Kalkulator Tiger Algebra
Graphing an ordered pair on a coordinate plane
Ordered pair
An ordered pair is a set of coordinates that tells us exactly where on a coordinate plane a point is located. Ordered pairs are written as , in which represents the ordered pair's x-coordinate (how far to move left or right, away from the plane's center, the origin) and represents the ordered pair's y-coordinate (how far to move up or down, away from the plane's center, the origin). is the ordered pair of a point that is units to the right of the plane's center and units down from the plane's center.
Coordinate plane
A coordinate plane, sometimes also called an XY plane, Cartesian plane, number plane, or graph, is a two-dimensional surface that is formed by two infinite, perpendicular number lines called the x and y-axes that intersect at the coordinate . This point is the center of the coordinate plane and is called the origin.
To show that the x and y-axes extend infinitely, their ends are usually drawn as arrows.
Coordinate planes are made of four quadrants, starting with Quadrant I in the top right, and rotating counter-clockwise around the origin. The locations of points on a coordinate plane are determined by the signs ( or ) of their coordinates:
Quadrant I (top right): both x and y-coordinates are positive.
Quadrant II (top left): x-coordinate is negative; y-coordinate is positive.
Quadrant III (bottom left): x-coordinate is negative; y-coordinate is negative.
Quadrant IV (bottom right): x-coordinate is positive; y-coordinate is negative.
Points with at least one coordinate that equals are located on the x or y-axis, meaning they are not in any quadrant. Ordered pairs with the form are located on the horizontal x-axis, whereas ordered pairs with the form are located on the vertical y-axis.
Other relevant terms:
Origin: The point where the x and y-axes intersect. Its coordinates are and it represents the center of the coordinate plane.
Point: A point is a representation of an ordered pair on a coordinate plane. Though they are usually drawn as dots, points do not have dimensions and are only used to indicate location.
x-axis: One of the two number lines that form a coordinate plane. The x-axis runs horizontally (left and right).
y-axis: One of the two number lines that form a coordinate plane. The y-axis runs vertically (up and down).
Abscissa: The x-value in an ordered pair. For example: In , is the abscissa.
Ordinate: The y-value in an ordered pair. For example: In , is the ordinate.
An ordered pair is a set of coordinates that tells us exactly where on a coordinate plane a point is located. Ordered pairs are written as , in which represents the ordered pair's x-coordinate (how far to move left or right, away from the plane's center, the origin) and represents the ordered pair's y-coordinate (how far to move up or down, away from the plane's center, the origin). is the ordered pair of a point that is units to the right of the plane's center and units down from the plane's center.
Coordinate plane
A coordinate plane, sometimes also called an XY plane, Cartesian plane, number plane, or graph, is a two-dimensional surface that is formed by two infinite, perpendicular number lines called the x and y-axes that intersect at the coordinate . This point is the center of the coordinate plane and is called the origin.
To show that the x and y-axes extend infinitely, their ends are usually drawn as arrows.
Coordinate planes are made of four quadrants, starting with Quadrant I in the top right, and rotating counter-clockwise around the origin. The locations of points on a coordinate plane are determined by the signs ( or ) of their coordinates:
Quadrant I (top right): both x and y-coordinates are positive.
Quadrant II (top left): x-coordinate is negative; y-coordinate is positive.
Quadrant III (bottom left): x-coordinate is negative; y-coordinate is negative.
Quadrant IV (bottom right): x-coordinate is positive; y-coordinate is negative.
Points with at least one coordinate that equals are located on the x or y-axis, meaning they are not in any quadrant. Ordered pairs with the form are located on the horizontal x-axis, whereas ordered pairs with the form are located on the vertical y-axis.
Other relevant terms:
Origin: The point where the x and y-axes intersect. Its coordinates are and it represents the center of the coordinate plane.
Point: A point is a representation of an ordered pair on a coordinate plane. Though they are usually drawn as dots, points do not have dimensions and are only used to indicate location.
x-axis: One of the two number lines that form a coordinate plane. The x-axis runs horizontally (left and right).
y-axis: One of the two number lines that form a coordinate plane. The y-axis runs vertically (up and down).
Abscissa: The x-value in an ordered pair. For example: In , is the abscissa.
Ordinate: The y-value in an ordered pair. For example: In , is the ordinate.