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## Homework Statement

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.

## Homework 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

## The Attempt at a Solution

so I have these equations for slopes:

-x

_{1}/y

_{1}

-2x

_{2}+6/2y

_{2}

y

_{2}-y

_{1}/x

_{2}-x

_{1}

Now where do I go from here, can someone get me started with the rearranging or whatever?