Solving Linear Systems by Graphing

 

 


Solve the system graphically.

1.

 

X + Y = 2

X – Y = 4

 

                                                            __________

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 


2.        

 

X + Y = 6

-X + Y = -2

 

                                                __________

 

 

 

 

 

 

 

 

 

 

 

 


3.        

 

5X – 2Y =10

X –Y = -1                                            ______________

 

 

 


4.

 

4X -2Y =8

2X + Y = -4

 

                                                            ____________

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 


5.        

 

X – Y = 3

2X – 2Y =-6

 

                                                _____________

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 


6.        

 

X +Y = 6

      Y=4                                               ______________

 

 

 

 

 

 

 

 

 

 

 

 

Slope Worksheet                                                                         

 

Find the slope of the lines that contain the following pairs of points.

 

  1. (2, 3) and (-4, -5)                                                                                           _________________

 

 

 

  1. (0, 0) and (2, 3)                                                                                              _________________

 

 

 

  1. (3, 0) and (7, 4)                                                                                              _________________

 

 

 

  1. (7, 4) and (3, 0)                                                                                              _________________

 

 

 

  1. (2, 3) and (2, -5)                                                                                            _________________

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Sketch a graph of the following lines.

1) y = 3x – 6

 

 

 

 

 

 

 

 

 

 

 

 

 


2) y = -2x + 4

 


 

 


3)

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 


4)        

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 


5)