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Lesson 3­3.notebook                                                     November 05, 2012


            Assignment:

            1­­>L3.3, pg. 176, #24­39 (all) ­ Due Wednesday (11/7)
            2­­>L3.4, pg. 183­184, #10­27 (all) ­ Due Thursday (11/8)
            3­­>Test signed??

            4­­>Chapter 3 Test ­ Thursday (11/15) 




                                                                                            1
Lesson 3­3.notebook                                                          November 05, 2012


           Lesson 3.3 WarmUp:
           Solve each equation.  Show all steps!
           1)  5y  ­  4  =  9y  +  8

           2)  4(3w  ­  2)  =  8(2w  +  3)

           3)  4  =  ­3u  ­  (­7)
                          ­8

           Solve each equation.  Then graph the solution on a number line.
           4)  |x  ­  6|  =  11

           5)  |­4w  +  2|  =  14  




                                                                                                 2
Lesson 3­3.notebook                                                                         November 05, 2012

            Lesson 3.3:

            *rate of change ­ a ratio that describes, on average, how much one 
            quantity changes with respect to a change in another quantity

            *slope ­ the ratio of the change in the y­coordinate (rise) to the change in 
            the x­coordinate (run) as you move from one point to another 

                rise
                run                  m =    y 2  ­  y 1
                                            x2  ­  x1
                You can find the slope by either 
                graphing it or using this formula!




                                                                                                                3
Lesson 3­3.notebook                                                             November 05, 2012


              positive slope                negative slope
                                Y                            Y




                                    X                               X




                                                                        Y
                                    Y
                slope of zero                     undefined slope


                                                                            X
                                        X




                                                                                                    4
Lesson 3­3.notebook                                                              November 05, 2012

           Lesson 3.3 examples:
           Find the slope of the line that passes through each pair of points.
           A) (5, 3), (6, 9)



           B) (6, 3), (6, 7)




           C) (­3, 1), (5, 1)




                                                                                                     5
Lesson 3­3.notebook                                                                November 05, 2012


           Find the value of r so the line that passes through each pair of points has 
           the given slope.
           D) (1, 4), (­5, r), slope = 1/3




           E) (r, ­6), (5, ­8), slope = ­8




                                                                                                       6

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Lesson 3-3 Math Notes Slope Rate of Change Equations

  • 1. Lesson 3­3.notebook November 05, 2012 Assignment: 1­­>L3.3, pg. 176, #24­39 (all) ­ Due Wednesday (11/7) 2­­>L3.4, pg. 183­184, #10­27 (all) ­ Due Thursday (11/8) 3­­>Test signed?? 4­­>Chapter 3 Test ­ Thursday (11/15)  1
  • 2. Lesson 3­3.notebook November 05, 2012 Lesson 3.3 WarmUp: Solve each equation.  Show all steps! 1)  5y  ­  4  =  9y  +  8 2)  4(3w  ­  2)  =  8(2w  +  3) 3)  4  =  ­3u  ­  (­7)        ­8 Solve each equation.  Then graph the solution on a number line. 4)  |x  ­  6|  =  11 5)  |­4w  +  2|  =  14   2
  • 3. Lesson 3­3.notebook November 05, 2012 Lesson 3.3: *rate of change ­ a ratio that describes, on average, how much one  quantity changes with respect to a change in another quantity *slope ­ the ratio of the change in the y­coordinate (rise) to the change in  the x­coordinate (run) as you move from one point to another  rise run m =    y 2  ­  y 1   x2  ­  x1 You can find the slope by either  graphing it or using this formula! 3
  • 4. Lesson 3­3.notebook November 05, 2012   positive slope negative slope Y Y X X Y Y slope of zero undefined slope X X 4
  • 5. Lesson 3­3.notebook November 05, 2012 Lesson 3.3 examples: Find the slope of the line that passes through each pair of points. A) (5, 3), (6, 9) B) (6, 3), (6, 7) C) (­3, 1), (5, 1) 5
  • 6. Lesson 3­3.notebook November 05, 2012 Find the value of r so the line that passes through each pair of points has  the given slope. D) (1, 4), (­5, r), slope = 1/3 E) (r, ­6), (5, ­8), slope = ­8 6