A triangle has vertices (1, 1), (3, 7) and (5, 4). What is the distance between the centroid and the line 2x = -y - 2? Hint: The coordinate of the centroid can be obtained from the average of the x and y-coordinates of the vertices. Find the distance between the point (5, 1) and the line y = 3x + 1. Find the distance between the lines y = 2x + 5 and y = 2x + 2016.
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