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Make a table like the one below. Choose points in each of the locations listed at the top of the table and write in the coordinates of the points you have chosen.  

Points on the x-axis

Points on the y-axis

Points on the z-axis

Points not on the x-, y-, or z-axes

1st point

2nd point

3rd point

4th point

  1. What do you notice about the coordinates of the points on the -axis?

    Remember that on a 2D plane, the value is on the -axis.

    The and values are always .

  2. Make a conjecture about the coordinates of points that lie on any of the coordinate axes.

    See part (a).

    Use the eTool below to explore.
    Click the link at right for the full version of the eTool: INT3 11-56 HW eTool