Find the coordinates of the point on the curve

y = x^{2} − 4x + 3, where the gradient is 6.

Differentiating y' = 2x − 4

When gradient is 6, y' = 6

6 = 2x − 42x = 10x = 5

when x = 5

y = 5^{2} − 4x5 + 3y = 8

The coordinates are (5, 8)

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