Calculating the Slope of a Line of Best Fit

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<h3>Calculating the Slope of a Line of Best Fit</h3>

Points on a scatter graph link different quantities to determine a relationship between them. Sometimes, the points will lack a pattern, indicating no correlation. But when the points do show a correlation, a line of best fit will show the extent of the connection. The sharper the slope of the line through the points, the greater the correlation between the points. The line’s slope equals the difference between points’ y-coordinates divided by the difference between their x-coordinates.

Step 1

Select any two points on the line of best fit. These points may or may not be actual scatter points on the graph.



Step 2

Subtract the first point’s y-coordinate from the second point’s y-coordinate. If, for instance, the two coordinates are (1,4) and (3, 20): 4 – 20 = -16.

Step 3

Subtract the first point’s x-coordinate from the second point’s x-coordinate. Using the same two points as an example: 1 – 3 = -2.

Step 4

Divide the difference in y-coordinates by the difference in x-coordinates: -16 / -2 = 8. The line has a slope of 8.

Dave Pennells

By Dave Pennells

Dave Pennells, MS, has contributed his expertise as a career consultant and training specialist across various fields for over 15 years. At City University of Seattle, he offers personal career counseling and conducts workshops focused on practical job search techniques, resume creation, and interview skills. With a Master of Science in Counseling, Pennells specializes in career consulting, conducting career assessments, guiding career transitions, and providing outplacement services. Her professional experience spans multiple sectors, including banking, retail, airlines, non-profit organizations, and the aerospace industry. Additionally, since 2001, he has been actively involved with the Career Development Association of Australia.