Let's solve for the y-intercept of the given function:

$y = \frac{3x - 3}{x + 1}$

Step 1: Find the y-intercept

The y-intercept occurs when $x = 0$. Substituting $x = 0$ into the function:

$y = \frac{3(0) - 3}{0 + 1}$

$y = \frac{-3}{1} = -3$

Final Answer:

The y-intercept is $(0, -3)$.

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Related Questions:

1. How do you find the x-intercept of this function?
2. What is the domain of this function?
3. How do you determine vertical and horizontal asymptotes?
4. What happens to $y$ as $x \to \infty$?
5. Can this function have any removable discontinuities?

Tip:

To find the x-intercept, set $y = 0$ and solve for $x$.