3-D Graph

For my 3-D project, I built model of a 3-D coordinate system. The coordinate system consisted of 8 parts:

• (x,y,z)
• (-x,y,z)
• (x,-y,z)
• (-x,-y,z)
• (-x,-y,-z)
  
• (x,-y,-z)
• (x,y,-z)
• (-x,y,-z)

Our group chose the equation 3x+4y+2z=12. Since I had Section 4: (-x,-y,-z), I had to convert the original equation by plugging-in the negatives. So my new equation would be: -3x-4y-2z=12. In order to graph this, I had to find the x, y, and z-intercepts. To find this, I plug in zero, and solve for one of the variables. Then do the same for the others. The intercepts were: (-4,0,0),(0,-3,0),(0,0,-6).
After I was done with my part. Our group put together each section according to the system and it turned out like this.