Graph 6x + 3y – 4z = 12.

The x-intercept is where the plane passes through the x-axis, and so y = 0 and z = 0.

6x + 3(0) – 4(0) = 12

6x = 12

x = 2

Then we find the y-intercept:

6(0) + 3y – 4(0) = 12

3y = 12

y = 4

And finally the z-intercept.

6(0) + 3(0) – 4z = 12

-4z = 12

z = -3

The intercepts are (2, 0, 0), (0, 4, 0), and (0, 0, -3). Connect them up inside the graphing cube.

Graph -2x – 2y + 14z = 14.

The x-intercept:

-2x – 2(0) + 14(0) = 14

-2x = 14

x = -7

The y-intercept:

-2(0) – 2y + 14(0) = 14

-2y = 14

y = -7

The z-intercept:

-2(0) – 2(0) + 14z = 14

14z = 14

z = 1

Now we have three intercepts: (-7, 0, 0), (0, -7, 0), and (0, 0, 1). Graph them, and then get out of Dodge.