The graph below shows the function \(f(x)=\dfrac{2x-5}{7x+5} \) in the standard \((x,y)\) coordinate plane. Which of the following is an equation of the horizontal asymptote of \(f(x)\) ?

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For a rational function where the degree of the numberator and denominator are equal, the horizontal asymptote will be the ratio of the leading coefficients.

$$ f(x)=\frac{\colorbox{yellow}{2}x-5}{\colorbox{yellow}{7}x+5} $$ $$ y= \frac{2}{7} $$