2. The area of the triangle formed by the line L of the fixed point m (1,4) and the coordinate axis in the first quadrant is the smallest

Let the linear equation be y-4 = K (x-1), that is, y = KX + 4-k
Then the intersection points of the line and x-axis, Y-axis are respectively: [(K-4) / K, 0], (0,4-k)
Because the straight line and the coordinate axis form a triangle in the first quadrant, there are (K-4) / k > 0,4-k > 0

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