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Geometry math question no Guessing and Please show work

Geometry math question no Guessing and Please show work-example-1

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k:y=m_1x+b_1\\\\l:y=m_2x+b_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-(1)/(m_1)

We have:
y=(4)/(5)x-3\to m_1=(4)/(5)

substitute


m_2=-(1)/((4)/(5))=-(5)/(4)

Answer: B. -5/4

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