Question 89667
(3,y) defines a vertical line at x=3 ... all the points at a distance of 12 units from point (-2,9) is a circle


since the line is less than 12 units from the point, the line will intersect the circle in two places


the general formula for a circle of radius r centered at (h,k) is (x-h)^2+(y-k)^2=r^2 ... in this case (3-(-2))^2+(y-9)^2=144


25+(y-9)^2=144 ... (y-9)^2=119 ... {{{y-9=+- (sqrt(119))}}} ... {{{y=9+-sqrt(119)}}}