To find the y-intercept of the given equation:

$y = \frac{6x + 18}{3x - 18}$

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

$y = \frac{6(0) + 18}{3(0) - 18}$

Simplify the numerator and denominator:

$y = \frac{18}{-18}$

$y = -1$

Thus, the y-intercept is:

$(0, -1)$

Would you like me to provide additional details or a step-by-step explanation? Let me know if you have any further questions! 😊

Related Questions:

1. How do you find the x-intercept for this function?
2. What happens to the graph of the function as $x \to \infty$ or $x \to -\infty$?
3. How can you determine vertical and horizontal asymptotes for this function?
4. What is the domain of this function, and why?
5. How does the graph behave near $x = 6$, where the denominator becomes zero?

Tip:

To verify the y-intercept graphically, you can plot the function and observe where it crosses the y-axis!