Math Example--Linear Function Concepts--Linear Intercepts: Example 1

Topic

Linear Functions

Description

Find the x- and y-intercepts for the linear equation 28x + 7y = 35 given in standard form. Convert it to slope-intercept form.

The equation is rewritten as y = -4x + 5 by isolating y. The y-intercept is found as 5 (where x = 0), and the x-intercept is calculated as 1.25 (where y = 0). These intercepts are plotted on a graph.

Linear functions are a fundamental concept in algebra, where we explore the relationships between variables. The examples in this collection highlight how to find intercepts and analyze the relationships they represent in a linear context.

Seeing multiple worked-out examples is critical for students. It helps them recognize patterns, solidify understanding, and apply these concepts to new problems.

Teacher Script: Let us look at this example together. Notice how we solve for the x-intercept by setting y = 0 and for the y-intercept by setting x = 0. This method ensures we understand the graph’s key points.

For a complete collection of math examples related to Linear Functions click on this link: Math Examples: Linear Intercepts Collection.