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Math·Algebra·Linear equations in two variables

hard

In the xy-plane, line $k$ and line $\ell$ are perpendicular and intersect at the point $(2,9)$. If line $k$ is defined by the equation $y=mx+b$, where $m$ and $b$ are constants and $m>1$, which of the following points lies on line $\ell$?

A

$(3,9-\frac{1}{m})$

B

$(3,9+\frac{1}{m})$

C

$(3,9-m)$

D

$(3,9+m)$