The following are explanations of the transformation:
1) y = (5/2)x + 3 shows that the parent function y = x was dilated by a factor of (5/2) and then it was translated upwards by 3 units along the vertical y axis.
2) y = -(3/2)x - 2 shows that the parent function has been dilated by a factor of (3/2) and its direction of slope has been reversed from upwards to downwards. Also, it has been translated downwards by 2 units along the vertical y axis