Answer:
[tex]( 4.8 ,7.6)[/tex]
Step-by-step explanation:
We want to find the point, B(x,y) that divides the directed line segment from Messi, M(3,4) to S(6,10) in the ratio m:n=3:2
We use the section formula:
[tex]( \frac{mx_2+nx_1}{m + n} ,\frac{my_2+ny_1}{m + n})[/tex]
We substitute the coordinates and the ratio into the section formula to get:
[tex]( \frac{3 \times 6+2 \times 3}{3 + 2} ,\frac{3 \times 10+2 \times 4}{3+ 2})[/tex]
We simplify to get:
[tex]( \frac{18+6}{5} ,\frac{30+8}{5})[/tex]
This gives us:
[tex]( \frac{24}{5} ,\frac{38}{5})[/tex]
[tex]( 4.8 ,7.6)[/tex]
