Question

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

Answer 1

Drawing graph of the linear equation:

To draw the graph$x+y=4$, we have to find the values which $x$ and $y$can have, satisfying the equation.

We can check that when, $x=0,y=4$,

When,

$$\begin{gathered} x=0, \\ x+y=4 \\ 0+y=4 \\ y=4 \end{gathered}$$

When,

$$\begin{gathered} x=4, \\ x+y=4 \\ 4+y=4 \\ y=4-4 \\ y=0 \end{gathered}$$

$(0,4),(4,0)$ are solutions of the given equation. So, we can use the following table to draw the graph:

$x$	$y$
$0$	$4$
$4$	$0$

Hence, the points to be plotted are $(0,4)\&(4,0).$