Can You Calculate Angles from Graph Coordinates and Slopes?

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SUMMARY

Calculating angles from graph coordinates and slopes is achievable using the formula for the angle between two points, specifically: angle = tan-1((y2 - y1) / (x2 - x1)). This method allows for determining angles between lines connecting points (x1, y1) and (x2, y2). Additionally, understanding the slope as the ratio of rise over run provides a direct relationship to the tangent of the angle, facilitating angle calculations even when slopes do not intersect the axes.

PREREQUISITES
  • Understanding of Cartesian coordinates
  • Knowledge of trigonometric functions, specifically tangent
  • Familiarity with slope calculations in geometry
  • Basic algebra for manipulating equations
NEXT STEPS
  • Research the application of the arctangent function in programming languages like Python or JavaScript
  • Explore geometric interpretations of slopes and angles in coordinate geometry
  • Learn about vector mathematics and its relation to angles between lines
  • Investigate graphical representations of slopes and angles using tools like Desmos or GeoGebra
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Mathematicians, educators, students in geometry or trigonometry, and software developers working with graphical data visualization.

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 (x_1,y_1) \&\(x_2,y_2)=tan^{-1}\left( \frac{y_2-y_1}{x_2-x_1}\right)
 
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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