Question

How do you find the slope that is perpendicular to the line `-6x -8y = 8`?

Answer 1

`=4/3`

Explanation:

`y=mx+c` where `m` is the slope
`-6x-8y=8`
or
`8y=-6x-8`
or
`y=-6x/8-8/8`
or
`y=-3x/4-1`
So the slope is `m=-3/4` of the above lineSo the slope of the line that is perpendicular to the above line`=m1=-1/m=4/3`

Answer 2

`m_2=4/3`

Explanation:

`-6x-8y=8`

`"rearrange the equation -6x-8y=8 as :"`

`8y=-6x-8`

`y=-6/8x-8/8`

`y=color(red)(-3/4)x-1`

`"slope of the line is "-3/4`

`"the lines are perpendicular if product of their slopes are equal to -1"`

`m_1*m_2=-1`

`-3/4*m_2=-1`

`m_2=4/3`