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3.1 Graphing.notebook                                             September 10, 2012


       Objective: use graphing to solve systems of equations

       Agenda
       1. WU
       2. Notes
       3. Homework                         Warm Up
       4. Test back 
                                           Solve for y.

                                           5x + 3y = ­15




      Systems of Linear Equations in Two Variables ­ Graphing and Substitution


       GRAPHING
       1. Write the equation in slope intercept form  
       2. Graph y­int (b)
       3. From y­int use slope (m) to find another point
       4. Draw a line (with straight edge)
       5. Repeat steps 1 ­ 4 for the second equation
       6. Find point of intersection 
       7. Write the solution as an ordered pair (x, y) 




            It is extremely important to draw straight 
            lines or your lines will not intersect.  


                                                                                       1
3.1 Graphing.notebook                     September 10, 2012

       3 Cases




          m =               m =    m = 
          b =               b =    b = 




          1. 3x ­ 4y = 12
               x + 4y = 4




                                                               2
3.1 Graphing.notebook        September 10, 2012

          2.   x ­ 2y = 1
              3x ­ 6y = 3




          3.   3x ­ y = ­3
               ­3x + y = 5




                                                  3

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3.1 graphing systems

  • 1. 3.1 Graphing.notebook September 10, 2012 Objective: use graphing to solve systems of equations Agenda 1. WU 2. Notes 3. Homework Warm Up 4. Test back  Solve for y. 5x + 3y = ­15 Systems of Linear Equations in Two Variables ­ Graphing and Substitution GRAPHING 1. Write the equation in slope intercept form   2. Graph y­int (b) 3. From y­int use slope (m) to find another point 4. Draw a line (with straight edge) 5. Repeat steps 1 ­ 4 for the second equation 6. Find point of intersection  7. Write the solution as an ordered pair (x, y)  It is extremely important to draw straight  lines or your lines will not intersect.   1
  • 2. 3.1 Graphing.notebook September 10, 2012 3 Cases m =  m =  m =  b =  b =  b =  1. 3x ­ 4y = 12      x + 4y = 4 2
  • 3. 3.1 Graphing.notebook September 10, 2012 2.   x ­ 2y = 1     3x ­ 6y = 3 3.   3x ­ y = ­3      ­3x + y = 5 3