Question 337698
Convert the line to slope-intercept form.
{{{-5y=-15x-8}}}
{{{y=3x+8/5}}}
Perpendicular lines have slopes that are negative reciprocals,
{{{m1*m2=-1}}}
{{{3*m2=-1}}}
{{{m2=-1/3}}}
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.
{{{y=-(1/3)x+b}}}
The y-intercept (b) is (0,-8).
{{{highlight(y=(-1/3)x-8)}}}
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.
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{{{drawing(300,300,-10,10,-12,8,grid(1),circle(0,-8,0.4),graph(300,300,-10,10,-12,8,3x+8/5,-(1/3)x-8))}}}