91Ó°ÊÓ

Coordinate geometry, also known as analytic geometry, is a branch of mathematics that uses coordinates to represent and analyze geometric shapes and properties. Each point in coordinate geometry is defined by an ordered pair of real numbers, usually written as (x, y). These numbers are the coordinates of the point.
The coordinate system consists of two perpendicular lines called axes: the x-axis (horizontal) and the y-axis (vertical). Where these lines intersect is called the origin, denoted as (0, 0). This system helps us describe the location of points in the plane and analyze their relationships.
In this exercise, we are given the point (0, 5). This means the point is located at x = 0 and y = 5 on the coordinate plane.

A horizontal line is a straight line that runs from left to right and has the same y-coordinate for all points on the line.
The main characteristic of a horizontal line is that its slope is zero, which means there is no vertical change as we move along the line.

• The equation of any horizontal line can be written as y = c, where 'c' is the constant y-value that all points on the line share.

In this exercise, we specifically need a horizontal line that passes through the point (0, 5). Since the y-coordinate for all points on this line must be 5, our horizontal line will have a constant y-value of 5.

The equation of a line is a mathematical expression that describes all the points on the line. There are different ways to express this equation depending on the line's characteristics.
For horizontal lines, the equation is straightforward because the y-value does not change. It can be written simply as y = c, where 'c' is the constant y-value.

• For example, if a horizontal line passes through (0, 5), then y will always be 5 regardless of the x-value.

Therefore, the equation of our horizontal line in this exercise is y = 5. This means every point (x, 5) on this line shares the same y-coordinate of 5.