CPM Homework Help : INT3 Problem 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.

$6y+15z=60$
Hint (a):
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 $z = 0$
More Help (a):
Repeat the process to find the $z$ -intercept. $\left(0, 0, ?\right)$ .
Answer (a):
$\left(0, 10, 0\right)$ and $\left(0, 0, 4\right)$

$3x+4y+2z=24$
Hint (b):
See part (a):

$(x+3)^2+z^2=25$
Hint (c):
See part (a).
Note: You will have two $x$ -intercepts and two $z$ -intercepts. Why?

$z=6$
Hint (d):
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