Find the equation of the non-vertical asymptote. What is the smallest value of x at which f(x) intersects its?

-6x^3 + 2x^2 - 9x +3 / -5x^2 +9x - 4

1)Find the equation of the non-vertical asymptote.
2)What is the smallest value of x at which f(x) intersects its non-vertical asymptote?

Please help! Explain the process of each step thoroughly please and thank you!

2 answers

for large x this looks like
-6 x^3/-5 x^2 = (6/5)x
which is a straight line of slope 6/5
I don't understand? Can you please explain?