slope-Intercept Form (1).pptx
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This document describes linear equations and their graphical representations. It explains that equations of the form y=mx represent proportional relationships with slope m passing through the origin, while equations of the form y=mx+b with b not equal to 0 represent non-proportional relationships with slope m passing through the point (0,b). It also notes that vertical lines have undefined slope since the x-values do not change as y changes. The document provides examples of linear graphs and asks the reader to determine if they represent proportional or non-proportional relationships and write the corresponding equations.
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This presentation was provided by Racquel Jemison, Ph.D., Christina MacLaughlin, Ph.D., and Paulomi Majumder. Ph.D., all of the American Chemical Society, for the second session of NISO's 2024 Training Series "DEIA in the Scholarly Landscape." Session Two: 'Expanding Pathways to Publishing Careers,' was held June 13, 2024.What is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...
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slope-Intercept Form (1).pptx
- 2. Activity 4 Describing Linear Equations You know that the equation y = mx represents a proportional relationship. The equation represents every point (x, y) on the graph of a line with slope m that passes through the origin (0, 0). An equation of the form y = mx + b, where b is not equal to zero, represents a non-proportional relationship. This equation represents every point (x, y) on the graph of a line with slope m that passes through the point (0, b).
- 3. Activity 4 In a vertical line, there is no change in the x-values as the y- values change. Therefore, the slope is undefined. A vertical line has an undefined steepness. 1. Consider each graph shown. • Determine whether the graph represents a proportional or non-proportional relationship. • Write an equation in the form y = mx or y = mx + b to represent the relationship between the independent and dependent quantities.
- 6. e) f)
- 7. HOMEWORK m = -5 m = 1/3 m = - 1/5 undefined