Answer:
(7,9)
Step-by-step explanation:
The coordinates of the point P (x,y) that divides [tex]J(x_1,y_1)[/tex] and [tex]K(x_2,y_2)[/tex] in the ratio m:n is given by:
[tex](\frac{mx_2+nx_1}{m+n}, \frac{my_2+ny_1}{m+n})[/tex]
We want to find the cordinates of P so that P partitions JK in the ratio 5;1 with J[2;4] and K {8;10]
We substitute the point and the ratio into the formula to get;
[tex](\frac{5*8+1*2}{5+1}, \frac{5*10+1*4}{5+1})[/tex]
[tex](\frac{40+2}{6}, \frac{50+4}{6})[/tex]
This simplifies to [tex](\frac{42}{6}, \frac{54}{6})[/tex]
(7,9)
