Question 901787
Perpendicular lines have slopes that are negative reciprocals.
Change the line to slope-intercept form to find the slope.
{{{9x+y=8}}}
{{{y=-9x+8}}}
{{{m=-9}}}
So then,
{{{m[p]*(-9)=-1}}}
{{{m[p]=1/9}}}
Use this new slope and the point-slope form of a line, then convert to slope intercept form.
{{{y-8=(1/9)(x-4)}}}
{{{y-8=(1/9)x-4/9}}}
{{{y=(1/9)x-4/9+72/9}}}
{{{highlight_green(y=(1/9)x+68/9)}}}
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{{{drawing(300,300,-10,10,-10,10,grid(1),circle(4,8,0.3),graph(300,300,-10,10,-10,10,-9x+8,(1/9)x+68/9))}}}