  ### 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 $1$st point $\left(\ ,\ ,\ \right)$ $\left(\ ,\ ,\ \right)$ $\left(\ ,\ ,\ \right)$ $\left(\ ,\ ,\ \right)$ $2$nd point $\left(\ ,\ ,\ \right)$ $\left(\ ,\ ,\ \right)$ $\left(\ ,\ ,\ \right)$ $\left(\ ,\ ,\ \right)$ $3$rd point $\left(\ ,\ ,\ \right)$ $\left(\ ,\ ,\ \right)$ $\left(\ ,\ ,\ \right)$ $\left(\ ,\ ,\ \right)$ $4$th 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).

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