Given the next rational function:
[tex]y=\frac{4x+24}{x-7}[/tex]Given that the degree of the numerator is equal to the degree of the denominator (1), then the horizontal asymptote is calculated as follows:
[tex]y=\frac{a}{b}[/tex]where a is the leading coefficient of the numerator and b is the leading coefficient of the denominator.