I have a parametrically defined curve

$\displaystyle x(t) = \frac {1}{t}$

and

$\displaystyle y(t) = -2 + lnt $

I need to find the equation for the tangent line to the curve at the point defined by t = 1

Now, i think i need to find $\displaystyle \frac{dy}{dx}$

the dirivitive of x = $\displaystyle -\frac{1}{t^2}$ ?

Would the dirivitive of y = $\displaystyle \frac{1}{t}$ ?

then, i evaluate t= 1?

then, take the dirivitive of dy again?

then use point slope form?