Question 969250
Parallel lines have identical slopes.
{{{m=1/4}}}
Use the point-slope form with the point.
{{{y-(-1)=(1/4)(x-8)}}}
{{{y+1=(1/4)x-2}}}
{{{y=(1/4)x-3}}}
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*[illustration desx8.JPG].
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Perpendicular lines have slopes that are negative reciprocals.
{{{m[1]*m[2]=-1}}}
{{{-4*m[2]=-1}}}
{{{m[2]=1/4}}}
Again, point slope form,
{{{y-(-1)=(1/4)(x-0)}}}
{{{y+1=(1/4)x}}}
{{{y=(1/4)x-1}}}
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.
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*[illustration desx9.JPG].