Romero Ayala
06/16/2024 · Middle School
The graph of \( y=\frac{9 x-18}{x-8} \) has a vertical asymptote. What is it? The vertical asymptote is
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Tutor-Verified Answer
Step-by-step Solution
To find the vertical asymptote of the function \( y = \frac{9x - 18}{x - 8} \), we need to determine where the denominator is equal to zero, as vertical asymptotes occur at these points (provided the numerator is not also zero at the same point).
The denominator of the function is:
\[
x - 8
\]
Setting the denominator equal to zero:
\[
x - 8 = 0
\]
Solving for \( x \):
\[
x = 8
\]
Thus, the vertical asymptote of the function is at:
\[
\boxed{8}
\]
Quick Answer
The vertical asymptote is at \( x = 8 \).
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