Question

determine the ratio in which the line 3x +y - 9=0 divides the line segment joining the point (1,3) and (2,7)​

Answer 1

Answer:4:5

Step-by-step explanation:let the ratio be k:1

Now, x,y= (k×2+1×1)%(k+1) ,

(k×7+1×3)%(k+1)

=(2k+1)%(k+1),(7k+3)%

(k+1)

Now putting the value of x and y in equation ,

3x+y-9=0

3×(2k+1)%(k+1) + (7k+3)%(k+1) -9=0

(6k+3)%(k+1)+(7k+1)%(k+1)=9

(6k+7k+3+1)%(k+1)=9

13k+4=9k+9

4k=5

K=4%5

So, the ratio will be 4:5