Answer
Vertical asymptote: $x=25$.
Horizontal asymptote: $y=25$
Work Step by Step
$$y=\frac{25x}{x-25}$$
Finding the vertical asymptote by equating the denominator to $0$:
$$x-25=0$$ $$x=25$$
Thus, the vertical asymptote is $x=25$.
Finding the horizontal asymptote, as the degree of the numerator and the degree of the denominator are equal, take the quotient of the leading coefficient of the numerator with the leading coefficient of the denominator:
$$y=\frac{25}{1}$$ $$y=25$$
Thus, the horizontal asymptote is $y=25$.
