Please answer this question !! Brainliest guaranteed !! Must show work !!

Answer:
-3/2
Step-by-step explanation:
Perpendicular lines have negative reciprocal slopes. That means that it's the reciprocal, but with the opposite sign. The slope of a line perpendicular to a line with slope 2/3 would be -3/2. Here's how to figure it out:
Start with the slope: 2/3
Flip the fraction to find the reciprocal : 3/2
The sign has to be changed! So the negative reciprocal is -3/2.