Open Middle: Perpendicular Bisector of a Segment (2)

Your task:

Your task:

Move POINTS A and B to create different segments. Fill in the blanks (right side) to graph the equation of what you think the equation of the perpendicular bisector is. Then move point C so it lies on the perpendicular bisector.

Create a setup that is ENTIRELY DIFFERENT from the one you created above that still satisfies the constraints of this problem.

Create a setup that is ENTIRELY DIFFERENT from the two setups you created above that still satisfies the constraints of this problem.

What is the highest possible value you can create for the slope of the perpendicular bisector line? Try to build it here: