5.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{2043b938-ed3f-4b69-9ea9-b4ab62e2a8ce-10_891_850_295_609}
\captionsetup{labelformat=empty}
\caption{Figure 1}
\end{figure}
\section*{In this question you must show all stages of your working.}
\section*{Solutions relying on calculator technology are not acceptable.}
The straight line \(l _ { 1 }\), shown in Figure 1, passes through the points \(P ( - 2,9 )\) and \(Q ( 10,6 )\).
- Find the equation of \(l _ { 1 }\), giving your answer in the form \(y = m x + c\), where \(m\) and \(c\) are constants to be found.
The straight line \(l _ { 2 }\) passes through the origin \(O\) and is perpendicular to \(l _ { 1 }\)
The lines \(l _ { 1 }\) and \(l _ { 2 }\) meet at the point \(R\) as shown in Figure 1. - Find the coordinates of \(R\)
- Find the exact area of triangle \(O P Q\).