### Home > INT3 > Chapter 11 > Lesson 11.2.2 > Problem11-68

11-68.

For each of the following equations, list every point where its three-dimensional graph intersects one of the coordinate axes. That is, what are the $x$, $y$, and $z$‑intercepts? Express your answers in $\left(x, y, z\right)$ form.

1. $6y+15z=60$

To find the intercept of a given axis, set all other variables to zero.
For example, the $y$-intercept will be $\left(0, ?, 0\right)$.
To find the $y$-intercept, let $x = 0$ and $z = 0$

Repeat the process to find the $z$-intercept. $\left(0, 0, ?\right)$.

$\left(0, 10, 0\right)$ and $\left(0, 0, 4\right)$

1. $3x+4y+2z=24$

See part (a):

1. $(x+3)^2+z^2=25$

See part (a).
Note: You will have two $x$-intercepts and two $z$-intercepts. Why?

1. $z=6$

See part (a):

Use the eTool below to test your solutions to parts (a), (b) and (c) above.
Click on the link at right for the full eTool version: INT3 11-68 HW eTool