Answer
$$
y=\frac{8}{5-3x}
$$
We find that:
Asymptote: $y=0$ and $x=\frac{5}{3}$
$x$-intercept: non
$y$ -intercept: $\frac{8}{5}$
Work Step by Step
$$
y=\frac{8}{5-3x}
$$
The function is undefined for $x=\frac{5}{3}$, so the line $x=\frac{5}{3}$ is a vertical asymptotic..
To find a horizontal asymptotic, let $x$ get larger and larger, so that
$$
y=\lim _{x \rightarrow \infty} \frac{8}{5-3x} =0
$$
This means that the line $y=0 $ is a horizontal asymptotic.
When $x=0 $ the y-intercept is $\frac{8}{5}$
So,
Asymptotic: $y=0$ and $x=\frac{5}{3}$
$x$-intercept: non
$y$ -intercept: $\frac{8}{5}$