What is oblique asymptote of graph y = (x^2-6x+m)/(2x-4) if m=9?

The line
`y = ax + b` is the oblique asymptote for the function `y = (x^2-6x+m)/(2x-4)` if there exists
`a = lim_(x->+-oo) y/x` and `b = lim_(x->+-oo)(y - a*x)` .

You need
first to evaluate a, at `m = 9` , such that:

`a = lim_(x->+-oo) (x^2 - 6x
+ 9)/(x(2x - 4))`

You need to force factor `x^2 ` to numerator and `x` to
denominator, such that:

`a = lim_(x->+-oo) (x^2(1 - 6/x + 9/x^2))/(x^2(2 -
4/x))`

Reducing duplicate factors yields:

`a
=...

href="https://en.wikipedia.org/wiki/Asymptote">https://en.wikipedia.org/wiki/Asymptote