Answer:
D: x = 7 - t; y = -1/(t-7)
Step-by-step explanation:
We are given the rectangular equation.
t = 7 - x
y = 1/x
Now, from the first equation, let's make x the subject;
x = 7 - t
Let's put 7 - t for x in the second equation to obtain;
y = 1/(7 - t)
7 - t can also be expressed as -(t - 7)
Thus;
y = 1/-(t - 7)
y = -1/(t-7)
Thus, the parametric equations are;
x = 7 - t; y = -1/(t-7)