A Cartesian plane, also known as a coordinate plane or Cartesian coordinate system, is a two-dimensional graph used to plot points and represent mathematical relationships. It consists of two perpendicular lines known as axes. Here are the features of a Cartesian plane in terms of its axes: 1. **Horizontal Axis (x-axis):** - The horizontal axis is usually represented as the "x-axis." - It runs horizontally across the plane from left to right. - The point where the x-axis intersects the y-axis is called the origin (0, 0). - Points to the right of the origin have positive x-coordinates, while points to the left have negative x-coordinates. - The x-axis is used to represent the independent variable in mathematical equations. 2. **Vertical Axis (y-axis):** - The vertical axis is usually represented as the "y-axis." - It runs vertically along the plane from bottom to top. - The point where the y-axis intersects the x-axis is also the origin (0, 0). - Points above the origin have positive y-coordinates, while points below have negative y-coordinates. - The y-axis is used to represent the dependent variable in mathematical equations. 3. **Quadrants:** - The Cartesian plane is divided into four quadrants by the x-axis and y-axis. - Quadrant I: Positive x and positive y values. - Quadrant II: Negative x and positive y values. - Quadrant III: Negative x and negative y values. - Quadrant IV: Positive x and negative y values. 4. **Coordinates:** - Points on the Cartesian plane are represented by ordered pairs (x, y), where x is the horizontal coordinate and y is the vertical coordinate. - The coordinates of a point indicate its position relative to the origin and its location in relation to the x-axis and y-axis. 5. **Distance and Slope:** - The Cartesian plane allows you to measure the distance between points using the distance formula. - It also enables the calculation of the slope of a line, which indicates its steepness or incline. The Cartesian plane provides a visual representation of mathematical concepts and is widely used in various fields including mathematics, physics, engineering, and economics.