The coordinates for the endpoints of Segment AB are A (1, 3) and B (5, 0). Segment AB is dilated by a scale factor of 3 with the origin as the center of dilation to create Segment A′ B′ . Which of the following will be the slope of Segment A′ B′ ?

A. -3/4

B. 3/4

C. 4/3

D. Slope of Segment A'B' cannot be determined from the information provided.

Question

The coordinates for the endpoints of Segment AB are A (1, 3) and B (5, 0). Segment AB is dilated by a scale factor of 3 with the origin as the center of dilation to create Segment A′ B′ . Which of the following will be the slope of Segment A′ B′ ?

A. -3/4

B. 3/4

C. 4/3

D. Slope of Segment A'B' cannot be determined from the information provided.

mikewwe13 · Answer

@Vocaloid

mikewwe13 · Answer

@Vocaloid

563blackghost · Answer

Since the segment undergoes a dilation the slope of the segment will not change.

So find the slope of (1,3) to (5,0)

kittybasil · Answer

mike, voca's picture says "do not disturb"
just letting you know

mikewwe13 · Answer

got that

kittybasil · Answer

@Hero may I request your assistance in this question? I'm not good with these topics

mikewwe13 · Answer

but vocaloid is the one i need help this is really important before it has to be due tomorrow

kittybasil · Answer

Hero is the "Honorary Professor of Mathematics," I think he can help lol

mikewwe13 · Answer

-3/4

mikewwe13 · Answer

yes he is a hero alright

mikewwe13 · Answer

do you think do not disturb scare me ?

kittybasil · Answer

Mike, Voca asked not to be disturbed. Are you going to disrespectfully ignore her request to make her help you?

mikewwe13 · Answer

no no im jk but maybe that's just her picture

kittybasil · Answer

mikewwe13 · Answer

ok

kittybasil · Answer

@563blackghost ?

mikewwe13 · Answer

dont worry i aint gonna bother her but i just need help

kittybasil · Answer

Hmm, which math is this? I can go post it elsewhere

mikewwe13 · Answer

geometry

kittybasil · Answer

Ah, okay. Got it :)

kittybasil · Answer

@mikewwe13 here I'm gonna answer it for you since I got home just now, and I googled what dilation is.

mathbitsnotebook wrote:

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size.

Since it's the same shape, it should be logical to assume that the slope would stay the same. After all, there is no translation (although that doesn't change the slope) or turning of the segment.

kittybasil · Answer

Please refrain from tagging Voca when her picture says to not disturb her, thanks

mikewwe13 · Answer

thank you for trying your best

kittybasil · Answer

Also, please do not tag her twice in a row... she would probably get very annoyed with you lol