4. Linear Equations in Two Variables
medium

Draw the graph and linear equations in two variables : $x - y = 2$

Option A
Option B
Option C
Option D

Solution

$x-y =2$            $ \Rightarrow y=x-2$

If we have           $x=0,$ then $y=0-2=-2$

                           $x=1,$ then $y=1-2=-1$

                           $x=2,$ then $y=2-2=0$

$\therefore$ We get the following table :

$x$ $0$ $1$ $2$
$y$ $-2$ $-1$

$0$

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

Thils the line $PQ$ is the required graph of $x-y=2$.

Standard 9
Mathematics

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