1. The lines y=1, y=3, and y=x are drawn along with the point P=(3,0). For certain slopes m, the line P through with slope m will intersect the three given lines so that one of the three points of intersection is the midpoint of the other two points. Find all such values of m.
2. Determine all values of k for which the points A = (1,2), B= (11,2), and C=(k,6) form the vertices of a right-angled triangle