Final answer:
The equation of the horizontal line that passes through the point (-5, 1) would be y = 1, as horizontal lines have a slope of zero and are defined by their y-coordinate.
Step-by-step explanation:
To determine the equation of the horizontal line that passes through a given point, like (-5, 1), you need to remember that a horizontal line has a slope of zero and is defined by the y-coordinate it passes through. Therefore, every point on this line has the same y-coordinate. In this case, since the point has a y-coordinate of 1, the equation of the line would simply be y = 1, as it remains constant no matter what x-value is.
None of the given options, including Dy = -5, Ox = 1, Oy = 1, and Ox = -5, represents a horizontal line using conventional notation. A horizontal line should be written as y = a constant. In this case, since the line passes through the point (-5, 1), the y-value is 1. Hence the correct representation for the horizontal line is y = 1, which coincides with the traditional way of writing the equation of horizontal lines, and it is a horizontal line at some positive value.