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Published byJohanne Boram Modified over 3 years ago

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Find the equation of the tangent line. 1.Find the equation for the slopes of the tangent lines 2.Find the slope for the specific x. 3.Find the order pair. 4.Use point slope to find the equation of the tangent line

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1 st example Find the equation of the line tanget to when x=4

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Find the slope equation

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Find the slope Substitute into the slope equation.

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Find the order pair Substitute into the original equation.

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Equation of the tangent line Use the slope and point to find the equation of the tangent line

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Graph to check

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2 nd example Find the equation of the line tanget to when x=-1

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Find the slope equation

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Find the slope Substitute into the slope equation.

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Find the order pair Substitute into the original equation.

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Equation of the tangent line Use the slope and point to find the equation of the tangent line

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Graph to check

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EXAMPLE 1 Find a positive slope Let (x 1, y 1 ) = (–4, 2) = (x 2, y 2 ) = (2, 6). m = y 2 – y 1 x 2 – x 1 6 – 2 2 – (–4) = = 4 6 2 3 = Simplify. Substitute.

EXAMPLE 1 Find a positive slope Let (x 1, y 1 ) = (–4, 2) = (x 2, y 2 ) = (2, 6). m = y 2 – y 1 x 2 – x 1 6 – 2 2 – (–4) = = 4 6 2 3 = Simplify. Substitute.

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