Question

find the equation of line passing through -2,-5 and cutting X and Y axes at A and B such that OA+2OB=O


need full explanation ​

Answer 1

Answer:

let, OA = k

OA+2OB=O

or, k + 2 OB= 0

or, OB =-k/2

let, the equation of line be,

(x/ k) + {y/(-k/2)} = 1

or, (x/k) -(2y/k) =1

or, x-2y= k .....(1)

(-2,-5) is on line (1), then

-2+10=k

or, k= 8

so , the equation of line is,

x-2y= 8