first put $x = 0$in the equation, this will give the value of $y$. Again we put $y = 0$ in this equation this will give the value of $x$, and we get two points which help to plot the graph.
Complete step-by-step answer:
We have given equation
$3x + 2y = 0$ ------(i)
This is the equation of the line.
Putting $x = 0$in the equation (i)
$3.x.0 + 2y = 0$
$\Rightarrow$ $2y = 0$
$\Rightarrow$ $y = 0$
So for $x = 0$the value of $y = 0$ $(0,0)$ is the point on the line
Putting $x = 2$in the equation (i)
We get
$3.x.2 + 2y = 0$
$\Rightarrow$ $6 + 2y = 0$
$\Rightarrow$ $2y = - 6$
$\Rightarrow$ $y = - 3$
For $x = 2,y = - 3$
$(2,3)$ is the point on the line
Putting $y = - 3$ in the equation (i)
We get
$3x + 2 \times 3 = 0$
$\Rightarrow$ $3x + 6 = 0$
$\Rightarrow$ $3x = - 6$
$x = \dfrac{{ - 3}}{3} = - 2$
For $y = - 3$, $x = 2$
So $( - 2,3)$ is the point on the line
Plotting these points in the graph and joining we get a straight line.
Note: An equation is said to be a linear equation in two variables, if it is written in the form of $ax + by + c = 0$. Where $a, b$ and $c$ are real numbers and the coefficient of $x$ and $y$.
The solution of such equations is a pair of values, one for $x$ and one for $y$ which further moles the two sides of an equation equal.
We first put $x = 0$in the equation, this will give the value of $y$. Again we put $y = 0$ in this equation this will give the value of $x$, and we get two points which help to plot the graph.
Complete step-by-step answer:
We have given equation
$3x + 2y = 0$ ------(i)
This is the equation of the line.
Putting $x = 0$in the equation (i)
$3.x.0 + 2y = 0$
$\Rightarrow$ $2y = 0$
$\Rightarrow$ $y = 0$
So for $x = 0$the value of $y = 0$ $(0,0)$ is the point on the line
Putting $x = 2$in the equation (i)
We get
$3.x.2 + 2y = 0$
$\Rightarrow$ $6 + 2y = 0$
$\Rightarrow$ $2y = - 6$
$\Rightarrow$ $y = - 3$
For $x = 2,y = - 3$
$(2,3)$ is the point on the line
Putting $y = - 3$ in the equation (i)
We get
$3x + 2 \times 3 = 0$
$\Rightarrow$ $3x + 6 = 0$
$\Rightarrow$ $3x = - 6$
$x = \dfrac{{ - 3}}{3} = - 2$
For $y = - 3$, $x = 2$
So $( - 2,3)$ is the point on the line
$x$ | $0$ | $2$ | $ - 2$ |
$y$ | $0$ | $ - 3$ | $3$ |
Plotting these points in the graph and joining we get a straight line.
![seo images](https://www.vedantu.com/question-sets/9305ea87-6ba2-47b4-9ecf-8015bbcc13826114164788207385815.png)
Note: An equation is said to be a linear equation in two variables, if it is written in the form of $ax + by + c = 0$. Where $a, b$ and $c$ are real numbers and the coefficient of $x$ and $y$.
The solution of such equations is a pair of values, one for $x$ and one for $y$ which further moles the two sides of an equation equal.
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Why Are Noble Gases NonReactive class 11 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let X and Y be the sets of all positive divisors of class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x and y be 2 real numbers which satisfy the equations class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x 4log 2sqrt 9k 1 + 7 and y dfrac132log 2sqrt5 class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x22ax+b20 and x22bx+a20 be two equations Then the class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Trending doubts
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
At which age domestication of animals started A Neolithic class 11 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Which are the Top 10 Largest Countries of the World?
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give 10 examples for herbs , shrubs , climbers , creepers
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference Between Plant Cell and Animal Cell
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Write a letter to the principal requesting him to grant class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Change the following sentences into negative and interrogative class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Fill in the blanks A 1 lakh ten thousand B 1 million class 9 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)