Theory:

Let us draw the graph of the equation using the coordinates of \(x\) and \(y\)-intercepts.
 
The graph can be obtained by plotting the \(x\) and \(y\)-intercepts and then drawing a line joining these points.
Example:
Draw the graph of the equation \(4y-3x = 6\) using the \(x\) and \(y\)-intercepts.
 
Solution:
 
To find the \(x\)-intercept, put \(y = 0\) in the given equation.
 
\(4(0)-3x = 6\)
 
\(0-3x = 6\)
 
\(-3x = 6\)
 
\(x = \frac{6}{-3}\)
 
\(x = -2\)
 
Thus, the \(x\)-intercept is \(x = -2\).
 
Similarly, to find the \(y\)-intercept, put \(x = 0\) in the given equation.
 
\(4y-3(0) = 6\)
 
\(4y-0 = 6\)
 
\(4y = 6\)
 
\(y = \frac{6}{4}\)
 
\(y = \frac{3}{2}\)
 
Thus, the \(y\)-intercept is \(\frac{3}{2}\).
 
We shall plot the graph using these two coordinates \((-2,0)\), and \((0,\frac{3}{2})\) and then, draw a line through the two points.
 
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