Question 1068097
Parallel lines have identical slopes.
{{{y[par]=5x+b}}}
Use the point to find {{{b}}},
{{{9=5(5)+b}}}
{{{9=25+b}}}
{{{b=-16}}}
So,
{{{y[par]=5x-16}}}
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*[illustration gd1.JPG].
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Perpendicular lines have slopes that are negative reciprocals
{{{5*m[2]=-1}}}
{{{m[2]=-1/5}}}
{{{y[perp]=-(1/5)x+b}}}
Use the point to find {{{b}}},
{{{9=-1/5(5)+b}}}
{{{9=-1+b}}}
{{{b=10}}}
{{{y[perp]=-(1/5)x+10}}}
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*[illustration gd2.JPG].