What is the Cartesian plane?
A Cartesian plane is a graph with two axes, one is called the x-axis and the other one is the y-axis. These two axes are perpendicular to each other. The origin (O) is in the exact center of the graph intersecting point of the two axes. The Cartesian Plane is also referred to as the x-y plane or the coordinate plane.
Why is it called Cartesian plane?
The Cartesian plane is named after the French mathematician and philosopher René Descartes (1596–1650), who introduced the coordinate system to show how algebra could be used to solve geometric problems.
What are the types of Cartesian planes?
A Cartesian coordinate system in two dimensions (also called a rectangular coordinate system or an orthogonal coordinate system) is defined by an ordered pair of perpendicular lines (axes), a single unit of length for both axes, and an orientation for each axis.
What is the example of cartesian plane?
The Cartesian coordinate system uses a horizontal axis that is called the x-axis and a vertical axis called the y-axis. Equations for lines in this system will have both the x and y variable. For example, the equation 2x + y = 2 is an example of a line in this system.
How important is the Cartesian plane?
Either way, the Cartesian coordinate system is one of Descartes’ most important legacies (although he was not the only person to have the idea). It allows us to answer geometric problems using algebra and to visualise algebraic relationships that would otherwise remain quite abstract.
What is Cartesian plane used for?
The Cartesian Plane is sometimes referred to as the x-y plane or the coordinate plane and is used to plot data pairs on a two-line graph. The Cartesian plane is named after the mathematician Rene Descartes who originally came up with the concept. Cartesian planes are formed by two perpendicular number lines intersect.
What are the quadrants of a Cartesian plane?
Quadrant one (QI) is the top right fourth of the coordinate plane, where there are only positive coordinates. Quadrant two (QII) is the top left fourth of the coordinate plane. Quadrant three (QIII) is the bottom left fourth. Quadrant four (QIV) is the bottom right fourth.
Is Cartesian plane a graph?
A Cartesian coordinate system is used to graph points. Points are specified uniquely in the Cartesian plane by a pair of numerical coordinates, which are the signed distances from the point to the two axes.
What is the example of Cartesian plane?
What are Descartes coordinates?
In Descartes’s system, the first coordinate value (x -coordinate) describes where along the horizontal axis (the x -axis) the point is located. The second coordinate value (y -coordinate) locates the point in terms of the vertical axis (the y -axis).
What is the x y z axis?
An X-Y-Z matrix is a three-dimensional structure whereby the x-axis and y-axis denote the first two dimensions and the z-axis is the third dimension. In a graphic image, the x denotes width, y denotes height and the z represents depth. An X-Y-Z matrix is also known as a 3D matrix.
What are the quadrants on a graph?
Graph Quadrants: Definition And Names. Quadrants are how two-dimensional Cartesian systems are divided and the value of the points graphed within them depends on their location relative to the X-axis and the Y-axis. The quadrants divide the plane into four separate regions, and each of these regions is bounded by half of an axis.
Who invented the Cartesian coordinate system?
The rectangular coordinate system, or Cartesian coordinate system, is a systematic way of locating objects. It was invented by a mathematician called Descartes.