Questions: Find the y-intercept. y=(6x+18)/(3x-18) (0,[?])

Find the y-intercept.
y=(6x+18)/(3x-18)
(0,[?])
Transcript text: Find the $y$-intercept. \[ \begin{array}{c} y=\frac{6 x+18}{3 x-18} \\ (0,[?]) \end{array} \]
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Solution

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Solution Steps

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: \[ y = \frac{6(0) + 18}{3(0) - 18} = \frac{18}{-18} = -1 \]

Final Answer

The \( y \)-intercept is \(\boxed{-1}\).

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