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**Equations of Tangent Lines**

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Objective To use the derivative to find an equation of a tangent line to a graph at a point. TS: Explicitly assessing information and drawing conclusions.

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**Equations of Tangent Lines**

Find the equation of the tangent line to

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**Equations of Tangent Lines**

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**Equations of Tangent Lines**

Find the equation of the tangent line to Slope of f(x) at any x value Slope of the tangent line at (7, 15)

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**Equations of Tangent Lines**

We now have the slope and a point. We want the equation of the line with slope of 9 and going through (7,15).

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**Equations of Tangent Lines**

Find the equation of the tangent line to

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**Equations of Tangent Lines**

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**Equations of Tangent Lines**

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**Equations of Tangent Lines**

Find the equation of the tangent line to Slope of f(x) at any x value Slope of the tangent line at x = 4

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**Equations of Tangent Lines**

We now have the slope and the x-coordinate of a point. We first need to get the y-coor, then we will have both the slope and the point for our line.

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Conclusion The derivative is a formula used to find the slope of the tangent line to a function. To find the slope of the tangent line to a function, first, find the derivative and, second, plug the corresponding x-value into the derivative. To write an equation for the tangent line, use the derivative value (the slope), and the corresponding point on the function.

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Point-Slope Form Thursday, November 4, 2010. Formula y – y 1 = m(x – x 1 ) – y 1 is the y-coordinate – m is the slope – x 1 is the x-coordinate.

Point-Slope Form Thursday, November 4, 2010. Formula y – y 1 = m(x – x 1 ) – y 1 is the y-coordinate – m is the slope – x 1 is the x-coordinate.

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