Alg6.16

Find the ratio in which the X-axia divides the line joining the points (2,4) and (-4,3).

Let the ratio be a:1

Hence the point is

$\left(\frac{-4a+2}{a+1},\frac{3a+4}{a+1}\right)\,$

Now the point of divide is X-axis,i.e y coordinate is zero.

Hence

$\frac{3a+4}{a+1}=0\,$

$3a+4=0\,$

The value of a is -4/3.So the ratio is -4:3