Question 1074036
.
Point (-9,-2) is at {{{8}}} unit distance from line {{{x=-1}}} ,
so the circle will be a circle of radius {{{R=8}}}
centered at point {{{C(-9,-2)}}}.


{{{drawing(600,300,-14,6,-7,3,grid(1),
circle(-9,-2,0.1),red(line(-1, -14,-1, 3)),
red(circle(-9,-2,8)),locate(-2.6,-2,red(x=-1))
)}}}


The equation of a circle is
{{{(x-(-9))^2+(y-(-2))^2=8^2}}} simplifies to
{{{highlight((x+9)^2+(y+2)^2=64)}}} .