Step-by-step explanation: For this question, we just need to understand what exactly is a parallel line, a perpendicular line and an intersection.
Parallel lines: Two lines are parallel when they would never cross each other. bellow we have an example
As we can see below, lines blue and black have the same direction, and even if we make both longer, they will never touch each other.
Perpendicular lines: Two lines are perpendicular if they cross each other just once and make an angle of 90°. we can see an example below
As we can see above, lines blue and black are perpendicular.
Intersection: An intersection happens when two lines cross each other we can see in the image above that there is just one intersection between lines blue and black.
Final result: Once we understand all the concepts we can see that the final answer is the letter B. Once line blue is constructed through point p and it is perpendicular to line AB.