Question

Find the ratio in which point p(-1,y) lying on the line segment joining points A(-3,10) and B(6,-8) divides it .Also find the value of y​

Answer 1

Let the ratio be m:n

Then,

m+n

mx

2

+nx

1

=−1

⇒

m+n

6m+3n

=−1

⇒6m−3n=−m−n

⇒7m=2n

⇒

n

m

=

7

2

⇒m:n=2:7

Now,

m+n

my

2

+ny

1

=y

⇒

2+7

2(−8)+7(10)

=y

⇒−16+70=9y

⇒9y=54

⇒y=

9

54

=6

Answered By=shreyash. ......

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