Question

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

Answer 1

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

Explanation:

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]