Question

I seriously need help

Answer 1

Answer:

x(t) = - 5 + 6t and y(t) = 3 - 9t

Step-by-step explanation:

We have to identify the set of parametric equations over the interval 0 ≤ t ≤ 1 defines the line segment with initial point (-5,3) and terminal point (1,-6).

Now, put t = 0 in the sets of parametric equations in the options so that the x value is - 5 and the y-value is 3.

x(t) = - 5 + t and y(t) = 3 - 6t and  

x(t) = - 5 + 6t and y(t) = 3 - 9t

Both of the above sets of equations satisfy this above conditions.

Now, put t = 1 in both the above sets of parametric equations and check where we get x = 1 and y = -6.

So, the only set, x(t) = - 5 + 6t and y(t) = 3 - 9t  satisfies this condition.

Therefore, this is the answer. (Answer)