# The rectangular coordinate plane

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### The rectangular coordinate plane

• 2. Before we learned to used Cartesian Coordinates, derived from the name of a French mathematician, René Descartes, we first used the number line to represent a pair of numbers. A number line is the basic form of a mathematical graph using a straight line with numbers corresponding to a point on the number line. A number line extends in both directions and increase in value from left to right.
• 3. Coordinate system is a system for identifying points in space by labeling them with numbers called coordinates. The Cartesian Coordinates is the most commonly used coordinate system. Cartesian Coordinate Plane is composed of a horizontal number line, x- axis, and a vertical number line, y-axis. These lines have infinite values that are each represented as a point on a number line. The two lines intersect at the origin or the point where both values for x and y are equal to 0. Any point anywhere on the plane is represented as a coordinate taking up the form (x, y). Thus, the origin has the coordinate (0, 0).
• 4. There are four regions formed in the coordinate plane. These regions are called quadrants. In Quadrant I, both values of Points x and y are positive, (+, +). In Quadrant II, Point x has negative value and point y has positive value, (-, +).
• 5. In Quadrant III, both values of Points x and y are negative, (-, -). In Quadrant IV, Point x has positive value point y has negative value, (+, -).
• 6. In the Cartesian Coordinate System, a point on the plane whose coordinates are (3,5), refers to a point located three units to the right of y-axis called the abscissa or the x-coordinate and the five units refer to a point located above the x-axis called the ordinate or the y-coordinate. The point of the intersection of the two axes is known as the origin and the point (3, 5) in a coordinate plane is called an ordered pair.
• 7. Example: Find the following points and determine its quadrant or axes. A (3, 4) = Quadrant I B (-3, 2) = Quadrant II C (-2, -4) = Quadrant III D (6, -3) = Quadrant IV E (0, 0) = origin
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