If the tangent of point P passing through the parabola y = x ^ 2 is parallel to the straight line 4x-y-5 = 0, then the coordinate of point P is the tangent equation passing through point P?

When y = x ^ 24x-y-5 = 0, y = 4x-5y = 4x + MX ^ 2 = 4x + m x ^ 2-4x-m = 0 (X-2) ^ 2-4-m = 0 (X-2) ^ 2 = 4 + m m m = - 4, X has a unique x = 2: P (2,4), the tangent equation of point P is y = 4x-4

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