Page 22 - Calculus Demystified
P. 22

Basics
                     CHAPTER 1
                                                    y                                             9






                                                    1
                                                        1           x








                                                    Fig. 1.12


                                                       y









                                                                     x







                                                    Fig. 1.13

                     It turns out that, no matter which two points we may choose on a given line, this
                     calculation will always give the same answer for slope.

                         EXAMPLE 1.8
                         Calculate the slope of the line in Fig. 1.16.
                         SOLUTION
                           We use the points P = (−1, 0) and Q = (1, 3) to calculate the slope of
                         this line:
                                                    3 − 0     3
                                              m =          = .
                                                  1 − (−1)    2
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