Linear Functions

In this video lesson, students see that a proportional relationship between two quantities can be viewed as a function. Students investigate and make connections between linear functions as represented by graphs, descriptions, and by the equation y=mx+b. They interpret the slope of the line as the rate of change m of the dependent variable with respect to the independent variable and the vertical intercept of the line as the initial value b of the function. Students also compare properties of linear functions represented in different ways to determine which function has the greater rate of change.

Grade 8, Episode 10: Unit 5, Lesson 8 | Illustrative Math