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Graphing Lines ­ 2
           "Using the Intercepts Method"
There are 2 Intercepts for any linear equation:

   • x-intercept: where line crosses the x­axis

   • y-intercept: where line crosses the y­axis 


*to find x-intercept from any eq'n, let y = 0, and solve for x.


*to find y-intercept from any eq'n, let x = 0, and solve for y.




                                                                  2
• Graph 3x ­ 2y = 6




                      3
• Graph    y = 2x ­ 2




                        4
• Graph    3x + 4y ­ 12 = 0




                              5
Graphing Lines ­ 3
              "Using Slope‐Intercept Form"

 y = mx + b         the slope­intercept form of a linear eq'n.



  * To graph using this method,
         we MUST convert equations to slope-intercept form

• Graph  x ­ 2y = 2  using slope­int. method




                                                                 6
• Graph  3x-y+4=0  using slope­int. method


                                      4

                                      3

                                      2

                                      1


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

                                 ­2

                                 ­3

                                 ­4




                                                                  7
• Graph  y = -1/4 x + 5  using slope­intercept method


                                        4

                                        3

                                        2

                                        1


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

                                   ­2

                                   ­3

                                   ­4




                                                                    8
• Graph and find m and  b  of 
      y = 0

                                    4

                                    3

                                    2

                                    1


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

                               ­2

                               ­3

                               ­4




                                                                9
Exercise # 11 & 12
        # 1-12


                     10

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Nov19 Graphing Linear Equations