The slopes -2/3 and 3/2 multiply to -1, which is sufficient info that the lines are perpendicular. Perpendicular slopes always multiply to -1 assuming neither line is vertical nor horizontal.
Note how -2/3 is the negative reciprocal of 3/2, and vice versa.
Answer:
perpendicular
perpendicular lines have slopes that are negative reciprocals of one another. if a slope of a line was 5, then the slope of a line perpendicular to it would be -1/5, for example.
