Question

find the y-intercept.
$y = \frac{3x + 27}{x - 9}$
$(0, ?)$

Explanation:

Step1: Recall y-intercept definition

The y-intercept occurs where \( x = 0 \). Substitute \( x = 0 \) into the function \( y=\frac{3x + 27}{x - 9} \).

Step2: Substitute \( x = 0 \)

Substitute \( x = 0 \) into the numerator and denominator:
Numerator: \( 3(0)+27 = 27 \)
Denominator: \( 0 - 9=-9 \)
So \( y=\frac{27}{-9}=-3 \).

Answer:

\(-3\)