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: 31


$$x =3+8t, \quad y= 1-3t.$$

Work Step by Step

First, we find the slope $m=\frac{4-1}{-5-3}=\frac{3}{-8}$. Now, we have $m=\frac{s}{r}=-\frac{3}{8}$ so take $r=8$ and $s=-3$. Then, the parametric equations are $$x=a+rt=3+8t, \quad y= b+st=1-3t.$$ That is, $$c(t)=(x(t),y(t))=(3+8t,1-3t).$$
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.