Answer:
Hence the coordinate of P are (5,13.5).
Step-by-step explanation:
Given:
The line segment AB with point A≡(-1,2) and B≡(7,14)
To Find :
A point p coordinates as it divides seg AB in ratio of 1:3.
Solution:
Now we know the formula for the directed line segment as with ratio a:b
and coordinates of end points (x1,y1)and(x2,y2)
hence here values are ,
a=1 ,b=3 and x1=-1,y1=2 x2=7,y2=14
P≡[{(a*x1+b*x2)}/(a+b),{(a*y1+b*y2)}/(a+b)]
P≡[{(1*-1+3*7)}/(4),{(1*2+14*3)}/4]
p≡(20/4,54/4)
P≡(5,13.5)
Hence the coordiante of the P on directed line is at (5,13.5) as it divides in 1:3 ratio.
