Asegment has endpoints a (-1, 1) and b (8, 4) .if the segment is divided into four equal parts, the coordinates of the point closest to point a are

Step-by-step explanation:

Refer the attached diagram

We are given a segment AB which is divided into four equal parts by three points

Now we are supposed to find the coordinates of the point closest to point A.

So, the point C divides the line in the Ratio = 1:3

Coordinates of A =

Coordinates of B =

Let the coordinates of C be (x,y)

Now we will use section formula:

 and

m: n = 1:3

Now ,Substitute the values

Thus the coordinates of C is

Hence  the coordinates of the point closest to point A are  

the answer is a.

step-by-step explanation:

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