# Slant Asymptote Formula

## Slant Asymptote Formula

A hypothetical slant line that appears to touch a certain area of the graph is known as a slant asymptote. Only when the degree of the numerator (a) is exactly one more than the degree of the denominator does a rational function exhibit a slant asymptote (b). In other words, a + 1 = b is the determining factor. A slant asymptote, for instance, exists for the function f(x) = x + 1, where the degree of the numerator is 1, one more than the degree of the denominator. A rational function’s general slant asymptote equation has the formula Q = mx + c, also known as the quotient function created by the long division of the numerator by the denominator.

A polynomial ratio with a rational function has a denominator that should not be zero. It is a polynomial ratio-based function. Any function of one variable, x, that can be written as f(x) = p(x)/q(x), where p(x) and q(x) are polynomials with q(x) 0, is said to be a rational function. For a rational function, there are three different types of asymptotes: horizontal, vertical, and slant asymptotes.

## Formula For Slant Asymptote

You get a linear function from the slant asymptote that is neither parallel to the X-axis nor the Y-axis. Its degree is 1, as it is a linear function. The slant asymptote is also known as an oblique asymptote.

A rational function will always experience the oblique asymptote. When there is no horizontal asymptote, it happens.

### Solved Example

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