Question

find the ratio in which the point (2,x) divides the line joining the points A(-2,2)and B(3,7) internally. find the value of x​

Answer 1

Let the ratio be k:1

So x1=2

2=(3k-2)/(k+1)

2k+2=3k-2

-k=-4

k=4:1

Ratio=4:1

x=(4*7+1*2)/(4+1)

x=(28+2)/5

x=6