The following figure shows a circle centered at the origin and a line that is tangent to...

The following figure shows a circle centered at the origin and a line that is tangent to the circle at the point (3, -4).

(a) Find an equation of the tangent line. Hint: Make use of the theorem from elementary geometry stating that the tangent line is perpendicular to the radius drawn to the point of contact.

(b) Find the intercepts of the tangent line.

(c) Find the length of the portion of the tangent line in quadrant IV.