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Exploring Linear Equations using Polygons on a Graphing Calculator This lesson allows students to explore linear equations and the effects of changing the slope and y -intercept on a line. It gives students exposure to y = mx + b, and can be used as an introduction to the topic. Using graphing calculators, students are challenged to overlap lines onto the sides of polygons. To achieve this goal, students change slopes and y -intercepts of lines, noting observations about behavior as they work. As students change the y -intercept of a line, they see it raise or lower the line. As students change the slope, they see it affect the steepness of the line.
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