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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Simply Easy Learning

Updated on: 10-Oct-2022

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