Question

In Problems 1 to 5, all lines are in the $\mathbf{(}\mathit{x}\mathbf{,}\mathit{y}\mathbf{)}$ plane.

5. Write, in parametric form, the equation of the $\mathit{y}$ axis.

Short answer

The parametric form of the equation of $y$- axis is $y=bt$.

Step-by-step solution

Concept of parametric form

To find the parametric form of $\mathit{y}$ axis in equation$\mathit{y}\mathbf{=}\mathit{x}\mathbf{+}\mathit{b}\mathit{t}$

In$\mathit{y}$ axis $\mathit{x}\mathbf{=}\mathbf{0}$.

Determine the parametric form

Consider the equation of$y-$axis is$x=0$.

The parametric form of$y$- axis is$y=x+bt$

$$\begin{gathered} y=0+bt \\ y=bt \end{gathered}$$

Hence, the parametric form of the equation of $y$-axis is$y=bt$.