Polygon ABCDE is dilated by a scale factor of 3 with the center of dilation at the origin to create polygon A′B′C′D′E′. If the endpoints of BC are B(3, 5) and C(5, 10), what is the slope of B'C' ?

Question

anonymous · Answer

the endpoints would be multiplied by 3
so B' would be ( 3*3, 5*3) = (9, 15)
see what I did?
now can you do that with point C ? :)

anonymous · Answer

The help of @jigglypuff314

anonymous · Answer

@phi

anonymous · Answer

not sure how to work this problem out

phi · Answer

what is the slope of B'C' ?

do you know how to find the slope between two points ?

anonymous · Answer

no

phi · Answer

have you heard of "change in y" divided by "change in x" ?

anonymous · Answer

dosnt ring a bell

anonymous · Answer

do u know a website where i can dialate shapes on a graph?

phi · Answer

dilation expands the the distance between points, but does not change the slope of the lines

anonymous · Answer

yea

phi · Answer

so you can just find the slope between points B and C see https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/slope/v/slope-of-a-line-2

anonymous · Answer

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phi · Answer

you don't need to graph anything.  you need to find the slope between 
(3,5) and (5,10)
or if you dilate by a factor of 3, between the points
(9,15) and (15, 30)