Find a set of parametric equations for the rectangular equation that satisfies the given condition. (Enter your answers as a comma-separated list.) y = 2x − 2, t = 0 at the point (3, 4)

Answer:x = 3 - t and y = 4 - 2t Step-by-step explanation:We have to find such a set of parametric equations for the given equation which result in an x-value equal to 3 and a y-value equal to 4 when t is substituted as 0.There can be more than 1 possible answers to this problem. You have to use hit and trial method to come up with the correct set of parametric equations. One of the possible set is:y = 4 - 2t , x = 3 - tFor t = 0x= 3 and y = 4Hence, the condition is satisfied.Now checking if these parametric equations result in given equation or not.From second equation, we get:t = 3 - xUsing this value in first equation, we get:y = 4 - 2(3 - x)y = 4 - 6 + 2xy = 2x - 2Which is the given equation.Hence the set of parametric equation is:x = 3 - t and y = 4 - 2t