Question

Find two different parametric equations for each rectangular equation.

$y=4x-1.$

Short answer

The two different equations are-

for$x=t,y=4t-1$and for$x=t-2,y=4t-9.$

Step-by-step solution

Step 1. Given information.

$y=4x-1$ is given.

Step 2. Form the two different equation.

For the first parametric equation let $x=t.$

$$\begin{gathered} y=4x-1 \\ \text{Let}x=t \\ y=4t-1 \\ \text{Let}x=t-2 \\ y=4\left(t-2\right)-1 \\ y=4t-8-1 \\ y=4t-9 \end{gathered}$$

Thus, the equations are$y=4t-1,y=4t-9$.