Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 10 - Analytic Geometry - Chapter Review - Review Exercises - Page 700: 32

Answer

$x+4y-2=0$ See graph

Work Step by Step

We are given the curve in parametric form: $\begin{cases} x=4t-2\\ y=1-t \end{cases}$ with $-\infty\lt t\lt \infty$ Build a table of values: $t=-2; x=-10; y=3; (x,y)=(-10,3)$ $t=-1; x=-6; y=2; (x,y)=(-6,2)$ $t=0; x=-2; y=1; (x,y)=(-2,1)$ $t=1; x=2; y=0; (x,y)=(2,0)$ $t=2; x=6; y=-1; (x,y)=(6,-1)$ Plot the points and join them to graph the curve: Determine the rectangular form of the equation: $t=1-y$ $x=4(1-y)-2$ $x=4-4y-2$ $x+4y-2=0$
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