Question 337196
Convert to slope intercept form,
{{{ x + 3y = 6}}}
{{{3y=-x+6}}}
{{{y=-x/3+2}}}
Perpendicular lines have slopes that are negative reciprocals,
{{{m1*m2=-1}}}
{{{-(1/3)*m2=-1}}}
{{{m2=3}}}
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{{{y=3x+b}}}
Use the point to solve for {{{b}}}.
{{{-5=3(3)+b}}}
{{{b=-14}}}
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{{{highlight(y=3x-14)}}}
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{{{drawing(300,300,-10,10,-10,10,grid(1),circle(3,-5,0.3),graph(300,300,-10,10,-10,10,-(1/3)x+2,3x-14))}}}