Which of the following has a diagonal asymptote y= x+1/x-8
y=(x+4)(x-1)/x(x-7)
y=1/x-5
y=x(x-3)/x+2

The first one, i believe, would be correct. all the others have one thing in common, and that's that they have repeating numbers. in the second one, x and y have repeating 6's and 3's, and in the third, x and y have repeating 6's as well. in the last one, there are repeating 3's. the first one has no repeating numbers.