Chapter 9. Coordinate or Analytic Geometry

9.1	Rectangular Coordinate Systems: Definitions
9.2	Distance Between Points
9.3	Midpoint Formula
9.4	Slope of a Line Including Parallel and Perpendicular Lines
9.5	Defining Linear Equations
9.6	Graphing Linear Equations
9.7	Chapter 9 Summary and Highlights

Euclidean geometry combines related elements using the methods of logic and reasoning and the tools of axioms, postulates, definitions, theorems, and constructions in order to prove, describe, calculate, generate, or use information pertaining to geometric objects. Coordinate geometry, also called analytic geometry, was created by René Descartes in the 17th century as a new geometry that combined Euclidean geometry with algebra. Coordinate, or analytic geometry, is the study of geometry using the analytical methods of algebra. This approach involves placing a geometric figure into a coordinate system illustrating the proof, and obtaining information about the figure using algebraic equations.