Explanation:
Graph with Numbers
The coordinate plane is a two-dimensional plane that is divided into four quadrants. The upper-right quadrant is known as quadrant one, and the following quadrants go in counter-clockwise order: quadrant two, quadrant three, quadrant four (see image below). Quadrants are typically labeled using Roman numerals (I, II, III, and IV). The coordinate plane is comprised of two axes that are perpendicular lines, meaning when they are joined together, they create four right angles. The x-axis is the horizontal axis, and the y-axis is the vertical axis. The point where the two axes are joined together is called the origin. The coordinates of the origin are (0, 0). This means that the x-coordinate is 0 and the y-coordinate is 0. Ordered pairs are always written in the format (x, y).
The coordinate plane
The coordinate plane has four quadrants, a horizontal x-axis and vertical y-axis, and the origin is the point in the center.
The left side of the x-axis contains negative numbers. Traveling to the left on the coordinate plane indicates the x-value is getting smaller. The right side of the x-axis contains positive numbers. Traveling to the right on the coordinate plane indicates the x-value is getting larger. The upper half of the y-axis contains positive numbers. Traveling upward on the coordinate plane indicates the y-value is getting larger. The lower half of the y-axis contains negative numbers. Traveling downward on the coordinate plane indicates the y-value is getting smaller.
In the following image, point A is graphed on the coordinate plane. The coordinates for point A are (3, 2). This means that the x-value is 3 and the y-value is 2. To graph point A on the coordinate plane, start at the origin and go three spaces to the right (because the x-value, 3, is positive) and two spaces upward (because the y-value, 2, is positive). Since the x-value and y-value are both positive, point A will be in quadrant I.
Graphing the point (3, 2)
In order to graph the point (3, 2), move left three spaces and up two spaces on the coordinate plane.