The equation of the slant asymptote is put in the standard form and it is written as:
y = mx + n, where m is the slope of the asymptote and n is the y intercept.
The equation of the slant asymptote is:
y = -x
m = -1 and n = 0
The equation y = -x is the equation of the bisectrix of the 2nd or the 4th quadrant.
So, the slant asymptote y = -x is the bisectrix of the 2nd or the 4th quadrant.
If the vertical asymptote of a function is x = 0 that means that the function is discontinuous in the point that has the x coordinate x = 0.
The domain of definition of the function that has the vertical asymptote x = 0 does not contain the value x = 0.