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Example 5 of how to find the equation of a hyperbola

In xy-plane, M(x, y) is a moving point. F2(13, 0) is a fixed point. L is a fixed line with the equation x = 144/13. The distance from the moving point M to the fixed line L is d. The distance from the moving point M to the fixed point F2 is MF. The ratio of MF to d is the constant 13/12. What is the equation for the moving point M?