To find the \( y \)-intercept of the function, we need to evaluate the function at \( x = 0 \). This involves substituting \( x = 0 \) into the equation and simplifying to find the corresponding \( y \)-value.
Step 1: Identify the Function
The given function is:
\[
y = \frac{6x + 18}{3x - 18}
\]
Step 2: Substitute \( x = 0 \) to Find the \( y \)-Intercept
To find the \( y \)-intercept, substitute \( x = 0 \) into the function:
\[
y = \frac{6(0) + 18}{3(0) - 18} = \frac{18}{-18} = -1
\]