Question

Construct parametric equations describing the graph of the following equation.y = 3x + 8If y = 3 + 1, find the parametric equation for x.

Answer 1

We want to compute the parametric equations for x and y;

`y=3x+8`

We are given;

`y=3+t`

Substituting for x;

`\begin{gathered} 3+t=3x+8 \\ -3x=-t+8-3 \\ -3x=-t+5 \\ x=(t)/(3)-(5)/(3) \end{gathered}`

Thus, the equation for x is given by;

`x=(t)/(3)-(5)/(3)`