Question

write an equation that has:
a vertical asymptote: x=0
and
a slant asymptote: y=-x

Answer 1

For the vertical asymptote, you'll need a denominator that equals zero when x=0... eg have a 1/x in your equation. For a slant asymptote y=-x, have a lone -x in your equation...
\[\Large y = -x + \frac{ 1 }{ x }\]