# Lesson tangent lines

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 Algebra: Functions, Domain, NOT graphing Solvers Lessons Answers archive Quiz In Depth
 This Lesson (tangent lines) was created by by katealdridge(100)  : View Source, ShowAbout katealdridge: math tutor and CT certified math teacher A function y = f(x) and an x-value are given. (a) Find a formula for the slope of the tangent line to the graph of f at a general point (b) Use the formula obtained in part (a) to find the slope of the tangent line for the given value of 16. a. use this formula to evaluate the limit to find the slope of the tangent line. distribute the negative the 2s cancel rearrange the terms factor using difference of squares cancel all factors now substitute for x this is the general formula for the slope of the tangent line at any b. at the slope of the tangent line at x=2 is 7. This lesson has been accessed 1488 times.