Question

Draw the graph of the line, $y = 2x$.

Answer 1

In this question, we need to plot the graph for the given line $y = 2x$. For this, we will put different values of x and y and mark the different values of ($x$,y$$$$)as a point and plot the graph.

Complete step by step solution:
We need to draw the graph of $y = 2x$. For this we will use the simple method in which we will be taking different values of x and find the corresponding value of y.
Minimum two points are needed to draw a graph but we will take at least 3 points to be sure that the point obtained by is correct.
Now let us find the points,
When $x$ = 1, then $y$= 2 [$y$= 2$\times$1= 2 ]
When $x$ = 2, then $y$= 4 [$y$= 2$\times$2= 4 ]
When $x$ = -1, then $y$= 4 [$y$= 2$\times$-1= -2]

$x$	1	2	1
$y$	2	4	2

So,
We have got three points which are (1,2), (2,4), (-1,-2)

Marking all the three points in the graph paper and drawing a straight line such that the line touches all the three points.
Hence, the graph is formed.
Additional Information: Whenever there is a linear equation a straight line is only formed so we need not to go for any curve in such cases.
Note: There are several manners where students make errors, First in finding the points $x$ and $y$. Even after finding we need to put great care while plotting the points. If the points are wrongly placed it will not form a straight line and hence the graph will be wrong.