- A set of points \(P ( x , y )\) is defined by the parametric equations
$$x = \frac { t - 1 } { 2 t + 1 } \quad y = \frac { 6 } { 2 t + 1 } \quad t \neq - \frac { 1 } { 2 }$$
- Show that all points \(P ( x , y )\) lie on a straight line.
- Hence or otherwise, find the \(x\) coordinate of the point of intersection of this line and the line with equation \(y = x + 12\)