State whether the following lines are parallel or not and why?
1.
(a) \frac{x+2}{3} = \frac{y-1}{-2} and $(x,y) = (0,-1) + t(-6,-4)$
(b) $x = 2s$
$y = 4-1$
$z = 5+3s$ and $(x,y,z) = (5,-1,2) + t(-2,1,-3)$
(c) $(x+1,y,z) = s(-1,-2,0)$ and $\vec{r} = (1,0,0) + t(3,6,0)$
2.
Find the parametric equations of the line through the points $(-1,2,-3)$ and $(2,-1,4)$.