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Math·Algebra·Linear equations in two variables

hard

Line $k$ is shown in the xy-plane. Line $j$ (not shown) is perpendicular to line $k$ and passes through the point $(-15,-22)$. Which equation defines line $j$?

A

$y=\frac{4}{5}x-10$

B

$y=\frac{4}{5}x-34$

C

$y=\frac{5}{4}x-10$

D

$y=\frac{5}{4}x-34$