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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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