first pic is the original problem and from class notes I came up with 2nd pic am i doing this right?
There are some 'typos' in your solution but the end result is correct. It then follows that $\displaystyle \frac{x^2 - 9x + 7}{x+8} = x - 17 + \frac{143}{x+8}$. The oblique asymptote is obvious, right ....?
first pic is the original problem and from class notes I came up with 2nd pic am i doing this right?
Apart from some obvious errors in your attachment, you did manage to come up with the proper polynomial quotient you need to define your oblique asymptote.