Graph all vertical and horizontal asymptotes of the rational function. $$ f(x)=\frac{10 x-7}{-4 x+6} $$

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Find the vertical asymptotes of $$ (10*x-7)/(-4*x+6) $$.
Function by following steps:
- step0: Find the vertical asymptotes:
  $$y=\frac{10x-7}{-4x+6}$$
- step1: Evaluate the limit:
  $$\lim _{xightarrow \frac{3}{2}}\left(\frac{10x-7}{-4x+6}ight)$$
- step2: Evaluate the left-hand and the right-hand limits:
  $$\begin{align}&\lim _{xightarrow \frac{3}{2}^{-}}\left(\frac{10x-7}{-4x+6}ight)\&\lim _{xightarrow \frac{3}{2}^{+}}\left(\frac{10x-7}{-4x+6}ight)\end{align}$$
- step3: Evaluate the left-hand limit:
  $$\begin{align}&+\infty\&-\infty\end{align}$$
- step4: Limit does not exist:
  $$	extrm{The limit does not exist}$$
- step5: $$x=\frac{3}{2}$$ is a vertical asymptote$$:$$
  $$\begin{align}&x=\frac{3}{2}	extrm{ }	extrm{is a vertical asymptote}\end{align}$$
- step6: List all vertical asymptotes of the function:
  $$\begin{align}&x=\frac{3}{2}\end{align}$$
Find the horizontal asymptotes of $$ (10*x-7)/(-4*x+6) $$.
Function by following steps:
- step0: Find the horizontal asymptotes:
  $$y=\frac{10x-7}{-4x+6}$$
- step1: Evaluate the limits $$\lim _{xightarrow +\infty}\left(yight)$$ and $$\lim _{xightarrow -\infty}\left(yight):$$
  $$\begin{align}&\lim _{xightarrow +\infty}\left(\frac{10x-7}{-4x+6}ight)\&\lim _{xightarrow -\infty}\left(\frac{10x-7}{-4x+6}ight)\end{align}$$
- step2: Calculate:
  $$\begin{align}&-\frac{5}{2}\&-\frac{5}{2}\end{align}$$
- step3: The finite values are horizontal asymptotes:
  $$\begin{align}&y=-\frac{5}{2}\end{align}$$
The vertical asymptote of the rational function $$ f(x)=\frac{10x-7}{-4x+6} $$ is $$ x=\frac{3}{2} $$ and the horizontal asymptote is $$ y=-\frac{5}{2} $$.
The vertical asymptote is $$ x=\frac{3}{2} $$ and the horizontal asymptote is $$ y=-\frac{5}{2} $$.

Graph all vertical and horizontal asymptotes of the rational function.

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