Page 99 - Math Course 3 (Book 1)
P. 99

Slope of a Line





                 Find the slope of the line.                       Your Turn!


                                                                  Use Rise and Run to Find Slope

                                                                   Find the slope of a hill that rises 40 feet for every
                                                                   horizontal change of 100 feet.

                                                                   A.  5
                                                                      2

                                                                   B.  2
                                                                      5
                                                                      2
                      Y – y                                        C.  3
                       2
                 m =   x – x 1 1  Definition of slope                 3
                       2
                       3 – 1  (x , y ) = (3, 1)                    D.  5
                 m =            1  1
                      –3 – 3  (x , y ) = (–3, 3)                     Answer
                                   2
                                2
                     2       1
                 m =    or –                                      Use a Graph to Find Slope
                     –6      3
                                                                   Find the slope of the line.
                                                   1
                   Answer           The slope is –      .
                                                   3                  7
                                                                   A.
                                                                      3
                                                                        7
                Positive and Negative Slopes                       B. –  3

                 Examples                                          C.  3
                                                                      7

                                                                   D. –  3
                Find the slope of the line that passes through the      7
                following pair of points. B(2, 7), C(–3, –2)
                      y – y                                          Answer
                       2
                  m =   x – x 1     Definition of slope
                       2   1
                 m =   –2 – 7       (x , y ) = (2, 7)
                                        1
                                     1
                       –3 – 2       (x , y ) = (–3, 2)
                                     2  2
                 m =  –9  or   9                                   Find the slope of the line.
                     –5     5

                                                                      2
                   Answer           The slope is   9               A.  1   (–4, 3)
                                                  5                    1
                                                                   B. –
                                                                       2
                Find the slope of the line that passes through the     5
                following pair of points. F(–5, 1), G(–3, –6)      C. –  6

                      y – y                                            6
                       2
                 m =   x – x 1     Definition of slope             D. –  5
                       2  1
                m =   –6 – 1       (x , y ) = (–5, 1)
                                    1
                                       1
                    –3 – (–5)      (x , y ) = (–3, –6)
                                    2  2                             Answer
                m =  –7
                     2
                   Answer          The slope is –  7
                                                  2

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