Determine whether the graphs of the given equations are parallel, perpendicular, or neither. \[ \begin{array}{l}y=-8 \\ x=9\end{array} \] Choose the correct answer below. A. Parallel B. Neither C. Perpendicular

To determine the relationship between the graphs of the given equations \( y = -8 \) and \( x = 9 \), we observe that the first equation represents a horizontal line (constant \( y \)-value across all \( x \)), while the second represents a vertical line (constant \( x \)-value across all \( y \)). Since horizontal and vertical lines are defined to be perpendicular to each other by geometric standards, the correct answer is C. Perpendicular. For some fun facts, horizontal lines like \( y = -8 \) represent every point at the same height (think of it as a flat, endless road), while vertical lines like \( x = 9 \) shoot straight up and down, giving that impression of a tall tower. They never actually "meet" unless you're talking about their intersection point, which is at the specific coordinates (9, -8) – a unique little spot in their otherwise eternal journey! So, these two types of lines perfectly showcase the beauty of geometry!