Linear Relations
A linear relation is a rule that gives a constant rate of change: for every step in x, y changes by the same amount. Tables, graphs, and equations are three ways to represent the same relationship. Moving between representations — and explaining what each reveals — is the core skill of introductory algebra.
What students explore
A linear relation is a rule that gives a constant rate of change: for every step in x, y changes by the same amount. Tables, graphs, and equations are three ways to represent the same relationship. Moving between representations — and explaining what each reveals — is the core skill of introductory algebra.
Key ideas
Create and analyze tables of values for a linear relation. Graph a linear relation on a coordinate plane. Describe the pattern using words, an equation, and a graph. Identify the slope (rate of change) and intercept of a linear relation.
Putting it together
Apply these ideas through hands-on activities, guided practice, and real-world problems.