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