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Draw the graph of each of the following linear equations in two variables.$\frac{x-2}{3}=y-3$
Given:
The given equation is $\frac{x-2}{3}=y-3$.
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 $\frac{x-2}{3}=y-3$,
$y=\frac{x-2}{3}+3$
If $x=2$ then $y=\frac{2-2}{3}+3=3$
If $x=-1$ then $y=\frac{-1-2}{3}+3=-1+3=2$
$x$ | $2$ | $-1$ |
$y$ | $3$ | $2$ |
Plot the points $A(2, 3)$ and $B(-1, 2)$ 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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