Final answer:
The equation of a line that passes through the points (0, 8) and (8, 8) is D) y = 8, which represents a horizontal line that intersects the y-axis at 8 for all values of x.
Step-by-step explanation:
The equation of a line that contains the points (0, 8) and (8, 8) is one with the same y-coordinate for both points, which indicates that it is a horizontal line. To find the equation of this line, we observe that no matter what the x-coordinate is, the y-coordinate remains constant at 8. Therefore, the equation of the line can be written as y = 8, representing a horizontal line that crosses the y-axis at 8.
If we plug in both provided points into this equation, (0, 8) and (8, 8), we can see that they both satisfy the equation since the y-value remains 8 regardless of x. So, the correct choice is D) y = 8.