Math Example--Linear Function Concepts--Linear Equations in Standard Form: Example 9

Topic

Linear Functions

Description

This example demonstrates the process of converting the linear equation 10x - 28y = 56 from standard form to slope-intercept form. The solution involves isolating y and dividing by its coefficient, resulting in y = (5/14)x - 2. This transformation clearly reveals the slope and y-intercept of the line.

Linear functions are fundamental mathematical concepts that describe relationships between two variables. The examples in this collection, such as showing step-by-step transformations from standard form to slope-intercept form, help in understanding how each part of the equation affects the graph and the relationship itself.

Seeing multiple worked-out examples allows students to recognize patterns between different representations of linear functions, reinforcing their algebraic manipulation skills and deepening their understanding of the concept.

Teacher Script: "Let's examine how this equation changes form. Notice how we isolate y to reveal the slope and y-intercept? This process is crucial for understanding linear equations and functions. How do you think manipulating the variables influences the graph? Can you think of real-world scenarios where such functions might be applicable?"

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