Given:
A line segment with initial point (–5, 3) and terminal point (1, –6).
To find:
The set of parametric equations over the interval 0 ≤ t ≤ 1 which defines the given line segment.
Solution:
Initial point is (–5, 3). So,

Terminal point is (1, –6).

Check which of the given set of parametric equations satisfy
.
Put t=1 in each set of parametric equations.
In option A,

So, option A is incorrect.
In option B,

So, option B is incorrect.
In option C,


Put t=0, in this set of parametric equations.


So, option C is correct.
In option D,


So, option D is incorrect.