Math Example--Linear Function Concepts--Linear Equations in Standard Form: Example 2

Topic

Linear Functions

Description

This example illustrates the conversion of the linear equation 3x + 6y = -18 from standard form to slope-intercept form. The solution involves isolating y and dividing by its coefficient, resulting in y = -1/2 x - 3. This process clearly reveals the slope and y-intercept of the line.

Linear functions are essential mathematical concepts that describe straight-line relationships between variables. The examples in this collection, demonstrating transformations from standard form to slope-intercept form, help students understand how different parts of the equation relate to the graph and the underlying relationship.

Exposure to multiple worked-out examples enables students to identify patterns across various representations of linear functions. This reinforces their algebraic skills and enhances their conceptual understanding of linear relationships.

Teacher Script: "As we transform this equation, pay attention to how y is isolated. What does this tell us about the line's slope and where it crosses the y-axis? How might changing the coefficients affect these characteristics? Can you think of a real-world situation that this equation might represent?"

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