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This lecture covers the concept of parametric equations in 2D coordinates, focusing on defining lines using parametric equations in a plane with a given reference. It also discusses the representation of lines with coordinates, the use of markers for parametric equations, and the application of these concepts in solving specific equations. The lecture further explores the geometric interpretation of lines in different reference frames and provides examples of lines passing through specific points. Additionally, it delves into the notion of orthonormal coordinate systems and their significance in determining the orientation of lines in a plane.