Answer
The solutions:
$c(t)=(4+t,1+2t)$ and $c(t)=(4+3t,1+6t)$
Work Step by Step
Using equation (3), the line through $(4,1)$ of slope 2 is parametrized by
$x=4+r t$, ${}$ ${}$ $y=1+s t$, ${}$ ${}$ $-\infty
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
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: 6
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