Hello from MrBillDoesMath!
Answer: -3/2
Discussion: Assuming neither line is vertical or horizontal the product of the slopes of two perpendicular lines is always -1. We are told the slope of a line is 2/3. The slope of the perpendicular line, "m", is
m * (2/3) = -1
or
m= -3/2
Thank you,
MrB