Question: The points A, B and C have co-ordinates (1, 3), (2, 6) and (4, 2) respectively as shown in the diagram below. The diagram is

The points A, B and C have co-ordinates (1, 3), (2, 6) and (4, 2) respectively as shown in the diagram below. The diagram is not to scale. B (2, 6) A ( 1 , 3 ) . C (4, 2) X a) Find the gradient and length of the line segment BC. b) Find the equation of the line perpendicular to BC and passing through A. C) Show that the line found in part (b) passes through the midpoint of BC. (AC 3.1, AC 3.2 and AC 3.3)

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