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Core Mathematics C1 Advanced Subsidiary Coordinate Geometry - Maths Genie

3. Figure 1 The points A and B have coordinates (6, 7) and (8, 2) respectively. The line l passes through the point A and is perpendicular to the line AB, as shown in Figure 1. (a) Find an equation for l in the form ax + by + c = 0, where a, b and c are integers.(4) Given that l intersects the y-axis at the point C, find (b) the coordinates of C,(2) (c) the area of ΔOCB, where O is the origin.