#### Answer

The slope and y-intercept of the given equation $y=\frac{2}{5}x-1$ of the line is $\frac{2}{5}$ and -1.

#### Work Step by Step

The given equation of the line is
$y=\frac{2}{5}x-1$
Compare the given equation with the general slope-intercept form:
$y=mx+c$
Slope $=\frac{2}{5}$
Now, to find the y-intercept, substitute $x=0$ in the given equation:
$\begin{align}
& y=\frac{2}{5}\left( 0 \right)-1 \\
& y=-1
\end{align}$