page_title: Log–log plot
section_title: Slope of a log–log plot
hierarchical_section_title: Log–log plot / Equations / Slope of a log–log plot
caption_attribution_description: slope of log-log plot
context_page_description: In science and engineering, a log–log graph or log–log plot is a two-dimensional graph of numerical data that uses logarithmic scales on both the horizontal and vertical axes. Monomials – relationships of the form – appear as straight lines in a log–log graph, with the power term corresponding to the slope, and the constant term corresponding to the intercept of the line. Thus these graphs are very useful for recognizing these relationships and estimating parameters. Any base can be used for the logarithm, though most commonly base 10 are used.
context_section_description: To find the slope of the plot, two points are selected on the x-axis, say x₁ and x₂.  Using the above equation:
  and
  The slope m is found taking the difference:
  where F₁ is shorthand for F ( x₁ ) and F₂ is shorthand for F ( x₂ ). The figure at right illustrates the formula. Notice that the slope in the example of the figure is negative. The formula also provides a negative slope, as can be seen from the following property of the logarithm:
caption: Finding the slope of a log–log plot using ratios
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