To convert the equation \(3y = 6x - 18\) into slope-intercept form (which is \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept), follow these steps:
- Divide both sides of the equation by 3 to solve for \(y\):
\[ y = \frac{6x - 18}{3} \]
- Simplify the right side:
\[ y = 2x - 6 \]
Now the equation is in slope-intercept form, where the slope \(m = 2\) and the y-intercept \(b = -6\).
So, the final answer is:
\[ y = 2x - 6 \]