### 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.