7.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{6db8acbd-7f61-46ff-8fdc-f0f4a8363aa6-10_869_1073_267_440}
\captionsetup{labelformat=empty}
\caption{Diagram NOT to scale}
\end{figure}
Figure 2
Figure 2 shows a right angled triangle \(L M N\).
The points \(L\) and \(M\) have coordinates ( \(- 1,2\) ) and ( \(7 , - 4\) ) respectively.
- Find an equation for the straight line passing through the points \(L\) and \(M\).
Give your answer in the form \(a x + b y + c = 0\), where \(a\), \(b\) and \(c\) are integers.
Given that the coordinates of point \(N\) are ( \(16 , p\) ), where \(p\) is a constant, and angle \(L M N = 90 ^ { \circ }\),
- find the value of \(p\).
Given that there is a point \(K\) such that the points \(L , M , N\), and \(K\) form a rectangle,
- find the \(y\) coordinate of \(K\).