The perpendicular from the origin to a line meets it at the point (-2, 9) find the equation of the line.

Explanation

Slope of `AB`, `m_(1)=(9-0)/(-2-0)=-(9)/(2)`
Let slope of `PQ` is `m_(2)`.
`:.m_(1)m_(2)=-1`
`implies m_(2)=(2)/(9)`
Equation of line `PQ` is
`y-9=(2)/(9)(x+2)`
`implies 9y-81=2x+4`
`implies 2x-9y+85=0`