How to locate a point on a coordinate plane, Cartesian Plane, Origin, Quadrants, Ordered Pairs
In this lecture, you will learn "how to locate a point on a coordinate plane or cartesian plane". "How to locate points in the Cartesian plane? We will use ordered pair, which contains x and y-coordinates of a point; to locate the point in correct quadrant with reference to origin. A coordinate plane is formed by the intersection of a horizontal number line and a vertical number line. The number lines intersect at the origin and separate the coordinate plane into four regions called quadrants. An ordered pair is used to locate a point in a coordinate plane.
To locate the position of an object or a point in a plane, we require two perpendicular lines. One of them is horizontal, and the other is vertical. The plane is called the Cartesian, or coordinate plane and the lines are called the coordinate axes. The horizontal line is called the x -axis, and the vertical line is called the y - axis. The coordinate axes divide the plane into four parts called quadrants. The point of intersection of the axes is called the origin. The distance of a point from the y - axis is called its x-coordinate, or abscissa, and the distance of the point from the x-axis is called its y-coordinate, or ordinate. If the abscissa of a point is x and the ordinate is y, then (x, y) are called the coordinates of the point. The coordinates of a point on the x-axis are of the form (x, 0) and that of the point on the
y-axis are (0, y). The coordinates of the origin are (0, 0). The coordinates of a point are of the form (+ , +) in the first quadrant, (–, +) in the second quadrant, (–, –) in the third quadrant and (+, –) in the fourth quadrant, where + denotes a positive real number and – denotes a negative real number. If x ≠ y, then (x, y) ≠ (y, x), and (x, y) = (y, x), if x = y.
0:00 - Introduction
0:23 - What is coordinate plane? What is origin, quadrants and ordered pairs?
1:49 - Example 1
2:25 - Example 2
3:01 - Practice Problems
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