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Find P on the line segment NM that is 1/4 the distance from N (0, 0) to M (8, 10).

User Arshdeep
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1 Answer

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Let's begin by listing out the information given to us:

N (0, 0); M (8, 10); P = ?

We will find the distance between the two points and divide the distance by the ratio:


\begin{gathered} NM(x,y)=(|0-8|,|0-10|)_{} \\ NM(x,y)=(8,10) \\ P\text{ is located at 1:}4.Hence,we\text{ divide by 4}\colon \\ 1\colon4(NM)=((8)/(4),(10)/(4))=(2,2.5) \\ =(2,2.5) \end{gathered}

Point P is located at the coordinate (2, 2.5)

User Beka
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