Question

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

Answer 1

To draw the graph $x-y=2$, we have to find the values which $x$ and $y$ can have, satisfying the equation.

We can check that when,$x=0,y=-2;$

When,

$$\begin{gathered} x=0, \\ x-y=2 \\ 0-y=2 \\ therefore, \\ y=-2 \end{gathered}$$

When

$$\begin{gathered} x=2, \\ x-y=2 \\ 2-y=2 \\ -y=0 \\ therefore, \\ y=0 \end{gathered}$$

$y=-2\&y=0$ are the solutions of the given equation. So, we can use the following table to draw the graph:

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

Hence, the points to be plotted are$(0,-2)\&(2,0).$