Where does the line <x,y>=<4t,3t> intersect the circle ?

I am quite not sure about my solution and my answer.

From <x,y>=<4t,3t>

=>> x=4t and y=3t

Then, substitute x and y to .

==>>

==>>

==>>

At t=1,-1 is the intersection point?

And is this what the question asked?