at what point in the first quadrant does the line with equation y = 2 x + 1 intersect the circle with radius 5 and center (0, 1)?

Answer 1

An equation of the circle is x² + (y-1)² = 25

Since y = 2x + 1, we have x² + 4x² = 25.

So, 5x² = 25.

x = √5

The graphs intersect in the first quadrant at the point (√5, 2√5 + 1).