Question 114937
Vertical Asymptote:


Set the denominator equal to zero


{{{2 - 3x=0}}}





{{{-3x=0-2}}}Subtract 2 from both sides



{{{-3x=-2}}} Combine like terms on the right side



{{{x=(-2)/(-3)}}} Divide both sides by -3 to isolate x




{{{x=2/3}}} Reduce


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Since {{{x=2/3}}} makes the denominator equal to zero, the vertical asymptote is  {{{x=2/3}}}



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Horizontal Asymptote:


You are close, but you're missing a  negative sign


Take the leading coefficient of the numerator (which is 7) and the denominator (which is -3, note the negative) and divide them: {{{7/-3=-7/3}}}



So the horizontal asymptote is {{{y=-7/3}}}