In the xy-plane, line \(k\) and line \(\ell\) are perpendicular and i…

Question

Prompt

In the xy-plane, line

k

and line

ℓ

are perpendicular and intersect at the point

(7, 5)

. If line

k

is defined by the equation

y = m x + b

, where

m

and

b

are constants and

m > 1

, which of the following points lies on line

ℓ

(8, 5 - \frac{1}{m})

(8, 5 + \frac{1}{m})

(8, 5 - m)

(8, 5 + m)