91Ó°ÊÓ

The coordinate axes form the backbone of coordinate geometry. These are two perpendicular lines that cross each other at a point called the origin. The horizontal line is referred to as the x-axis, while the vertical one is the y-axis.
To get started, draw these lines on a plane such that they intersect at (0,0), the origin. It’s crucial to label the x-axis and y-axis clearly to avoid confusion.
Typically, the x-axis and y-axis divide the plane into four regions called quadrants, which we will explore later. For now, it's important to understand that every point on this plane can be identified using these axes.

Plotting points on a coordinate plane is like playing a game of carefully moving across the grid, horizontally and vertically. Each point is represented by a pair of numbers within parentheses, known as coordinates.
These coordinates tell you how far to move along the x-axis and y-axis to locate a point.
To plot a point:

• Start at the origin (0,0).
• Move horizontally to the x-coordinate value.
• Then move vertically to the y-coordinate value.

By marking the spot determined by these movements, you successfully plot a point. This process is fundamental for visualizing mathematical equations in geometry.

Quadrants help to further categorize the location of points on the coordinate plane. The intersection of the x-axis and y-axis divides the plane into four quadrants.
Let’s explore each quadrant:

• **First Quadrant**: Both x and y coordinates are positive.
• **Second Quadrant**: The x-coordinate is negative, and the y-coordinate is positive.
• **Third Quadrant**: Both x and y coordinates are negative.
• **Fourth Quadrant**: The x-coordinate is positive, and the y-coordinate is negative.

Knowing the quadrant where a point lies can give you valuable insights into its position relative to the origin.

Coordinates consist of two values: the x-coordinate and the y-coordinate. These numbers are like the GPS for any point on the plane.
The x-coordinate indicates the horizontal distance from the origin, moving right if positive and left if negative.
The y-coordinate specifies the vertical distance, moving up if positive and down if negative.
Combined, these coordinates make locating any point straightforward. For example, in the point (4.5, -4.5), 4.5 is the x-coordinate indicating movement to the right, and -4.5 is the y-coordinate indicating movement downward.
Understanding these coordinates ensures you can plot points accurately and interpret their positions on the plane.