Respuesta :
Answer:
(9, -2)
Explanation:
If a point X partition a segment that starts in point (x1, y1) and ends at point (x2, y2) in a ration a:b, the coordinates of X will be equal to:
[tex](\frac{a}{a+b}(x_2-x_1)+x_1,\frac{a}{a+b}(y_2-y_1)+y_1)[/tex]So, replacing (x1, y1) by point W(3, 7) and (x2, y2) by point Y(13, -8) and the ratio a : b by 3 : 2, we get that the coordinates of X are:
[tex]\begin{gathered} (\frac{3}{3+2}(13-3)+3,\frac{3}{3+2}(-8-7)) \\ (\frac{3}{5}(10)+3,\frac{3}{5}(-15)+7) \\ (6+3,-9+7) \\ (9,-2) \end{gathered}[/tex]Therefore, the coordinates of X are (9, -2)
