Question

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

Answer 1

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:

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

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