The endpoints of AB are A(1, 4) and B(5, -1). What are the coordinates of the point that divides AB in the ratio 2 : 3?
A.(3.4, 1)
B.(1.2, 4)
C.(2.6, 2)
D.(2, 2.75)

Question

The endpoints of AB are A(1, 4) and B(5, -1). What are the coordinates of the point that divides AB in the ratio 2 : 3?
A.(3.4, 1)
B.(1.2, 4)
C.(2.6, 2)
D.(2, 2.75)

dtan5457 · Answer

@DanJS

dtan5457 · Answer

@Directrix @Nnesha

dtan5457 · Answer

Not even my question but man, i wanna know how to solve this

dtan5457 · Answer

@Directrix 

would you happen to know this?

directrix · Answer

Yes, I do. There's a coordinate Geometry formula based on the plane Geometry theorem that If three or more parallel lines intersect two transversals, then they cut off the transversals proportionally.

directrix · Answer

Let me look up the coordinate Geometry formula.

dtan5457 · Answer

ok. this problem made me real curious.

directrix · Answer

I want to find the general formula. I had it the other day when I worked a problem. For the nonce, look at this http://openstudy.com/updates/53212a0ae4b04d84ff44db30

directrix · Answer

@dtan5457   I need to scan the article from my book to computer to here. Hold on.

dtan5457 · Answer

Haha, not even my question but I'd like to learn this. thank you dude

directrix · Answer

@dtan5457

dtan5457 · Answer

perfect. gonna try to solve this tomorrow.

dtan5457 · Answer

got some work to do :O

directrix · Answer

Example of Use of Formula  @dtan5457