We have a line with the equation y=(-4/3)x+4.

The circle has a radius 1, and the top of the circle also has the tangent line y=2, and the bottom has a tangent line y=0.

We need to find k in the diagram below or at least the point where y=(-4/3)x+4 intersects the circle.

We are at a loss on how to solve this, but are sure that we're overthinking this. Can anyone help us get started?

EDIT: the center of the circle should be(k, 1), not (k, 2).