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 - Chapter Review Exercises - Page 638: 2



Work Step by Step

Since the line is perpendicular to the line $y=4x-3$, then its slope is $m=-\frac{1}{4}$. Then we have $\frac{s}{r}=-\frac{1}{4}$, so take $r=4$ and $s=-1$. Then, the parametric equations are $$x=a+rt=2+4t, \quad y= b+st=5-t.$$ That is, $$c(t)=(x(t),y(t))=(2+4t,5-t).$$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.