EXAMPLE 5 Find an equation of the tangent line to the parabola y=x²- 8x +9 at the point (2, -3). SOLUTION From the previous example, we know the derivative of f(x)=x²-3x+9 at the number a is f'(a) = 2a-8. Therefore the slope of the tangent line at (2, -3) is F'(2) = 2(2) - 8 = Thus an equation of the tangent line, shown in the figure, is y- y= or

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