Find the pt. at which the tangent line to the curve x=3t^2 - t, y=2t+t^3 at t=1 intersects the line y=2-x.
Possibly <6t-1, 2+3t^2> if the tangent is not already present
The Attempt at a Solution
I am confused about how to go about solving this. Where should I use the t=1? I thought about parametrizing y=2-x, but I am unsure about how to do this. Do I assume 0=f(x,y)=2-x-y?
The answer is (1/2, 3/2) but I have no idea how to get there.