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\[5x+8y=-9\;\Rightarrow\, y=-\frac{ 5 }{ 8 }x-\frac{ 9 }{ 8 } \\ m_1=-\frac{ 5 }{ 8 }\\ m_2=-\frac{ 1 }{ m_1 } = -\frac{ 1 }{ -5/8 } \;\Rightarrow\,m_2=\frac{ 8 }{ 5 } \\ b=y-mx=10-\frac{ 8 }{ 5 }\cdot10 \;\Rightarrow\,b=-6\]
Thank you so much for walking me through it! @JDcap
My pleasure.
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