#### Answer

Horizontal asymptote: $y=-\dfrac{3}{5}$

#### Work Step by Step

$f(x)=\dfrac{-3x+7}{5x-2}$
The degrees of the numerator and the denominator are the same. Divide the leading coefficient of the numerator by the leading coefficient of the denominator to obtain the horizontal asymptote of this function:
$y=\dfrac{-3}{5}$
$y=-\dfrac{3}{5}$
Horizontal asymptote: $y=-\dfrac{3}{5}$