Which of the following points lie on the y-axis? Explain your answer. Points B and D lie in the first quadrant. In which quadrants of the coordinate plane do the following points lie? Head over to SplashLearn to know more about the concepts of a coordinate plane. The point where these lines connect is called the origin (0, 0). There are four quadrants in the coordinate plane. A vertical (y) axis and a horizontal (x) axis make up the coordinate plane. The points on the x-axis have their y-coordinate 0 so the points on x-axis are represented as (x,0) and similarly the points on y-axis have their x-coordinate 0, so they are represented as (0,y).Ī coordinate plane is a graphing and description system for points and lines.The system is commonly referred to as the Cartesian coordinate system because French mathematician René Descartes invented it. The coordinate plane was created hundreds of years ago.The origin, obviously is denoted as (0,0) In a similar way, we can find the position of any point on the coordinate plane and it may take values positive or negative depending on the quadrant it lies in. Here the position of A on x-ais is 1 unit and on y-axis is 2 units, therefore we will write the position of A as A(1,2) on the coordinate plane. If we want to convey the position of point A, we will check where it lies with respect to the x- and y-axis respectively. In this quadrant, the x-axis has positive numbers and the y-axis has negative numbers.Ĭoordinate: Every point on the coordinate plane is expressed in the form of the ordered pair (x,y) where x and y are numbers that denote the position of the point with respect to the x-axis and the y-axis respectively.įor example: Consider the point A in the given image: Quadrant IV: The bottom right Quadrant is the fourth Quadrant denoted as Quadrant IV. In this quadrant, both the x-axis and the y-axis have negative numbers. Quadrant III: The bottom left Quadrant is the third Quadrant denoted as Quadrant III. In this quadrant, the x-axis has its negative numbers and the y-axis has positive numbers. Quadrant II: The upper left Quadrant is the second Quadrant denoted as Quadrant II. In this quadrant, the x-axis and the y-axis both have positive numbers. Quadrant I: The upper right Quadrant is the first Quadrant denoted as Quadrant I. The quadrants are denoted by roman numerals and each of these quadrants have their own properties. Quadrants: The two number lines divide the coordinate plane into 4 regions. It functions like a map that follows directions from one point to another. The point where the number lines intersect is called the origin.Ī coordinate plane is a tool used for graphing points, lines, and other objects. The left and the bottom part of the plane have negative x-axis and negative y-axis for negative integers. The plane is called two-dimensional because anywhere on this plane where you can put your finger, the location of that point will need two things– its distance on the x-axis and its distance on the y-axis. These two number lines intersect each other perpendicularly and form the coordinate plane that looks like this: One of these number lines is a horizontal number line called the x-axis and the other number line is a vertical number line called the y-axis. A coordinate plane is a two-dimensional plane formed by the intersection of two number lines.
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