2.1 The Rectangular Coordinate System

Miller & Gerken, College Algebra 2e — Pages 198-211

Learning Objectives

  • Plot points in the coordinate plane

  • Apply the distance formula

  • Apply the midpoint formula

  • Graph equations by plotting points

Key Concepts

Distance Formula

\[d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\]

Midpoint Formula

\[M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)\]

Examples

Example 1. Example 1

Work through textbook example…​

Practice Problems

Problem 1 (p. XX, #YY)

Problem:

My Work:

Answer:

Section Summary

  1. Key point 1

  2. Key point 2

Study Notes

Personal observations…​