To put the equation $3y - 3x = -27$ into slope-intercept form (which is $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept), follow these steps:

1. Add $3x$ to both sides to isolate the $y$ term on the left side: $3y = 3x - 27$

2. Divide the entire equation by 3 to solve for $y$: $\frac{3y}{3} = \frac{3x - 27}{3}$ Simplifying, you get: $y = x - 9$

So, the equation in slope-intercept form is: $y = x - 9$ This equation shows that the slope ($m$) is 1, and the y-intercept ($b$) is $-9$.

Would you like more details or have any questions?

Here are 5 related questions you might find interesting:

1. What is the slope of the line $y = x - 9$?
2. How would you graph the line $y = x - 9$?
3. If $y = x - 9$, what is the value of $y$ when $x = 5$?
4. How does the slope-intercept form compare to the standard form of a linear equation?
5. How would the line change if the equation was $y = 2x - 9$?

Tip: The slope-intercept form is very useful for quickly identifying the slope and y-intercept of a line, which makes graphing the line much easier.