Question 772604
(I)
If slopes for k and h are equal, then k and h are parallel; but if all four given points are on the same line, then k and h are equal or, "congruent".


(II)
{{{m[k]=(4-2)/(-4-4)=-(1/4)}}}
{{{m[h]=(-3-1)/(8-(-8))=-(4/16)=-(1/4)}}}


(III)
Are these lines the same?
{{{y=mx+b}}}
{{{b=y-mx}}}
The formula for b allows to quickly determine the y-intercept for a line from slope-intercept form.  Pick any of the line's points.
k:   {{{b=2-(-1/4)4=2+1=3}}}
h:   {{{b=1-(-1/4)(-8)=1-2=-1}}}


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h and k are different lines with the same slope, so THEY ARE PARALLEL.
h is {{{y=-(1/4)x-1}}} and k is {{{y=-(1/4)x+3}}}
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