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 - 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
