Answer:
B. (7,6)
Step-by-step explanation:
When a line segment is divided in the ratio m:n, the coordinate of the point of internal division P is derived using the formula:
[tex]P(x,y)=(\dfrac{mx_2+nx_1}{m+n} ,\dfrac{my_2+ny_1}{m+n} )[/tex]
In this case, m:n=5:1
[tex](x_1,y_1)=(2,1), (x_2,y_2)=(8,7)\\P(x,y)=(\dfrac{5*8+1*2}{5+1} ,\dfrac{5*7+1*1}{5+1} )\\=(\dfrac{42}{6} ,\dfrac{36}{6} )\\P(x,y)=(7,6)[/tex]
The correct option is B.
