Question

Eliminate the parameter for the following set of parametric equations:x=t+6y=3t-1

Answer 1

`y=3x-19`

Explanation:

To eliminate the parameter, solve one of the parametric equations for the parameter. Then substitute this result for the parameter in the other parametric equation and simplify.

Therefore for the given parametric equations:

`\begin{gathered} x=t+6 \\ t=x-6 \\ \text{ Substitute it into the other equation:} \end{gathered}`
`\begin{gathered} y=3(x-6)-1 \\ y=3x-18-1 \\ y=3x-19 \end{gathered}`