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


Given:

The given equation is \( x+y=4 \).

To do:

We have to draw the graph of the given linear equation in two variables.

Solution:

To represent the above equation graphically we need at least two solutions for the given equation.

For equation $x+y=4$,

$y=4-x$

If $x=0$ then $y=4-0=4$

If $x=4$ then $y=4-4=0$

$x$

$0$$4$

$y$

$4$$0$

Plot the points $A(0, 4)$ and $B(4, 0)$ on the graph and join them to get the graph of the given equation.

The above situation can be plotted graphically as below:


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Simply Easy Learning

Updated on: 10-Oct-2022

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