### Home > CCA2 > Chapter 6 > Lesson 6.1.2 > Problem6-21

6-21.

For each of the following equations, find every point where its three-dimensional graph intersects one of the coordinate axes. That is, find the x-, y- and z-intercepts. Express your answer in $(x,y,z)$ 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 $(0,?,0)$.
To find the y-intercept, let $x=0$ and $z=0$.

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

$(0,10,0)$ and $(0,0,4)$

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

See part (a).

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

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

4. $z=6$

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: CCA2 6-21 HW eTool