Can You Calculate Angles from Graph Coordinates and Slopes?

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Calculating angles from graph coordinates and slopes is possible using the formula for the angle between two points, which is given by tan^(-1)((y2 - y1) / (x2 - x1)). The slope of a line, defined as rise over run, directly relates to the tangent of the angle. If a line does not intercept the x or y axis, the same principles apply, as the slope still provides the necessary information. Understanding these relationships allows for the determination of angles between various points on a graph. This method effectively utilizes the coordinates and slopes to calculate angles accurately.
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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)
 
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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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