Topic 10.1 – Introduction to Analytic Geometry

Introduction to Analytic Geometry develops the connection between the graphical representation of a function and the symbolic algebraic equation. The key idea is to note that a graph is a set of ordered pairs (x, y) that fit a certain condition. This condition is often expressed geometrically, such as the geometric definition of a circle. The equation then represents this geometric description algebraically, for example, the radius of a circle is a distance which is represented by the distance formula or Pythagorean Theorem. Examples include The Equation of a Circle and The Point-Slope Form of a Line.

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