Question 1065576
Given line is y=-2, a horizontal line, slope 0.


Starting in point slope form,
Parallel, containing required  (-4,1),
{{{y-1=0*(x+4)}}}

{{{y-1=0}}}

{{{y=1}}}, which you could find without using any algebra.  This would be the same as saying for standard form,  {{{0*x+y=1.}}}.



The perpendicular line containing  (-4,1)?
No slope for this line.  Vertical line!  (Also, no vertical axis intercept.)
{{{x=-4}}}