Answer
Verified
422.1k+ 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.
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
Mark and label the given geoinformation on the outline class 11 social science CBSE
When people say No pun intended what does that mea class 8 english CBSE
Name the states which share their boundary with Indias class 9 social science CBSE
Give an account of the Northern Plains of India class 9 social science CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
Trending doubts
Which are the Top 10 Largest Countries of the World?
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
Difference Between Plant Cell and Animal Cell
Give 10 examples for herbs , shrubs , climbers , creepers
Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
How do you graph the function fx 4x class 9 maths CBSE
Write a letter to the principal requesting him to grant class 10 english CBSE