\begin{equation*}
\begin{split}
x & = 10t \\\\
\frac {dx}{dt} & = 10
\end{split}
\end{equation*}
\begin{equation*}
\begin{split}
y & = 20 - 5t^2 \\\\
\frac {dy}{dt} & = -10t
\end{split}
\end{equation*}
\begin{equation*}
\begin{split}
\frac {dy}{dx} & = \frac {\dfrac {dy}{dt}}{\dfrac {dx}{dt}} \\\\
\frac {dy}{dx} & = \frac {-10t}{10} \\\\
\frac {dy}{dx} & = -t \\\\
\frac {dy}{dx} & = -2
\end{split}
\end{equation*}