Math: Parametric Equations

The graph of the parametric equations
x=cos(t)
y=sin(t)
meets the graph of the parametric equations
x=2+4cos(s)
y=3+4sin(s)
at two points. Find the slope of the line between these two points.

So far I've set up the system of equations
cos(t)=2+4cos(s)
sin(t)=3+4sin(s)
but it seems to be getting me nowhere.

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asked by Katie
  1. since sin^2(t)+cos^2(t) = 1,

    (2+4cos(s))^2 + (3+4sin(s))^2 = 1

    See where that gets you.

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    posted by Steve

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