Question

find the ratio in which line segment joining the point a (3,-6) and b(5,3) is dividing x axis

Answer 1

first take the ratio as k:1 and then you will get k as 2
then use it while comapring it and you will get the value of x is (13/3 , 0) 

Answer 2

Answer:

The line segment AB is dividing x axis in 2:1.

Step-by-step explanation:

The line segment joining the point A(3,-6) and B(5,3).

The point where the line dividing x axis is (x,0).

Using section formula.

$y=\frac{my_2+ny_1}{m+n}$

Let the line segment AB is dividing x axis in k:1, then

$y=\frac{ky_2+(1)y_1}{k+1}$

$0=\frac{k(3)+(1)(-6)}{k+1}$

$3k-6=0$

$3k=6$

$k=2$

Therefore the line segment AB is dividing x axis in 2:1.