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Cartesian Graph

Definition

A Cartesian graph, also known as an xy-plane or coordinate plane, is a two-dimensional grid system used to plot points and graph functions. It consists of two perpendicular number lines called the x-axis (horizontal) and y-axis (vertical), which intersect at the origin (0, 0).

Analogy

Imagine the Cartesian graph as a giant game board with horizontal and vertical lines forming squares. Each square has its own unique address based on its position relative to the origin. Just like in Battleship, you can place your ships (points) on this grid and strategize your moves.

Related terms

Coordinate Pair: A coordinate pair refers to an ordered pair (x, y) that represents the location of a point on the Cartesian graph.

Slope-intercept Form: Slope-intercept form is an equation representation (y = mx + b) commonly used in linear functions where m represents slope and b represents the y-intercept.

Quadrants: The Cartesian graph is divided into four quadrants (I, II, III, IV) based on the signs of x and y coordinates. Each quadrant has its own unique characteristics.



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© 2024 Fiveable Inc. All rights reserved.

AP® and SAT® are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.