Unit 4, Lesson 16# The Computation of the Slope of a Non-Vertical Line

EngageNY 45 min(s)

Students use similar triangles to explain why the slope is the same between any two distinct points on a non-vertical line in the coordinate plane. Students use the slope formula to compute the slope of a non-vertical line. The goal is for students to know that these are references to the same thing with respect to the graph of a line. At this point in students' learning, the phrases rate of change and slope are interchangeable, but it could be said that rate of change refers to constant rate problems where time is involved, i.e., rate of change over time.