Page 57 - Math Course 1 (Book 1)
P. 57

Graph: Points and Algebraic Relationships






                 MO. 1 - L10b
                        Graph an Algebraic                        Your Turn!

                             Relationship
                                                                  Graph an Algebraic Relationship


                                                                   The sum of two integers is 3. If x represents the
                        Let’s Begin                                f rst integer and y represents the second integer,
                                                                   make a table of possible values for x and y.

                                                                    A.    x        y      B.     x        y

                 The difference between two integers is 4. If x           -3       3            -3        6
                 represents the f rst integer and y represents the        0        3             0        3
                 second integer, make a table of possible values for x
                 and y. Then graph the ordered pairs and  describe the    2        3             2        1
                 graph.                                                   3        3             3        0


                 First, make a table. Choose values for x and y     C.    x        y      D.     x        y
                 that have a difference of 4.
                                                                          -3       0            -3        0
                     x - y = 4                                            0        -3            0        3
                          x                      y                 (x, y)       2  -5            2        5
                          2           -2          (2, -2)                 3        -6            3        6
                          1           -3          (1, -3)

                          0           -4          (0, -4)            Answer
                          -1          -5         (-1, -5)
                          -2          -6         (-2, -6)
                                                                   The sum of two integers is 3. If x represents the
                                                                   f rst integer and y represents the second integer,
                 Then graph the ordered pairs on a coordinate      graph possible ordered pairs.
                 plane.

                                                                     A.                y
                                         y                                           6
                                      2                                              5
                                      1                                              4
                                         0             x                             3
                         -4   -3   -2  -1         1    2   3    4                    2
                                      -1                                             1
                                                                                          1   2   3   4   5   6
                                      -2                                                                 x
                                                                      -6  -5  -4  -3  -2  -1
                                      -3                                                -1
                                                                                        -2
                                      -4
                                                                                        -3
                                      -5                                                -4
                                      -6                                                -5
                                                                                        -6


                               The points in the graph are on a line
                  Answer       that slants upward to the right.
                               The line crosses the y-axis at y = –4.




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