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Answer:
The coordinates of the point that is 1/5 the way from A to B is
Step-by-step explanation:
Here, the given points are: A (-7,4) and B (3,10)
Let us assume the point M(x,y) on AB is such that
AM : AB = 1 : 5
⇒ AM : (AB - AM) = 1 : (5-1) = 1: 4
⇒ AM : MB = 1 : 4
Now, The Section Formula states the coordinates of point (x,y) on any line dividing the line in the ratio m1 : m2
Here, in the given equation, m1: m2 = 1:4
So, the coordinates M(x,y) is given as:
Hence, the coordinates of the point that is 1/5 the way
from A to B is