the line shown in the figure below is the only line of symmetry for a hexagon. the figure shows three of the hexagons vertices. what are the coordinates.of the other tree vertices.

Solution
We have the following coordinates given:
a= (4,4)
b= (3, -1)
c= (-2, -2)
Then the other 3 coordinates are:
(1,7) (-4,6) (-5,1)
Since the equation for the line given is : y= x-3