## Calculus (3rd Edition)

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