Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 3

Topic

Linear Functions

Description

This example demonstrates the creation of a table of x-y coordinates and the graphing of the linear function y = 5x. The image displays both a graph and a table representing this function. The table includes coordinate pairs (0, 0), (1, 5), (2, 10), (3, 15), and (4, 20), illustrating how the y-value increases by 5 for each unit increase in x.

Linear functions are a key concept in algebra, representing relationships where the rate of change between variables is constant. This collection of examples helps teach this topic by providing visual representations of various linear functions, allowing students to see how changes in the equation affect the graph and table of values.

Exposure to multiple worked-out examples is essential for students to fully comprehend the concept of linear functions. By examining different slopes, y-intercepts, and special cases like this one where the y-intercept is 0, students can develop a more comprehensive understanding of how these elements influence the function's behavior.

Teacher's Script: Let's examine the function y = 5x. Notice that there's no constant term in this equation. What does this mean for our y-intercept? The slope is 5, which we can see reflected in the steepness of the line and the rate of change in our table. How does this compare to our previous examples with smaller slopes?

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.