Answers:
- horizontal: y = 2
- vertical: x = 9
Step-by-step explanation
All horizontal lines are of the form y = k, for some constant k. We replace k with 2 to end up with y = 2 as the horizontal line passing through (9,2). All points on this horizontal line have a y coordinate of 2. Other points on this horizontal line are (10,2) and (11,2). It passes through 2 on the y axis.
All vertical lines are of the form x = h, for some constant h. Replace h with 9 to ensure the vertical line passes through (9,2). This is how we end up with x = 9. Any point on this vertical line has an x coordinate of 9. Some examples are (9,0) and (9,5)
I recommend using a graphing tool like Desmos or GeoGebra to confirm each answer.