Question

Which points are on the plane curve described by the following set of parametric equations? Select TWO

X = 4t + 3 and Y = 5t^2

Answer Choices:

(-1 , -5)
(-1 , 5)
(1 , 7)
(2 , 11)
(7 , 5)

Answer 1

(-1,5)

(7,5)

Step-by-step explanation

The given set of parametric equations is:

`x = 4t + 3`

and

`y = 5 {t}^(2)`

We make t the subject in the first equation to get:

`t = (x - 3)/(4)`

We put this into the second equation to get;

`y =5( (x - 3)/(4) )^(2)`

When x=-1,

`y =5( ( - 1- 3)/(4) )^(2) = 5`

Therefore (-1,5) lies on this line.

When x=7,

`y =5( (7 - 3)/(4) )^(2) = 5`

Therefore (7,5) also lie on this line.