### Home > INT3 > Chapter 11 > Lesson 11.2.1 > Problem11-56

11-56.

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 $\left(\ ,\ ,\ \right)$ $\left(\ ,\ ,\ \right)$ $\left(\ ,\ ,\ \right)$ $\left(\ ,\ ,\ \right)$ 2nd point $\left(\ ,\ ,\ \right)$ $\left(\ ,\ ,\ \right)$ $\left(\ ,\ ,\ \right)$ $\left(\ ,\ ,\ \right)$ 3rd point $\left(\ ,\ ,\ \right)$ $\left(\ ,\ ,\ \right)$ $\left(\ ,\ ,\ \right)$ $\left(\ ,\ ,\ \right)$ 4th point $\left(\ ,\ ,\ \right)$ $\left(\ ,\ ,\ \right)$ $\left(\ ,\ ,\ \right)$ $\left(\ ,\ ,\ \right)$
1. What do you notice about the coordinates of the points on the $x$-axis?

Remember that on a 2D plane, the $y$ value is $0$ on the $x$-axis.

The $y$ and $z$ values are always $0$.

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