Distance between points - equation of a line I have worked on this particular example: 
The distance between the point $M_1(3,2)$ and $A$ is $2\sqrt5$ and the distance between the point $M_2(-2, 2)$ and $B$ is $\sqrt5$. Come up with a equation for the line going through $A$ and $B$. 
I have tried playing around with the equations for the circles with centers in $M_1$ and $M_2$ respectively (the radii being the distance between $M_1$ and $A$, that is the distance between $M_2$ and $B$ for the other circle), but I am stuck. 
Would appreciate any help.
Thanks in advance. 
P.S. I am probably wrong but, isn't there infinitely many solutions since with the data I'm given I am basically being asked to come up with a particular equation for a line connecting any two points on those circles ? 

Here is a diagram to your problem. Yes: there are infinitley many lines that go through both circles. In the diagram the red dot represents $M_2$ and the blue dot represents $M_1$

