Question

The ratio in which line x + y - 6= 0 divides the line joining the
point (9,8) and (-3,-4) is​

Answer 1

Answer:

ANSWER

Solution-

Line joining (3,−1) & (8,9) is

y+1=

8−3

9+1

(x−3)

y+1=2x−6

y=2x−7

Find intersection with x−y=2⇒y=x−2

x−2=2x−7⇒x=5

y=5−2=3

the intersecting point P(5,3)

Let this point divides line in ratio m:n

then (

m+n

8m+3n

,

m+n

9m−n

)=(5,3) [section formula]

m+n

8m+3n

=5

8m+3n=5m+5n

3m=2n

n

m

=

2

m:n=3:2.