Answer:
-2x + 5
Explanation:
A horizontal asymptote of a rational function occurs when the degree of polynomials in both numerator and denominator are equal.
Also, a slant or oblique asymptote of a rational function occurs when the polynomial in the numerator is a higher degree than the polynomial in the denominator.
We are given the rational function,

As, the degree of numerator > degree of denominator. There is no horizontal asymptote.
Now,the first two terms in the quotient ( forming a linear function ) after dividing the polynomial is the equation of the oblique asymptote.
After dividing we get that, the quotient is -2x+5
Hence, the equation of the oblique asymptote is -2x+5.