Question

These are composed of intersecting horizontal and vertical lines that form a cartesian plane.

Answer 1

The Cartesian plane consists of a horizontal x-axis and a vertical y-axis intersecting at the origin, used to label points in 2D and extended to 3D with a z-axis. It's used in line graphs to represent relationships between variables and in various fields such as art and physics for perspective and vector analysis.

Step-by-step explanation:

These are composed of intersecting horizontal and vertical lines that form a Cartesian plane. The system is based on two axes that are perpendicular to each other: the x-axis (horizontal) and the y-axis (vertical). At their intersection lies the origin, from which distance is measured in positive and negative directions. Working well on a flat surface like paper, this Cartesian system can also be extended into 3D space by adding a z-axis, allowing points to be labeled in three-dimensional space.

Graphs commonly utilize this Cartesian plane, showcasing relationships between two variables: one on the x-axis and the other on the y-axis. These graphs are known as line graphs. The concept of a Cartesian system also applies to linear perspective in art, where orthogonal lines meet at a vanishing point on the horizon line, and in physics, where vectors are broken down into horizontal and vertical components for ease of calculation.

Answer 2

, The number plane, or Cartesian plane, is divided into four quadrants by two perpendicular lines called the x-axis, a horizontal line, and the y-axis, a vertical line. These axes intersect at a point called the origin. Once a unit distance has been chosen, the position of any point in the plane can be uniquely represented by an ordered pair of numbers (x,y). For the point (5,3), for example, 5 is the x-coordinate and 3 is the y-coordinate, sometimes called the first and second coordinates. When developing trigonometry, the four quadrants are usually called the first, second, third and fourth quadrants as shown in the following diagram.