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Put it in a simple way, it is a (curve) line from Point A (Green) to Point B (Yellow), in 0-1 time, with a control point(Point where both line are connected).
A point’s position in a Bezier Curve line is based on the position of a point in three lines at the time(t).
Three lines: Point A to Control Point (Line 1), Control Point to Point B (Line 2), Line 1 to Line 2 (Line 3) based on time(t) at Line 1 and Line 2.
Bezier Curve is formed based on the point at time(t) in Line 3 (Black).
Example of how the curve is formed: