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Cartesian Coordinates and the Distance Formula

This video introduces Cartesian coordinates and the distance formula, two core ideas used throughout algebra, geometry, and calculus. We begin by reviewing how points are plotted on the coordinate plane and how to interpret ordered pairs. Next, we explain where the distance formula comes from and how it is used to find the distance between two points in the plane. The lesson includes several worked examples that emphasize clear setup, careful substitution, and simplifying the final result. Examples in this video include: • Plotting points in the Cartesian plane • Finding horizontal and vertical distances • Using the distance formula between two points • Simplifying square roots in distance problems This video is ideal for students in Algebra 1, College Algebra, or Precalculus, and serves as a strong foundation for topics like graphing, circles, and midpoint applications. Topics covered in this video: ★ The Cartesian coordinate system ★ Interpreting ordered pairs ★ Distance between two points ★ Applying and simplifying the distance formula 00:00 Introduction 00:09 The Big Idea 00:35 Definiitions and Formulas 04:48 Example 1 06:56 Example 2 09:35 Summary