Answer
Vertical asymptote: $x=2$
Horizontal asymptote: $y=0$
Work Step by Step
$r(x)=\dfrac{5}{x-2}$
Vertical asymptote
A rational function has vertical asymptotes where the function is undefined, that is, where the denominator is zero.
Set the denominator equal to $0$ and solve for $x$ to find the vertical asymptotes of this function:
$x-2=0$
$x=2$
Horizontal asymptote
Since the degree of the numerator is less than the degree of the denominator, the horizontal asymptote of this function is $y=0$
