91Ó°ÊÓ

A coordinate plane is divided into four regions known as quadrants. These quadrants help us to easily identify where a point is located based on its coordinates. These regions are divided by the horizontal line, called the x-axis, and the vertical line, called the y-axis.

• Quadrant I: This is the top right region where both x and y coordinates are positive.
• Quadrant II: This is the top left region where the x-coordinate is negative and the y-coordinate is positive.
• Quadrant III: This is the bottom left region where both x and y coordinates are negative.
• Quadrant IV: This is the bottom right region where the x-coordinate is positive and the y-coordinate is negative.

Each quadrant helps to determine the position of a point based on the sign of its x and y coordinates. Since in our exercise the point is \((-86,0)\), which has a y-coordinate of zero, it does not belong to any quadrant.

The x-axis is a fundamental component of the coordinate plane. It runs horizontally across the plane and separates it into the top and bottom halves. Points located on the x-axis have a y-coordinate of zero, indicating that they do not lie in any quadrant but instead sit directly on the axis.
When analyzing points, especially like \((-86,0)\), the value of the x-coordinate indicates how far left or right the point is from the origin (0,0). If a point lies on the x-axis, it shows that there is no vertical movement but only horizontal placement.
To summarize, the x-axis helps to provide a reference line for where points in the coordinate plane are located. It's crucial for understanding not only where points like \((-86,0)\) reside but also for providing context about how each point is positioned relative to the origin and the quadrants.

In coordinate geometry, negative coordinates indicate the position of a point relative to the origin. Focusing on the x-coordinate, a negative value suggests the point is to the left of the y-axis.
For the given exercise with the point \((-86,0)\), the negative x-coordinate clearly shows its location is on the left side of the plane. Negative coordinates are essential for determining the precise spot where a point is plotted. They help distinguish between different quadrants or assure that a point resides on the x-axis or y-axis.
Understanding negative coordinates simplifies identifying a point's placement. It’s important in recognizing how each point transitions from left to right or bottom to top around the origin of the coordinate plane.