The line parallel to the x-axis will have a constant y-coordinate because all the points on this line have the same y-value. Since the point (8,-2) lies on this line, we know that the y-coordinate of every point on this line is -2.
So, the equation of the line parallel to the x-axis containing the point (8,-2) can be written as y = -2.
In this equation, "y" represents the y-coordinate of any point on the line, and the value of -2 indicates that the y-coordinate is always -2, regardless of the x-coordinate.
This means that every point on this line will have the form (x, -2), where x can take any real value.
For example, if we choose x = 5, the corresponding point on the line would be (5, -2). Similarly, if we choose x = -3, the corresponding point on the line would be (-3, -2).
In summary, the line parallel to the x-axis containing the point (8,-2) is described by the equation y = -2. This equation indicates that all the points on this line have a y-coordinate of -2, while the x-coordinate can take any real value.