Question 355701
Convert the line to slope-intercept form, {{{y=mx+b}}}.
{{{2x+y=9}}}
{{{y=-2x+9}}}
Perpendicular lines have slopes that are negative reciprocals.
{{{m[1]*m[2]=-1}}}
{{{-2*m[2]=-1}}}
{{{m[2]=1/2}}}
.
.
.
{{{y=(1/2)x+b}}}
Use the point to determine {{{b}}}
{{{1=(1/2)(1)+b}}}
{{{b=1/2}}}
.
.
{{{highlight(y=(x+1)/2)}}}
.
.
.
{{{drawing(300,300,-2,7,-2,7,grid(1),circle(1,1,0.3),graph(300,300,-2,7,-2,7,-2x+9,(x+1)/2))}}}