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Ch6.1_6.2_SlopeParallelPerpendicularLines.notebook   December 05, 2011




                What is the slope?
Ch6.1_6.2_SlopeParallelPerpendicularLines.notebook   December 05, 2011




             Chapter 6.1 and 6.2
             Slope­Intercept Form
             Parallel & Perpendicular Lines
Ch6.1_6.2_SlopeParallelPerpendicularLines.notebook                           December 05, 2011


                                         SLOPE
                               The "steepness" of a graph
                   Positive slope:

                   Negative slope:

                       2 points are needed to find the slope of a line

                                     (x1, y1)   (x2, y2)
                                                           + up
                             y  ­ y                 rise   ­ down
                    slope =  x2 ­ x1
                                 2       1          run + right
                                                         ­ left


                     Find the slope




                     Find the slope
                                         y2 ­ y1
                       (1, 3)   (4, 0)   x2 ­ x1




                                                   Find the slope
                                                                    y  ­ y
                                               (­2, 1)   (3, 1) x2  ­ x1
                                                                 2     1




                         Find the slope
                    y2 ­ y1
                    x2 ­ x1
Ch6.1_6.2_SlopeParallelPerpendicularLines.notebook           December 05, 2011




                 Slope­Intercept Form
                     y = mx + b
                          m = slope                  b = y­intercept




        5) y = x                                            6) y = 2
Ch6.1_6.2_SlopeParallelPerpendicularLines.notebook                           December 05, 2011


                     Parallel and Perpendicular Lines
                            Parallel: slopes are equal

                                m = 2                      never intersect
                                         m = 2



                      Perpendicular: slopes are negative 
                                     reciprocals
                              m = ­3                     intersect at 900


                                        m = 1
                                            3




                    Example:
                                        y = ­4x + 3
                  Slope of parallel line:

                 Slope of perpendicular line:



                    Example:       Line through the points
                                   (2,1) and (6, 7)
                  Slope of parallel line:

                 Slope of perpendicular line:


                              Are the following lines 
                 Example: parallel, perpendicular, or neither?

                    6x + 2y = ­18

                    3y ­ 12 = 9x
Ch6.1_6.2_SlopeParallelPerpendicularLines.notebook   December 05, 2011




                  Homework:
                  Worksheet 6.1 and 6.2

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Ch 6.1 & 6.2 Slope of Parallel and Perpendicular Lines

  • 1. Ch6.1_6.2_SlopeParallelPerpendicularLines.notebook December 05, 2011 What is the slope?
  • 2. Ch6.1_6.2_SlopeParallelPerpendicularLines.notebook December 05, 2011 Chapter 6.1 and 6.2 Slope­Intercept Form Parallel & Perpendicular Lines
  • 3. Ch6.1_6.2_SlopeParallelPerpendicularLines.notebook December 05, 2011 SLOPE The "steepness" of a graph Positive slope: Negative slope: 2 points are needed to find the slope of a line (x1, y1)   (x2, y2) + up y  ­ y rise ­ down slope =  x2 ­ x1 2 1 run + right ­ left Find the slope Find the slope y2 ­ y1 (1, 3)   (4, 0) x2 ­ x1 Find the slope y  ­ y (­2, 1)   (3, 1) x2  ­ x1 2 1 Find the slope y2 ­ y1 x2 ­ x1
  • 4. Ch6.1_6.2_SlopeParallelPerpendicularLines.notebook December 05, 2011 Slope­Intercept Form y = mx + b m = slope b = y­intercept 5) y = x 6) y = 2
  • 5. Ch6.1_6.2_SlopeParallelPerpendicularLines.notebook December 05, 2011 Parallel and Perpendicular Lines Parallel: slopes are equal m = 2 never intersect m = 2 Perpendicular: slopes are negative    reciprocals m = ­3 intersect at 900 m = 1 3 Example: y = ­4x + 3 Slope of parallel line: Slope of perpendicular line: Example: Line through the points (2,1) and (6, 7) Slope of parallel line: Slope of perpendicular line: Are the following lines  Example: parallel, perpendicular, or neither? 6x + 2y = ­18 3y ­ 12 = 9x
  • 6. Ch6.1_6.2_SlopeParallelPerpendicularLines.notebook December 05, 2011 Homework: Worksheet 6.1 and 6.2