Draw graph and linear equations in two variables : x + y = 4

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4. Linear Equations in Two Variables

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Draw the graph and linear equations in two variables : $x + y = 4$

Option A

Option B

Option C

Option D

Solution

$x+y =4$ $ \Rightarrow y=4-x$

If we have $x=0,$ then $y=4-0=4$

$x=1,$ then $y=4-1=3$

$x=2,$ then $y=4-2=2$

$\therefore$ We get the following table :

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

Plot the ordered pairs $(0,\,4)$, $(1,\,3)$ and $(2,\,2)$ on the graph paper. Joining these poltils, we get a line $AB$ as shown below.

Thils the line $A B$ is the required graph of $x+y=4$.

Standard 9

Mathematics

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