Answer:
Step-by-step explanation:
A(1,2) ---->(x1,y1)
B(8,16) ----->(x2,y2)
m:n = 5:2
[tex]M(\frac{x_{2}m+x_{1}}{m+n},y_{2}m+y_{1}}{m+n})\\\\=M(\frac{5*8+2*1}{5+2},\frac{5*16+2*2}{5+2})\\\\=M(\frac{40+2}{7},\frac{80+4}{7})\\\\=M(\frac{42}{7}{,\frac{84}{7})\\\\=M(6,12)[/tex]