Question

A(4,5) and B(7,-1) are two given points, and the point C divides the line segment AB externally in the ratio 4:3, Find the coordinates of C .

• A. (10,2)
• B. (25,7)
• C. (16,-19)
• D. (16,19)

Answer 1

Answer:

C. (16,-19)

$x_1=4,y_1=5,x_2=7,y_2=-1,m=4,n=3$

$C(x,y)=(\frac{mx_2-nx_1}{m-n},\frac{my_2-ny_1}{m-n})$

$C(x,y)=(\frac{4\times7-3\times4}{4-3},\frac{4\times-1-3\times5}{4-3})=(\frac{16}{1},\frac{-19}{1})=(16,-19)$