Question

Obtain the points to be plotted for the equation $2x - y = 4$ in the graph.

Answer 1

Hint: In this question, we are given an equation and we have been asked to find the points which can be plotted on the graph to represent the equation $2x - y = 4$. To find the points, put different values of x starting from 0 and find values of y respectively. Then plot these points on the graph and connect them. You will get a line which will represent the given equation $2x - y = 4$.

Complete step-by-step solution:
We are given an equation $2x - y = 4$ and we have been asked to plot the points on the graph. We will first find the points.
Step 1: Finding the points.
Put different integral values on x starting from 0 and then find the corresponding values of y.
For example: Put $x = 0$ in $2x - y = 4$.
$ \Rightarrow 0 - y = 4$
$ \Rightarrow y = - 4$
Therefore, we have got one point $\left( {0, - 4} \right)$. Similarly, we can find other 2-3 points and, make a table as below:

$x$	$0$	$1$	$2$	$3$
$y$	$ - 4$	$ - 2$	$0$	$2$

Step 2: Now, we have all the required points and the next step is to plot them on the graph.
Step 3: After plotting the points, give each point a name. $A\left( {0, - 4} \right),B\left( {1, - 2} \right),C\left( {2,0} \right),D\left( {3,2} \right)$.
Step 4: Connect all the points to get the required line.

Therefore, this is our graph for the given equation.

Note: We can solve the same in a different way
We are given an equation $2x - y = 4$ and we have been asked to plot the points on the graph. We will first find the points.
Step 1: Finding the points.
Put different integral values on $y$ starting from 0 and then find the corresponding values of y.
For example: Put $y = 0$ in $2x - y = 4$.
$ \Rightarrow 2x - 0 = 4$
$ \Rightarrow 2x = 4$
$ \Rightarrow x = 2$
Therefore, we have got one point $\left( {2,0} \right)$.
Similarly, we can find other by substituting $y$ as $1,{\text{ }}2,{\text{ }}3$ points and, make a table as below:

$x$	$2$	$2.5$	$3$	$3.5$
$y$	$0$	$1$	$2$	$3$

Step 2: Now, we have all the required points and the next step is to plot them on the graph.
Step 3: After plotting the points, give each point a name. $A\left( {2,0} \right),B\left( {2.5,1} \right),C\left( {3,2} \right),D\left( {3.5,3} \right)$.
Step 4: Connect all the points to get the required line.

Therefore, this is our graph for the given equation.
Hence, we got the point plotted graph.