Chapter Closure
Sign In
Draw a three-dimensional coordinate system on isometric dot paper. Take three steps, one for each coordinate.
Draw a three-dimensional coordinate system on isometric dot paper. Do it in steps. Take one step for each relevant coordinate.
The solution set to the equation is a plane. Use the points where it intersects the axes to help you draw it.
Diagram:
Diagram:
Diagram:
We want to mark the point (2,3,1) in a three-dimensional coordinate system. Let's begin by drawing three coordinate axes on isometric dot paper.
To find the point, we will go 2 steps in the x-axis positive direction, 3 steps in the y-axis positive direction, and 1 step in the z-axis positive direction.
Notice that the x-coordinate is negative. Let's extend all of the axes to include negative coordinates.
To find the point, we will go 2 steps in the negative direction of the x-axis and 3 steps in the positive direction of the y-axis.
To graph this equation, we need to determine where it intersects the x-, y-, and z-axes. We can do that by setting two of the variables equal to 0 and solving for the remaining variable.
