Math Example--Linear Function Concepts--Linear Equations in Standard Form: Example 22

Topic

Linear Functions

Description

This example illustrates the conversion of the linear equation -13x + 39y = 0 from standard form to slope-intercept form. The solution involves isolating y and dividing by its coefficient, resulting in y = 1/3 x. This process clearly reveals the slope and y-intercept of the line.

Linear functions are crucial mathematical concepts that describe constant-rate relationships between variables. The examples in this collection, showing step-by-step transformations from standard form to slope-intercept form, help students understand how each part of the equation relates 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 analyze 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 visualize how this line might look on a coordinate plane based on its equation? How might this type of function be used in real-world applications?"

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