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Math·Algebra·Linear functions

hard

Line $k$ is shown in the $xy$-plane. Line $j$ (not shown) is perpendicular to line $k$ and passes through the point $(7,15)$. What is the $y$-coordinate of the $y$-intercept of line $j$?

A

$-\frac{47}{4}$

B

$-\frac{3}{2}$

C

$\frac{4}{5}$

D

$\frac{25}{4}$