### Theory:

Let us learn how to find the slope using the given equation.

To find the slope of the equation, let us write the equation in the format of $$y=mx+c$$ where $$m$$ is the slope of the equation and $$c$$ is the $$y$$ - intercept.
Example:
Find the slope of the equation $$4x-6y=12$$

Solution:

The given equation is $$4x-6y=12$$.

Now, let us write the equation in the form of $$y=mx+c$$.

$$4x-6y-4x=12-4x$$ (Subtract both sides by $$4x$$)

$$-6y=12-4x$$

$$y=\frac{12}{-6}-\frac{4x}{-6}$$ (Divide both sides of the equation by $$-6$$)

$$y=-2+\frac{2x}{3}$$

Rearranging the above equation, we have:

$$y=\frac{2x}{3}-2$$

Now, comparing the above equation with $$y=mx+c$$, we have:

$$m=\frac{2}{3}$$

Therefore, the slope of the given equation is $$\frac{2}{3}$$.