Constructing Linear Functions from Tables

The video tutorial explains how to construct a linear function using a table. It begins by defining linear functions and their various representations, such as equations, graphs, and tables. The tutorial then delves into the components of linear functions, including independent and dependent variables, slope, and y-intercept. It provides a step-by-step guide on deriving linear equations from tables, focusing on finding the rate of change and y-intercept. The video concludes with methods to verify the accuracy of the derived linear function using table entries.

What is a linear function and how can it be represented?

Explain the components of a linear function.

What is the significance of the y-intercept in the equation of a linear function?

How do you determine the slope (m) of a linear function from a table?

Describe the process of finding the y-intercept (b) in a linear function.

What is the final equation of the linear function derived from the given table?

How can you verify that a linear function correctly represents a table of values?