Answer :

Let l:m be the ratio of the line segment joining the points (6,4) and (1, –7) and let p (x, 0) be the point on x–axis.

Section formula internally:

(x, 0) =

(x, 0) =

Equating the y– coordinates

–7l +4 m = 0

–7l = –4m

l:m = 4: 7

Therefore, x–axis divides the line segment in the ratio 4: 7 internally.

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