2. A curve \(C\) has parametric equations
$$x = \frac { 3 } { 2 } t - 5 , \quad y = 4 - \frac { 6 } { t } \quad t \neq 0$$
- Find the value of \(\frac { \mathrm { d } y } { \mathrm {~d} x }\) at \(t = 3\), giving your answer as a fraction in its simplest form.
- Show that a cartesian equation of \(C\) can be expressed in the form
$$y = \frac { a x + b } { x + 5 } \quad x \neq k$$
where \(a , b\) and \(k\) are integers to be found.