Can someone please explain how I can get coordinates for B using the slopes that are shown in the question? I'm not sure how I came to my solution where I tried to use y=mx+b. For e.g. to solve for the x coordinate I put $x=(3/2)5$ using slope of AB and using x coordinate from (5,0) and got 15/2 then for the y coordinate of B I used $y=(1/2)(15/2)$ to get 15/4. Therefore got coordinates (15/2, 15/4). I believe I have a flaw in my logic. Could you please point out where I'm going wrong.
Thank you in advance!