Graphing Linear Equations in Three Dimensions Exercises

Graph 5x + 4y – 10z = 20.

Hint

The intercepts are (4, 0, 0), (0, 5, 0), and (0, 0, -2).

Graph 6x – 4y + 12z = 36.

Hint

The intercepts are (6, 0, 0), (0, -9, 0), and (0, 0, 3).

Graph x + y + z = 10.

Hint

All of the intercepts are at 10.

Graph -3x – 3y – 7z = -21.

Hint

The intercepts are at (7, 0, 0), (0, 7, 0), and (0, 0, 3).

Graph 2x + 6y – 2z = 18.

Hint

The intercepts are (9, 0, 0), (0, 3, 0), and (0, 0, -9).