Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 2

Topic

Linear Functions

Description

This example illustrates the process of creating a table of x-y coordinates and graphing the linear function y = 3x - 2. The image presents both a graph and a table for this function. The table includes coordinate pairs (0, -2), (1, 1), (2, 4), (3, 7), and (4, 10), showing how the y-value increases by 3 for each unit increase in x.

Linear functions are essential in algebra as they represent relationships with a constant rate of change between variables. This collection of examples aids in teaching this topic by providing visual representations of various linear functions, enabling students to observe how changes in the equation affect both the graph and the table of values.

Exposing students to multiple worked-out examples is vital for a comprehensive understanding of linear functions. By examining different slopes, y-intercepts, and even negative coefficients, students can develop a deeper insight into how these elements influence the function's behavior.

Teacher's Script: Now, let's look at the function y = 3x - 2. Can you see how the slope of 3 is reflected in the steepness of the line and the rate of change in the table? The y-intercept is -2, which is where our line crosses the y-axis. How does this compare to our previous example?

For a complete collection of math examples related to Linear Functions click on this link: Math Examples: Linear Functions in Tabular and Graph Form Collection.