Answer:
none of the above
Step-by-step explanation:
The equation of a line perpendicular to the line y = 2/3x +5 would have a slope that is the negative reciprocal of 2/3. The negative reciprocal of 2/3 is -3/2. There is no answer option with a slope of -3/2.
The equation of the perpendicular line should have the form
y = -3/2x +b