Hey mate. Here is your answer.
Answer: slope= 5/2
Solution and explanation:
Polygon which is dilated by a scale factor of 3.
The endpoints of BC are B (3,5) and C (5,10).
The image of B & C under the dilation would be:
B'=3(3,5)=(9,15)
C'=3(5,10)=(15,30)
The slope is given by change in y divided by change in x.
slope=(30-15)/(15-9)
=15/6
=5/2
Hope this helps you!