Answer
(a)
Slope-intercept form is,\[y=mx+b\], where \[m\] is the slope and \[b\]is the \[y\]-intercept.
Consider the provided equation,
\[2x+y=0\]
The equation in the form of \[y=mx+b\] can be written as,
\[\begin{align}
& y=0-2x \\
& =-2x
\end{align}\]
Hence, the equation in slope-intercept is,\[y=-2x\].
(b)
Consider the given equation,\[2x+y=0\].
The slope intercept form of the provided equation is,
\[y=-2x+0\]
Compare it with \[y=mx+b\] gives,
\[m=-2\]and\[b=0\]
Hence, the slope of the equation is,\[-2\]and the\[y\]-intercept is,\[0\].