Question

Find the ratio in which the line 2x +y =4 divides the line segment joining the points P(2,-2) and Q(3,7)

Answer 1

let the line divide the line segement in in ration of α:1

then dude u just know i will insert points in the equation 

x= (3α+2)/α+1)

and similarly for y 
y=(7α-2)/(α+1)

now dude we got the points so here i will insert the value of x and y in the equation 
2x+y=4
2((3α+2)/α+1))  + (7α-2)/(α+1) = 4 
u will get 
2(3α+2) + (7α-2) = 4(α+1)
6α+4+7α-2=4α+4
9α= 2
α=2/9 dude we got the points 
 the ratio in which the line 2x+y=4 divides the line segement joining the points (2,-2) and (3,7)