A dog walking through a yard. Tree A(-2,3), Tree B(4, -6).

Dog is at all times, twice as far from A as it from B.

Draw a graph showing the trees, path of dog and relationship defining the locus.

Write geometric description of the path of the dog, relative to the two trees.

I had no idea where to start, so I plotted the points on the graph and did the equation for Midpoint of AB and plotted that point - but it looks SO OFF!