find the ratio in which the line 2x+y=4 divides the line segment joining the points p (2,-2) and q(3,7) PliZ solve
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Let the ratio be m:n
x = (3m+2n)/(m+n)
y = (7m-2n)/(m+n)
Substituting x and y in 2x+y=4 , we get
6m+4n+7m-2n = 4m+4n
9m = 2n
m:n = 2:9
So, the line divides the points in the ratio 2:9
x = (3m+2n)/(m+n)
y = (7m-2n)/(m+n)
Substituting x and y in 2x+y=4 , we get
6m+4n+7m-2n = 4m+4n
9m = 2n
m:n = 2:9
So, the line divides the points in the ratio 2:9
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