In the diagram below, the line l has equation 2x + 3y + 6 = 0. It cuts the x axis at A and the y axis at B and it intersects the line k at C. Line k is perpendicular to l and cuts the x axis at D.
Find the coordinates of A and B. If B is the midpoint of AC show that the equation of k is given by 3x − 2y − 17 = 0.
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