Question

Determine the ratio in which 3 x + y - 9 is equals to zero divide the line segment joining the points 1,3 and 2,7
PLEASE HELP SOLVE FULLY

Answer 1

Answer:

Step-by-step explanation:

Let the point be (x,y)Then the line segment is AB withA(1,3) and B(2,7)

m1=k,m2=1,x1=1,x2=2,y1=3,y2=7

By line segment ratio formula:m1x2+m2x1/m1+m2=X

=>(k)(2)+(1)(1)/k+1=X

=>X=2k+1/k+1..........eq1

Y=m1x2+m2x1/m1+m2

=>(k)(7)+(1)(3)/k+1

=>Y=7k+3/k+1..........eq2

From equation given in question,

3x+y-9=0

3x=9-y

Put values of x and y from equation 1 and 2 above and you will get k=3:4