Page 23 - Calculus Demystified
P. 23

10
                                                                 y          CHAPTER 1         Basics








                                                                               x








                                                              Fig. 1.14


                                                                 y



                                                                         Q



                                                            P
                                                                                x








                                                              Fig. 1.15


                                   We could just as easily have used the points P = (−1, 0) and R = (3, 6) to
                                   calculate the slope:

                                                              6 − 0     6   3
                                                       m =           =    = .
                                                            3 − (−1)    4   2
                                  If a line has slope m, then, for each unit of motion from left to right, the line
                               rises m units. In the last example, the line rises 3/2 units for each unit of motion to
                               the right. Or one could say that the line rises 3 units for each 2 units of motion to
                               the right.
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