Question

find the value of k if the point (2, 2) divides the line segment joining the points a(-2, 2) and b(3, k) in the ratio m:1​

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

21 +ny

2= b+1

3b−2

2b+2=3b−2

b=4

y= 4+1

4(7)+2

• 5y= 30