Answer:
To find the slant asymptote of the function y = (x^2 - 5x - 6)/(x - 6), we need to perform long division to divide the numerator by the denominator.
Dividing x^2 - 5x - 6 by x - 6, we get:
x + 1
___________
x - 6 | x^2 - 5x - 6
- (x^2 - 6x)
___________
x - 6x - 6
- (x - 6)
___________
1
The result of the long division is x + 1 with a remainder of 1.
Therefore, the correct slant asymptote for the function y = (x^2 - 5x - 6)/(x - 6) is:
y = x + 1