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Geom4­6.notebook                                                                              November 15, 2011




         Please be seated and ready to begin 
         when the bell rings. Thank you!

                   Agenda for the day:
                   1. vocabulary quiz
                   2. review activity
                   3. finish 4.6
                   4. questions on homework




          Visual interpretation of slope:

         Positive Slope:                                 6
                                                              y

                                                         5
                                                         4
                                                         3
                                                         2
                                                         1
                                                                                          x

                           ­6   ­5   ­4   ­3   ­2   ­1    0       1   2   3   4   5   6
                                                         ­1
                                                         ­2
                                                         ­3
                                                         ­4
                                                         ­5
                                                         ­6




                                                                                                                  1
Geom4­6.notebook                                                                              November 15, 2011


          Visual interpretation of slope:

         Negative Slope:                                 6
                                                              y

                                                         5
                                                         4
                                                         3
                                                         2
                                                         1
                                                                                          x

                           ­6   ­5   ­4   ­3   ­2   ­1    0       1   2   3   4   5   6
                                                         ­1
                                                         ­2
                                                         ­3
                                                         ­4
                                                         ­5
                                                         ­6




          Visual interpretation of slope:

         Zero Slope:                                     6
                                                              y

                                                         5
                                                         4
                                                         3
                                                         2
                                                         1
                                                                                          x

                           ­6   ­5   ­4   ­3   ­2   ­1    0       1   2   3   4   5   6
                                                         ­1
                                                         ­2
                                                         ­3
                                                         ­4
                                                         ­5
                                                         ­6




                                                                                                                  2
Geom4­6.notebook                                                                             November 15, 2011


          Visual interpretation of slope:

         No Slope:                                      6
                                                             y

                                                        5
                                                        4
                                                        3
                                                        2
                                                        1
                                                                                         x

                          ­6   ­5   ­4   ­3   ­2   ­1    0       1   2   3   4   5   6
                                                        ­1
                                                        ­2
                                                        ­3
                                                        ­4
                                                        ­5
                                                        ­6




                                                                                                                 3
Geom4­6.notebook                                                      November 15, 2011




        A few theorems about slope:

        • If two nonvertical lines are parallel, then their slopes are equal.

        • If the slopes of two nonvertical lines are equal, then the lines are 
              parallel.

        • If two lines are perpendicular and neither is vertical, each lines 
              slope is the opposite reciprocal of the other's.

        • If a line's slope is the opposite reciprocal of another line's slope, 
             the two lines are perpendicular.




        homework questions??




                                                                                          4

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Geom4-6

  • 1. Geom4­6.notebook November 15, 2011 Please be seated and ready to begin  when the bell rings. Thank you! Agenda for the day: 1. vocabulary quiz 2. review activity 3. finish 4.6 4. questions on homework Visual interpretation of slope: Positive Slope: 6 y 5 4 3 2 1 x ­6 ­5 ­4 ­3 ­2 ­1 0 1 2 3 4 5 6 ­1 ­2 ­3 ­4 ­5 ­6 1
  • 2. Geom4­6.notebook November 15, 2011 Visual interpretation of slope: Negative Slope: 6 y 5 4 3 2 1 x ­6 ­5 ­4 ­3 ­2 ­1 0 1 2 3 4 5 6 ­1 ­2 ­3 ­4 ­5 ­6 Visual interpretation of slope: Zero Slope: 6 y 5 4 3 2 1 x ­6 ­5 ­4 ­3 ­2 ­1 0 1 2 3 4 5 6 ­1 ­2 ­3 ­4 ­5 ­6 2
  • 3. Geom4­6.notebook November 15, 2011 Visual interpretation of slope: No Slope: 6 y 5 4 3 2 1 x ­6 ­5 ­4 ­3 ­2 ­1 0 1 2 3 4 5 6 ­1 ­2 ­3 ­4 ­5 ­6 3
  • 4. Geom4­6.notebook November 15, 2011 A few theorems about slope: • If two nonvertical lines are parallel, then their slopes are equal. • If the slopes of two nonvertical lines are equal, then the lines are  parallel. • If two lines are perpendicular and neither is vertical, each lines  slope is the opposite reciprocal of the other's. • If a line's slope is the opposite reciprocal of another line's slope,  the two lines are perpendicular. homework questions?? 4