Question

Write two different sets of parametric equations for the rectangular equation
y = 3x - 2

Answer 1

x = t, y = 1/t
and
x = 1/t, y = t

You can see that this has a certain symmetry. Work it out by hand--if y=1/x, then xy = 1, then x = 1/y also. So if you let x = t (your parameter), or y = t, then it's simple.