Question

find the ratio in which the points (2,y)divides the line segment joining the points (-2,2) and B (9,7).also find the value of y.​

Answer 1

Answer:

Let the points divide in b:1

Here m=b and n=1

A(−2,2)≡(x

1

,y

1

) and B(3,7)≡(x

2

,y

2

)

B(3,7)

we know that if point (x,y) divides line in m:n

x=

m+n

mx

2

+nx

1

and y=

m+n

my

2

+ny

1

2=

b+1

3b−2

2b+2=3b−2

b=4

y=

4+1

4(7)+2

y=

5

30

∴b=4 and y=6

Ratio=b:1=4:1