Compute properties of the secant line to a curve between two points
Contributed by:
Wolfram|Alpha Math Team
Examples
Basic Examples (2)
Compute the slope-intercept equation of the secant line to a curve between two points:
Visualize this result:
Compute the slope of this secant line:
Compute the horizontal intercept of this secant line:
Get the standard-form equation of this secant line:
Get an Association of properties of a secant line to a curve:
Get just the point-slope equation of this secant line:
Scope (1)
The first argument to SecantLine can be an implicit definition of a curve:
Properties and Relations (2)
If a secant line is parallel to a coordinate axis, its intercept with that axis is None:
Requesting secant line information about a point that is not on the curve will result in an error message:
Possible Issues (2)
If one coordinate is not specified, information on only one of the possible secant lines at the given coordinate values is returned:
The slope of a vertical secant line cannot be computed:
Neat Examples (1)
Use SecantLine and the resource function TangentLine within Manipulate to create an interactive tool that demonstrates the relationship between the tangent line to a curve at a point x=-1 and the secant line between x=-1 and another point that approaches x=-1:
Publisher
Wolfram|Alpha Math Team
Related Links
Version History
-
2.1.0
– 04 August 2023
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2.0.0
– 23 March 2023
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1.0.0
– 29 March 2022
Related Resources
Author Notes
To view the full source code for SecantLine, evaluate the following: