Answer:
you have it well
Explanation:
To start everything you did is fine, I solved it in different ways but the most efficient is yours, let me know if you want me to tell you the other ways
I leave the functions of the lines
AB: y = -2/3 + 25/3
BC: y = 3/2x - 5/2
AE: y = -5x + 17
you can see that the slopes of AB and B are perpendicular
slopeAB * slopeBE = -1
-2/3 * 3/2 = -1
you have it well