If we know that the three vertices of △ ABC are a (2,2), B (0,1), C (4,3), and the point d (m, 1) is on the line where the height of the edge BC is located, then the real number M=______ .

If we know that the three vertices of △ ABC are a (2,2), B (0,1), C (4,3), and the point d (m, 1) is on the line where the height of the edge BC is located, then the real number M=______ .

From B (0,1), C (4,3), so KBC = 3 − 14 − 0 = 12, and a (2,2), so the linear equation of the height of edge BC is Y-2 = - 2 (X-2), that is, 2x + y-6 = 0. And point d (m, 1) is on the line of the height of edge BC, so 2m + 1-6 = 0, and the solution is m = 52