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Math·Algebra·Linear equations in two variables

hard

In the $xy$-plane, lines $k$ and $j$ are perpendicular and intersect at the point $(4,23)$. Line $j$ passes through the origin, and line $k$ passes through the point $(p,0)$, where $p$ is a constant. What is the value of $p$?

A

-128.25

B

-127.75

C

135.75

D

136.25