Question

Draw the graph of the following linear equations in two variables: $y=3x$

Answer 1

To draw the graph$y=3x$, we have to find the values which $x$ and $y$can have, satisfying the equation.

For,$x=0,$

$$\begin{gathered} \Rightarrow y=3\times 0 \\ \Rightarrow y=0 \end{gathered}$$

And for $x=1,$

$$\begin{gathered} \Rightarrow y=3\times 1 \\ \Rightarrow y=3 \end{gathered}$$

So, we can use the following table to draw the graph:

$x$	$y=3x$	$(x,y)$
$0$	$0$	$(0,0)$
$1$	$3$	$(1,3)$

Now plot the points on the graph

Hence, the graph of the equation $y=3x$is drawn above.