Chapter 10 - Analytic Geometry - 10.7 Plane Curves and Parametric Equations - 10.7 Assess Your Understanding - Page 695: 28

1) $x=t; y=-8t+3,-\infty\lt t\lt \infty$ 2) $x=2t; y=-16t+3,-\infty\lt t\lt \infty$

Work Step by Step

We are given the rectangular equation: $y=-8x+3$ One set of parametric equations is: $\begin{cases} x=t\\ y=-8t+3 \end{cases}$ with $-\infty\lt t\lt \infty$ Another set of parametric equations is: $\begin{cases} x=2t\\ y=-16t+3 \end{cases}$ with $-\infty\lt t\lt \infty$

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