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The question or problem ask to calculate the slope of the said dilated polygon which it was dilated by a scale factor of 3. In my own calculation the slope of the BC is 5/2 or -5/-2 and the dilated polygon has a the same slope of the original polygon. I hope this would help

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 and C under the dilation will 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