![]() ![]() (-2, 5): The point is in Quadrant 2, two units to the left of zero and five units above zero. (2, 5): The point is in Quadrant 1, two units to the right of zero and five units above zero. The left, right, top and bottom parts of the plane are determined by the location of the point from the origin or zero value. If it is in the bottom plane, it has a negative value. Similarly, if the y coordinate is on the top part of the plane, its value is positive. If the x coordinate is in the left part of the plane, it has a negative value, and if it is in the right, its value is positive. Positive and negative values in the 4 quadrantsĭepending on the location of the point in one of the four quadrants on the coordinate plane, the x and y coordinates will have positive or negative values. Together, its (x, y) coordinates are represented on the 2D coordinate plane as the following: So, its x coordinate is (-3), and its y coordinate is (-4). N lies three units to the left of zero and four units below zero. If both x and y coordinates are non-zero, the point lies somewhere on the 2D coordinate plane in one of its four quadrants.Ĭonsider point N in the coordinate plane here. If both the x and y coordinates are zero (0, 0), the point is on the origin, which is where the x-axis and y-axis intersect. (-10, 0): The point is on the x axis and 10 units to the left of zero.(10, 0): The point is on the x axis and 10 units to the right of zero.(x, 0): The y coordinate is zero, so the point lies on the x-axis.(0, -10): The point is on the y axis and 10 units below.(0, 10): The point is on the y axis and 10 units above.(0, y): The x coordinate is zero, so the point lies on the y-axis.If either value is zero, the point is represented as the following: Representing x and y coordinates with examplesĪny point in a 2D space is represented by x and y coordinates as an ordered pair, either of which can be zero, positive or negative. The coordinate plane is divided into four quadrants: Similarly, plugging in y = 0 gives the x-intercept. If the equation of a line is available (y = mx + b), plugging in x = 0 into the equation yields the y-intercept. The y coordinate of an x-intercept is 0, and the x coordinate of a y-intercept is 0. The point at which a line intercepts the x-axis is called the x- intercept, and the point at which it intercepts the y-axis is called the y-intercept. It represents the vertical or perpendicular distance of the point from the origin or from the x-axis. The y value of the point (x, y) is known as the ordinate. It represents the distance of the point from the origin or along the horizontal x-axis. The x value of the point (x, y) is known as the abscissa. These distances are represented by the x-coordinate and y-coordinate, respectively. The plane, formed by the intersection of the two axes, is two-dimensional because the location of any point on this plane requires two data points: The coordinate plane is required to represent any point in a given 2D space. The system was invented by French mathematician René Descartes and is known as the Cartesian coordinate system. The x and y axes on which the x and y coordinates are plotted form a coordinate plane. The x and y coordinates of this location are written as (0, 0) or (0,0). ![]() The two axes intersect perpendicularly at the origin or zero location. (4, 3) refers to a point four units to the right of zero and three units above zero. (3, 4) refers to a point three units to the right of zero and four units above zero. That is why (3, 4) is not the same as (4, 3). The x coordinate always comes first, followed by the y coordinate. The order of the x and y coordinates in the ordered pair is important. ![]()
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