-3/2 (option A)
Step-by-step explanation:
The line of green and red are perpendicular.
For two lines to be perpendicular, the slope of one line will be the negative reciprocal of the second line.
slope of one line (green) = 2/3
slope of red line = negative reciprocal of green line
slope = 2/3
reciprocal of line = 3/2
negative reciprocal of the line = -3/2
The slope of the red line = -3/2 (option A)