4. (10 points) Let A = (6,7), B = (4,11), and C = (2,10) be three points in the xy-coordinate

plane.

(a) Verify that the three points form a right triangle.

(b) Determine the midpoint of the hypotenuse of the right triangle.

(c) Find the equation of the line through the midpoint of the hypotenuse and the vertex opposite the hypotenuse.