Can You Calculate Angles from Graph Coordinates and Slopes?

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Discussion Overview

The discussion revolves around the calculation of angles from graph coordinates and slopes, exploring methods to determine angles between points defined by their x and y coordinates. The scope includes mathematical reasoning and technical explanations related to geometry and trigonometry.

Discussion Character

  • Exploratory, Mathematical reasoning

Main Points Raised

  • One participant inquires about the possibility of calculating angles from a set of x and y coordinates and seeks guidance on the approach.
  • Another participant suggests using the arctangent function to find the angle between two points defined by their coordinates.
  • A question is raised regarding the calculation of angles when dealing with a single slope that does not intersect the axes.
  • One participant emphasizes that the slope, defined as rise over run, can be used to determine the tangent of the angle.

Areas of Agreement / Disagreement

Participants express different perspectives on the calculation methods, and the discussion remains unresolved regarding the specifics of calculating angles from slopes and coordinates.

darkelf
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Hi,

Is there a way of calulating the angles from the slope or coordinates of a graph. Say you have a bunch of x and y coordinates and you want to find the angles between those points at various coordinates (say every x,y ratio) can it be done?
How would you go about it?
 
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yes,why not. :)

Angle between lines joining [tex](x_1,y_1) \&\(x_2,y_2)=tan^{-1}\left( \frac{y_2-y_1}{x_2-x_1}\right)[/tex]
 
Last edited:
Angles between lines joining? If you have a single slope that doesn't intercept at the x or y axis?
 
Have another look at skand's answer. Slope means rise over run, right? So if you have the slope, then you have the tangent of the angle.
 

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