Final answer:
The line that passes through the point (2, 8) is represented by the equation y = 9x - 18.
Step-by-step explanation:
To determine which line passes through the point (2, 8), we can substitute the x and y values into each of the given equations and see if they satisfy the equation. Let's try:
A) y = -18x + 9: When x = 2, y = -18(2) + 9 = -36 + 9 = -27, which doesn't match the given y value of 8.
B) y = 18x - 9: When x = 2, y = 18(2) - 9 = 36 - 9 = 27, which also doesn't match the given y value.
C) y = -9x + 18: When x = 2, y = -9(2) + 18 = -18 + 18 = 0, which again doesn't match the given y value.
D) y = 9x - 18: When x = 2, y = 9(2) - 18 = 18 - 18 = 0, which matches the given y value of 8.
Therefore, the line that passes through the point (2, 8) is represented by the equation y = 9x - 18, option D.