---
title: Coordinate Geometry
description: Coordinate geometry, or Cartesian geometry, studies geometric figures by placing them in a coordinate system. Learners will understand how to calculate distances, midpoints, slopes, and equations of lines, enabling the algebraic analysis of geometric shapes.
category: mathematics
subcategory: geometry-and-trigonometry
difficulty: beginner, intermediate, advanced
url: /subject/coordinate-geometry
---

# Coordinate Geometry

Coordinate geometry, or Cartesian geometry, studies geometric figures by placing them in a coordinate system. Learners will understand how to calculate distances, midpoints, slopes, and equations of lines, enabling the algebraic analysis of geometric shapes.

## Available Resources

1 Books • 1 Courses • 4 Websites

## Websites

### 1. Desmos Graphing Calculator

Free browser-based graphing calculator for plotting equations, inequalities, and parametric curves on the coordinate plane. Sliders animate parameters, so you can see how changing slopes, intercepts, or coefficients moves lines, circles, and conics, and check hand-worked analytic geometry problems visually.

**Difficulty:** Beginner | **Price:** Free

**Link:** https://www.desmos.com/calculator

**Tags:** graphing-calculator, coordinate-geometry, function-graphing, conic-sections, visualization

### 2. Art of Problem Solving

Art of Problem Solving wiki entry on coordinate geometry, written for competition students. Covers distance and midpoint formulas, slopes, equations of lines and circles, and placing figures on axes, with links to worked contest problems that show when coordinates beat synthetic arguments.

**Difficulty:** Beginner | **Price:** Free

**Link:** https://artofproblemsolving.com/wiki/index.php/Coordinate_Geometry

**Tags:** coordinate-geometry, analytic-geometry, competition-math, problem-solving

### 3. Wolfram MathWorld

**Author:** Eric W. Weisstein

MathWorld is an online mathematics encyclopedia from Wolfram Research offering detailed, browsable articles on topics across the math spectrum, including algebra, geometry, calculus, and number theory. Each entry includes definitions, theorems, formulas, diagrams, worked examples, and links to further reading.

**Difficulty:** Intermediate | **Language:** English | **Price:** Free

**Link:** https://mathworld.wolfram.com

**Tags:** mathematics-reference, encyclopedia, abstract-algebra, number-theory, geometry

### 4. mathsisfun.com

MathIsFun.com is a beginner-friendly math site that explains concepts with clear, step-by-step lessons and interactive activities. It covers topics from algebra and linear equations to geometry, fractions, data, and more, with practice problems, worksheets, and quizzes.

**Difficulty:** Intermediate | **Language:** English | **Price:** Free

**Link:** https://mathsisfun.com

**Tags:** websites, mathematics-statistics, algebra

## Courses

### 1. Linear Algebra (MIT 18.06)

**Author:** Gilbert Strang

Matrix theory and linear algebra: systems of equations, elimination, vector spaces and subspaces, orthogonality and least squares, determinants, eigenvalues and positive definite matrices. Includes 35 lecture videos plus problem sets and exams with solutions, giving the fluency needed for applied mathematics, engineering and data science.

**Difficulty:** Intermediate | **Price:** Free

**Link:** https://ocw.mit.edu/courses/18-06-linear-algebra-spring-2010/

**Tags:** linear-algebra, vector-spaces, eigenvalues, least-squares, matrix-factorization

## Books

### 1. Coordinate Geometry

**Author:** Luther Pfahler Eisenhart

Classic Princeton text, reprinted by Dover, developing plane and solid analytic geometry from first principles. Covers lines, conics and their classification, coordinate transformations, quadric surfaces, and homogeneous coordinates, giving readers the algebraic toolkit that precedes linear algebra and projective geometry.

**Difficulty:** Intermediate | **Language:** English | **Price:** Paid

**Link:** https://www.amazon.com/dp/0486442616?tag=edmonddante07-20

**Tags:** analytic-geometry, conic-sections, quadric-surfaces, coordinate-transformations, solid-geometry

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