What if a coordinate plane becomes a slope-intercept plane? What does the graph of a linear function look like? Learners explore these questions by graphing the y-intercept of a linear equation as a function of its slope. The result is a single point as individuals discover the relationships between special types of linear equations.

Concepts

linear functions, linear equations, coordinate plane, linear modeling, slope, y-intercepts

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Additional Tags

math

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Instructional Ideas

• Create a graphic organizer to record the key features of linear functions with definitions and examples
• Provide graph paper with the axes labeled with y-intercept and slope to correspond to the activity

Classroom Considerations

• Builds upon a solid understanding of graphing linear functions on a coordinate plane

Pros

• References additional tasks with similar content applications
• Emphasizes mathematical vocabulary throughout the activity

Cons

• None

Common Core

HSF-IF.C.7.a