Question

A=(3,1)
B=(6,7)
2ratio3​

Answer 1

Step-by-step explanation:

A=(3,1)

B=(6,7)

m:n= 2:3

a point P divides the line segment AB in the ratio m:n internally is

$= ( \frac{mx2 + nx1}{m + n} \: \frac{my2 + ny1}{m + n} )$

$= ( \frac{2 \times 6 + 3 \times 3}{2 + 3 \: } \: \frac{2 \times 7 + 3 \times 1}{2 + 3} )$

$= ( \frac{12 + 9}{5} \: \frac{14 + 3}{5} )$

$= ( \frac{21}{5} \: \frac{17}{5} )$