Find the point that is 1/5 the way from a to b where
a(-7,4) and b(3, 10).

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

step-by-step explanation:

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step-by-step explanation: