![]() Graphing a solution set in the coordinate plane The ordered pair for point B is (4, -3).įor point C, move to the right 3 units to get an x-coordinate of 3, then move up 5 units to get a y-coordinate of 5. The ordered pair for point A is (-2, 0).įor point B, move to the right 4 units to get an x-coordinate of 4, then move down 3 units to get a y-coordinate of -3. Since there is no vertical distance to move, the y-coordinate is 0. Write the ordered pairs for points A, B, and C shown on the coordinate plane below.įor point A, move to the left 2 units to get an x-coordinate of -2. Two points, one in quadrant I and one in quadrant III are shown in the figure above. Count in either the positive (up) or negative (down) direction along the y-axis to determine a point's vertical position, as shown in the figure below. Count in either the positive (right) or negative (left) direction along the x-axis to determine a point's horizontal position. Start from the origin when locating a point in the coordinate plane. For example, all x-values and all y-values in quadrant I are positive in quadrant II, all x-values are negative and all y-values are positive all x-values and all y-values in quadrant III are negative in quadrant IV, all x-values are positive and all y-values are negative. The sign of the x and y-coordinates in each quadrant does not change. The quadrants can be used to determine the sign of the x and y-coordinates. The numbering of the quadrants proceeds counter-clockwise from quadrant I such that quadrant II is the top left quadrant, quadrant III is the bottom left quadrant, and quadrant IV is the bottom right quadrant. Quadrant I is the quadrant in the top right. The axes also divide the coordinate plane into four regions called quadrants as shown in the coordinate plane above. ![]() Similarly, the second number represents the position of the point on the y-axis and is accordingly named the y-coordinate. It represents the position of the point on the x-axis. The first number in the pair is referred to as the x-coordinate. The location of a point is given as an ordered pair of numbers, (x 1, y 1). ![]() The grid on the coordinate plane above is shown with light gray line segments. A grid is a set of uniformly spaced horizontal and vertical lines. The two axes (plural for axis) intersect vertically at a point called the origin of the coordinate plane.Ī grid is often drawn on a coordinate plane to make it easier to locate a point. x-axis, y-axis, and originĪ coordinate plane is formed by the intersection of a horizontal number line called the x-axis and a vertical number line called the y-axis. Several properties characterize a coordinate plane. The coordinate plane can also be referred to as the Cartesian coordinate plane, as it is used as part of the Cartesian coordinate system. The figure below shows five points in a coordinate plane: A, B, C, D, and E. The coordinate plane can be used to locate points on a plane. The point at which the x and y-axis intersect is known as the origin. Home / geometry / coordinate plane Coordinate planeĪ coordinate plane is a two-dimensional plane formed by the intersection of the x-axis and the y-axis.
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