Wetzel

Math 101

3.1 – The Rectangular Coordinate System

 

 

The Rectangular Coordinate Plane –

 

·        x-axis and y-axis

·        origin

·        quadrants

·        ordered pairs

 

Ex.:

 

1.)  Plot the points (5, 3),  (-2, 4), (3, -1), and (0, 4).

                                                                         

 

2.)  Find the coordinates for points A, B, and C.    (GRAPH ON BOARD)

 

           

                                                                                            

Linear Equations with Two Variables –

 

·        Standard Form

 

                  ax + by = c

 

·        Infinitely Many Solutions

 

 

Ex. :

 

Determine if the given point is a solution to the equation.

 

3.)  (3, -3),  4x – 3y = 21                                                                 4.)  (5, -2),  -x + 7y = -9

 

 

 

 

 

                           

Graph the following.

 

5.)  2x + 3y = 6                                                                                6.)  y = -2x + 1