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.
the derivative of the first circle i found:
the derivative of the second cirlce I found:
The Attempt at a Solution
so I have these equations for slopes:
Now where do I go from here, can someone get me started with the rearranging or whatever?