1. The problem statement, all variables and given/known data On the circles y^2+x^2=1 and y^2+(x-3)^2=4 There is a line with positive slope that is tangent to both circles. Determine the points at which this tangent touches each circle. 2. Relevant equations the derivative of the first circle i found: y'=-x/y the derivative of the second cirlce I found: y'=-2x+6/2y and also x^2+y^2=1 3. The attempt at a solution so I have these equations for slopes: -x1/y1 -2x2+6/2y2 y2-y1/x2-x1 Now where do I go from here, can someone get me started with the rearranging or whatever?