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:

$\begin{gathered} y=\frac{1}{3x} \\ x=2-t \end{gathered}$

We are to evaluate for y

Substitute x = 2 - t

$y=\frac{1}{3\left(2-t\right)}$

Simplify the equation above

$y=\frac{1}{6-3t}$

Hence, the parametric equation for y is

$y=\frac{1}{6-3t}$

The graph of the equation is shown below