Cartesian Plane Graph
In the cartesian plane we have two variables the x and the y and the relation between these variables is called the equations. We can easily plot the graph of these equations, the graph of these equations is all the points (x, y) that satisfies the given equation.
We can easily plot the graph of any equation using the steps discussed below,
Step 1: Take some random numerical value for the x.
Step 2: Put this value in the given equation and then find the respective value of y. Generating the ordered pair (x, y)
Step 3: Repeat steps 1 and 2 several times to get different ordered pairs of (x, y)
Step 4: Plot all the points obtained in the Cartesian plane.
Step 5: Draw a curve joining all the points.
Thus, we can easily plot the graph of some well-known curves. Some of the common curves are,
- x + y = a (this represents a straight line)
- x2 + y2 = a (this represents a circle)
- x2 + y = a (this represents a parabola)
We can draw the graph of the curves given above using this method.
Cartesian Plane
Cartesian plane is defined as the two-dimensional plane used in the Cartesian coordinate system. This plane is formed by intersecting two perpendicular lines called the x-axis and the y-axis and their intersection is called the origin. This method of distributing the 2-Dimensional space into four areas was first introduced by Rene Descartes in the early 17th century. We can specify any point in this cartesian system by an ordered pair. This order pair is sufficient for telling the position of any point with respect to the origin of the Cartesian system.
In this article, we will learn about, the cartesian plane, parts of the cartesian plane, locating any point in the cartesian, and others.
Table of Content
- Cartesian Plane Definition
- Cartesian Plane Example
- Parts of a Cartesian Plane
- Axes
- Origin
- Cartesian Plane Quadrants
- Coordinate of a Point
- Plotting Points on Cartesian Plane
- One Dimensional Plane(Line)
- Three Dimensional Plane