Math Example--Linear Function Concepts--Linear Equations in Standard Form: Example 5

Topic

Linear Functions

Description

This example illustrates the process of converting the linear equation -9x - 15y = -45 from standard form to slope-intercept form. The solution involves rearranging the equation to isolate y, resulting in y = 3/5 x + 3. This transformation clearly reveals the slope and y-intercept of the line.

Linear functions are essential mathematical concepts that describe relationships where one variable changes at a constant rate relative to another. The examples in this collection, demonstrating conversions from standard form to slope-intercept form, help students grasp how different components of the equation relate to the graph and the underlying relationship.

Presenting multiple worked-out examples allows students to recognize patterns across various representations of linear functions. This approach strengthens their algebraic manipulation skills and deepens their understanding of linear relationships.

Teacher Script: "Let's examine how this equation changes as we isolate y. What can you tell me about the slope and y-intercept of this line? How do these values compare to our previous examples? Can you predict how this line might look on a coordinate plane based on its equation?"

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