Explanation:

The horizontal and vertical lines drawn to determine the position of a point in a Cartesian plane are called the X-axis and Y-axis. These axes are the two perpendicular lines that intersect at the origin (0,0) and divide the plane into four quadrants.

X-Axis:
- The X-axis is the horizontal line that extends to the left and right of the origin.
- It is commonly referred to as the horizontal axis.
- The X-axis is labeled with positive (+) values to the right of the origin and negative (-) values to the left of the origin.
- It helps determine the horizontal position of a point in the Cartesian plane.

Y-Axis:
- The Y-axis is the vertical line that extends above and below the origin.
- It is commonly referred to as the vertical axis.
- The Y-axis is labeled with positive (+) values above the origin and negative (-) values below the origin.
- It helps determine the vertical position of a point in the Cartesian plane.

Intersection:
- The X-axis and Y-axis intersect at the origin, which is represented by the point (0,0).
- The point where the two axes intersect is crucial because it serves as a reference point for locating other points in the coordinate plane.
- The X-axis and Y-axis divide the plane into four quadrants: I, II, III, and IV.

Use:
- The X-axis and Y-axis are used to plot and locate points in a Cartesian plane.
- The X-coordinate represents the horizontal position of a point, while the Y-coordinate represents the vertical position.
- By using the X and Y coordinates, any point in the Cartesian plane can be accurately located.

In conclusion, the horizontal and vertical lines drawn to determine the position of a point in a Cartesian plane are called the X-axis and Y-axis. These axes intersect at the origin and are essential for locating points in the coordinate plane.

Coz as we know that coordinate plane is a two dimensional number line where horizontal is the X axis and the vertical line is Y axis