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2.2 Linear Equations.notebook                                         August 23, 2012

      Graph the following points on a coordinate plane.

            A(­3, 2)

            B(2, 1)

            C(­5, ­6)

            D(4, ­7)

            E(1, 5)

            F(0, ­3)

            G(­2, 5)
       Objective: Graphing Linear Equations

       Agenda
       1. WU            2. Notes      3. HW




                Linear Equations               Non Linear Equations


                9x + 2y = 15                   x2 ­ 3 = y
                x ­ y = 1                     2     7
                                                 ­     = 3
                                              x     y
                x     y = 4
                  +
                5     3
                                              y3 ­ x = 4
                y = x ­ 3
                                              x2 ­ x ­ 3 = y
                x = 2 + y



                                                                                        1
2.2 Linear Equations.notebook                                           August 23, 2012

       Solutions:  Pair of numbers (x, y) that together make the sentence true.

       3x + 2y = 8; x = ­1 




                       y
        ­, +                      +, +
                                               Horizontal Lines
                II            I                y = number
                                     x

                III        IV                  Vertical Lines
         ­, ­                     +, ­         x = number


                                               X and Y both in equation
                                               neither horizontal or vertical




                                                                                          2
2.2 Linear Equations.notebook      August 23, 2012

          Graph using a table.  

          2x + 3y = 12      




         h(x) = 4x ­ 1




                                                     3
2.2 Linear Equations.notebook                  August 23, 2012

       Standard Form
       Ax + By = C

       X­int ­
       Y­int ­




          Graph using Intercepts

          3x + 2y = 12             x + y = 7




                                                                 4

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2.2 graphing linear equations

  • 1. 2.2 Linear Equations.notebook August 23, 2012 Graph the following points on a coordinate plane. A(­3, 2) B(2, 1) C(­5, ­6) D(4, ­7) E(1, 5) F(0, ­3) G(­2, 5) Objective: Graphing Linear Equations Agenda 1. WU 2. Notes 3. HW Linear Equations Non Linear Equations 9x + 2y = 15 x2 ­ 3 = y x ­ y = 1 2     7 ­     = 3 x     y x     y = 4 + 5     3 y3 ­ x = 4 y = x ­ 3 x2 ­ x ­ 3 = y x = 2 + y 1
  • 2. 2.2 Linear Equations.notebook August 23, 2012 Solutions:  Pair of numbers (x, y) that together make the sentence true. 3x + 2y = 8; x = ­1  y ­, + +, + Horizontal Lines II I y = number x III IV Vertical Lines ­, ­ +, ­ x = number X and Y both in equation neither horizontal or vertical 2
  • 3. 2.2 Linear Equations.notebook August 23, 2012 Graph using a table.   2x + 3y = 12       h(x) = 4x ­ 1 3
  • 4. 2.2 Linear Equations.notebook August 23, 2012 Standard Form Ax + By = C X­int ­ Y­int ­ Graph using Intercepts 3x + 2y = 12 x + y = 7 4