Endpoints of the segment XZ are [tex]X(x_1,y_1)[/tex] and [tex]Z(x_2,y_2)[/tex].
If a point Y(h, k) divides it in the ratio of m : n.
Then the coordinates of the point Y will be,
[tex](\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n})[/tex]
If the endpoints are [tex]X(-4,3)[/tex] and [tex]Z(6,-2)[/tex]and point [tex]Y(h.,k)[/tex] divides the this segment in the ratio of [tex]1:5[/tex].
(h, k) = [tex](\frac{1(6)+(5)(-4)}{1+5},\frac{1(-2)+5(3)}{1+5})[/tex]
= [tex](-\frac{14}{6},\frac{13}{6})[/tex]
= [tex](-\frac{7}{3},\frac{13}{6})[/tex]
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