Question

guided practice
type your answer and then click or tap done.
a=8 b=2
if $y = \frac{a}{b}$, what is the horizontal asymptote?
y=\boxed{}

Explanation:

Step1: Identify the function type

The function $y = \frac{a}{b}$ is a constant function (since $a$ and $b$ are constants).

Step2: Find horizontal asymptote of constant function

A constant function $y = k$ has a horizontal asymptote at $y = k$.

Step3: Calculate the constant value

Substitute $a=8$ and $b=2$: $y = \frac{8}{2} = 4$.

Step4: Determine the asymptote

The horizontal asymptote is $y = 4$.

Answer:

4