Question 1009632
Point-slope form equation comes from formula for slope according to its definition.


Points  (p,w) and (x,y) have a slope {{{m=(y-w)/(x-p)}}}.
{{{m(x-p)=((y-w)/(x-p))(x-p)}}}
{{{m(x-p)=y-w}}}
{{{highlight_green(y-w=m(x-p))}}}------point-slope equation form, slope m, known point  (p,w).



You will handle questions 1 and 2 yourself.


#3, if parallel, then slope is the same.
{{{y-(-3)=(3/5)(x-0)}}}
{{{highlight(y+3=(3/5)x)}}}


#4, if perpendicular, then slope to use is the negative reciprocal.
{{{y-10=(1/2)(x-(-3))}}}
{{{highlight(y-10=(1/2)(x+3))}}}