Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 12 - Parametric Equations, Polar Coordinates, and Conic Sections - 12.1 Parametric Equations - Exercises - Page 603: 29


$$x= -4+t, \quad y= 9+8t.$$

Work Step by Step

Since the slope $m=8$, then we have $s/r=8$ so take $r=1$ and $s=8$. Then, the parametric equations are $$x=a+rt=-4+t, \quad y= b+st=9+8t.$$ That is, $$c(t)=(x(t),y(t))=(-4+t,,8t+9).$$
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