Answer
$\text{slope: }
\dfrac{2}{5}
\\\text{$y-$intercept: }
-\dfrac{4}{3}
$
Work Step by Step
Using the properties of equality, the given equation, $
6x-15y=20
,$ is equivalent to
\begin{array}{l}
-15y=-6x+20
\\\\
y=\dfrac{-6}{-15}x+\dfrac{20}{-15}
\\\\
y=\dfrac{2}{5}x-\dfrac{4}{3}
.\end{array}
Using $y=mx+b$ (or the Slope-Intercept Form), where $m$ is the slope and $b$ is the $y-$intercept, then the equation above has the following characteristics:
\begin{array}{l}
\text{slope: }
\dfrac{2}{5}
\\\text{$y-$intercept: }
-\dfrac{4}{3}
.\end{array}