#### Module 1 – Introduction and Review

### Section 1.4 – Cartesian Coordinates

#### Introduction

The use of Cartesian Coordinates allows us
to bring together algebra and geometry in a way that works to our
advantage in
both. By expressing geometric ideas in terms of coordinates we can use
algebraic techniques to prove geometric theorems and calculate
properties of
geometric objects, and by graphing equations and inequalities we can
use our
physical and geometric intuition to understand their algebraic
properties.<
#### What to do

- Read sections 2.1,2.2, and 2.3 of the text. Most of what is in
these three sections of the
text should be already known to you. But graphing is so important for
the rest
of this course, and for calculus, that you should read it very
carefully and make
sure to remind yourself of any parts you have forgotten. Keep a pencil
and
paper at hand, and be sure to check your understanding by trying the
examples
before reading how to do them.
- Read the following Study Notes and Discussion,
and make sure that you have absorbed the main
points by answering the questions.
- Follow the instructions regarding Further Practice until
satisfied that you have met the Learning
Objectives for this section.