2.7.63 Function properties

condition: Given the equation of motion of the point \( \left\{\begin{array}{l}x=-2 t-2 \\ y=-\frac{2}{t+1}\end{array}\right. \) and the initial time \( t_{0}=2 \). a) find the equation of motion in the Cartesian coordinate system, b) construct the resulting curve, c) find the point from which the movement begins, d) is the entire curve the trajectory of the point’s movement? Indicate on the drawing the direction of movement of the point.