Final answer:
To find the equation of a linear function expressed as z = c + mx + ny, understand the roles of c, m, and n as the constant, x-coefficient, and y-coefficient respectively, similar to the y = mx + b form for two-dimensional lines.
Step-by-step explanation:
The student is asking to find the equation of a linear function in the form z = c + mx + ny, where c represents the constant term, and m and n are coefficients for the variables x and y respectively. Often, linear functions are expressed in the simpler form of y = mx + b, where b is the y-intercept and m is the slope. The slope is defined as the rise over the run, or the change in y over the change in x, as displayed on a graph. The y-intercept is the point where the line crosses the y-axis. To express the equation graphically, you can create a table plugging in different x-values to find the corresponding y-values and then plot these points on a graph, drawing a line that connects them.