Question

Find two different parametric equations for$y=-2x+4$

Short answer

The two different parametric equation are$y=-2t+4,y=-2t^2+4$

Step-by-step solution

Step 1. Given Information

Given to determine two different parametric equations for$y=-2x+4$

Step 2. First parametric equation

To determine the parametric equation, let $x=t$.

Plugging the value in the equation and isolating $y$:

$$\begin{gathered} y=-2x+4 \\ y=-2t+4 \end{gathered}$$

Step 3. Second parametric equation

To determine the parametric equation, let $x=t^2$.

Plugging the value in the equation and isolating $y$:

$$\begin{gathered} y=-2x+4 \\ y=-2t^2+4 \end{gathered}$$

Step 4. Conclusion

Hence the two different parametric equations are$y=-2t+4,y=-2t^2+4$