Question 948801
Examine some of the data carefully.  The given line is equivalent to y=x+7.  You will find that the given point (-5,2) is on this line.  Knowing that should be helpful for you.


(-5,2)  is a point of tangency.  The line perpendicular to y=x+7 which contains (-5,2) will also contain the center point of the circle.  m=-1 for this line.  y=-x-3 is the line which contains the center point of the circle.  You may well be able to continue from here.