Draw graph and linear equations in two variables : y=3 x

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4. Linear Equations in Two Variables

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

Option A

Option B

Option C

Option D

Solution

$y=3x$

If $x=0,$ then $y=3(0) \Rightarrow y=0$

$x=1,$ then $y=3(1) \Rightarrow y=3$

$x=-1,$ then $y=3(-1) \Rightarrow y=-3$

$\therefore$ We get the following table :

$x$	$0$	$1$	$-1$
$y$	$0$	$3$	$-3$

Plot the ordered pairs $(0,\,0)$, $(1,\,3)$ and $(-1,\,-3)$ on the graph paper. Joining these poltils, we get the straight line $LM$.

Thus, the line $LM$ is the required graph of $y=3x$.

Standard 9

Mathematics

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