Graph of Linear Equations in 3 Variables Model - CH4 Project
By Wendy Huynh
In chapter 4, we learned to work with equations that contain three variables or more variables, and this was related to the graphs of linear functions in Chapter 3, except those functions had only two variables. Later, we were able to graph the linear functions of these equations with three variables. Two or more linear functions make a system of equations. Since the equation has three variables, the solutions would be written as ordered triples (x, y, z) , instead of ordered pairs (x, y). Equations with three variables are graphed on a three-dimensional Cartesian coordinate system. In addition to the normal x and y axes on the coordinate plane, there is a z-axis perpendicular to the xy-plane, passing through the origin. If z=0, z=1, and z=2, and the line graphs of three equations are stacked upon one another, the whole graph comes to form a plane in space.
To better understand how to graph linear functions with 3 variables, we were assigned in partners to solve an equation with 3 variables. Then, we had to find the x, y, and z intercepts and sketch the graph. After that, we needed to construct a three-dimensional Cartesian coordinate system and "graph" our equation using yarn! =D