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)

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 - t

For t = 0

x= 3 and y = 4

Hence, the condition is satisfied.

Now checking if these parametric equations result in given equation or not.

From second equation, we get:

t = 3 - x

Using this value in first equation, we get:

y = 4 - 2(3 - x)

y = 4 - 6 + 2x

y = 2x - 2

Which is the given equation.

Hence the set of parametric equation is:

x = 3 - t and y = 4 - 2t