In what ratio does the X - axis divide the line segment joining the points ( - 4, - 6) and ( - 1, 7)? Find the coordinates of the points of division.


Let the required ratio be λ:1

So, the coordinates of the point M of division A ( - 4, - 6) and B ( - 1, 7) are;



Here we have;


x1 = - 4,


x2 = - 1 and


y1 = - 6


y2 = 7


=



According to the question,


Line segment joining A ( - 4, - 6) and B ( - 1, 7) is divided by the X - axis.


So y - coordinate must be zero.




So, the required ratio is 6:7 and the point of division M is;


=


=


=


Hence, the point of division is


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