Answer
$$ (x(t),y(t))=(1+ t,3-2t).$$
Work Step by Step
Now, we have the slope $m=\frac{b}{a}=-2$ so take $b=-2$ and $a=1$. Then, the parametric equations are
$$x=x_0+at=1+t, \quad y=y_0+bt=3-2t.$$
That is,
$$ (x(t),y(t))=(1+ t,3-2t).$$
Calculus: Early Transcendentals (2nd Edition)
by Briggs, Bill L.; Cochran, Lyle; Gillett, Bernard
Published by
Pearson
ISBN 10:
0321947347
ISBN 13:
978-0-32194-734-5
Chapter 10 - Parametric and Polar Curves - 10.1 Parametric Equations - 10.1 Exercises - Page 715: 4
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