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

2 Answers
Aug 4, 2016

=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

Aug 4, 2016

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

enter image source here