How do you find the slope that is perpendicular to the line $8x+9y=7$ ?

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Answer 1 · 2017-05-25T10:15:12

The slope of the perpendicular line is $9/8$

The slope of the line $8x+9y=7 or 9y = -8x +7 or y = -8/9x +7/9$ is $m_1= -8/9$ . [Compare with straight line equation $y=mx+c$ ]

The product of slopes of two perpendicular lines is $m_1*m_2= -1 :. m_2= -1/m_1 :. m_2= -1/(-8/9)=9/8$

The slope of the line perpendicular to the line $8x+9y=7$ is $9/8$ [Ans]

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