Question

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

Answer 1

ANSWER

(-1,5)

(7,5)

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:

$t = \frac{x - 3}{4}$

We put this into the second equation to get;

$y =5( \frac{x - 3}{4} )^{2}$

When x=-1,

$y =5( \frac{ - 1- 3}{4} )^{2} = 5$

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

When x=7,

$y =5( \frac{7 - 3}{4} )^{2} = 5$

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