### Home > CCA2 > Chapter Ch10 > Lesson 10.1.4 > Problem 10-68

10-68.

Graph each plane in three dimensions. Homework Help ✎

2

*x*− 3*y*+ 4*z*= 122

*x*− 3*y*= 12

Solve for each intercept. You can do this by substituting 0 for two of the variables and solving for the remaining variable.

2*x* − 3(0) + 4(0) = 12

2*x* = 12

*x* = 6

(6, 0, 0)

2(0) − 3*y* + 4(0) = 12

−3*y* = 12

*y* = −4

(0, -4, 0)

2(0) − 3(0) + 4*z* = 12

4*z* = 12

*z* = 3

(0, 0, 3)

Now that you know the *x*-, *y*-, and *z*-intercepts, plot the points, connect them, and shade them to look like a plane.

Solve for the intercepts like you did in part (a).

Note that there is no *z*-intercept.