Question

Construct parametric equations describing the graph of the following equation.1y =3хIf x = 2 – 1, find the parametric equatics for y.=

Answer 1

Given:

`\begin{gathered} y=(1)/(3x) \\ x=2-t \end{gathered}`

We are to evaluate for y

Substitute x = 2 - t

`y=(1)/(3\left(2-t\right))`

Simplify the equation above

`y=(1)/(6-3t)`

Hence, the parametric equation for y is

`y=(1)/(6-3t)`

The graph of the equation is shown below