Final answer:
The equation of a line with a slope of 0 that passes through (-5, 8) is y = 8, which is a horizontal line.
Step-by-step explanation:
You are looking for an equation of a line that passes through the point (-5, 8) and has a slope of 0. When the slope (m) of a line is 0, the line is horizontal, and the value of y remains constant no matter what the x-value is. Therefore, the equation of a line with a slope of 0 that passes through (-5, 8) would be y = 8.
In summary, the correct equation is y = 8, which means the answer is option A. y = 8. This line will be horizontal and will cross the y-axis at the point where y is 8. Since the slope is 0, the line does not rise or fall as it moves along the x-axis.