Question

determine the ratio in which the line 2x+y-4=0 divides the line segment joining A(2,-2) and B (3,7). also find the point of interestion​

Answer 1

Answer:

Let the given line segment is divided in the ratio 1:n.

By section formula,

x=

1+n

3(1)+2(n)

x=

1+n

3+2n

And,

y=

1+n

7(1)+(−2)n

y=

1+n

7−2n

Substituting these value in the given equation of line,

2(

1+n

3+2n

)+(

1+n

7−2n

)−4=0

6+4n+7−2n−4(1+n)=0

13+2n−4−4n=0

9−2n=0

n=

2

9

Therefore, the ratio is 2: