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Angle between two lines in terms of slope of the lines

Author:
Mathguru
You can see two intersecting lines (a and b) in red. Equation of the lines is written in slope intercept form(y=mx+c). Line ‘a’ makesan angle α with the positive direction of x axis(shown in blue color)and line ‘b’ makes an angle β with the positive direction of x axis(shown in blue color). A is a free point on line a and B is a free point in line b. You can move these points. Angle between these two lines (У) is also shown in black color