2 A curve is defined by the parametric equations
$$x = 3 - 4 t \quad y = 1 + \frac { 2 } { t }$$
- Find \(\frac { \mathrm { d } y } { \mathrm {~d} x }\) in terms of \(t\).
- Find the equation of the tangent to the curve at the point where \(t = 2\), giving your answer in the form \(a x + b y + c = 0\), where \(a , b\) and \(c\) are integers.
- Verify that the cartesian equation of the curve can be written as
$$( x - 3 ) ( y - 1 ) + 8 = 0$$