Write the equation of the line that goes through (9,-4) and is perpendicular to the line y = -3x – 8

y = (1/3)*x - 7

Step-by-step explanation:

When we have a line:

y = a*x + b

A perpendicular line to this one needs to have a slope s equal to:

s = -(1/a)

Then any line written as:

y = -(1/a)*x + c

is perpendicular to the lines of the form "y = a*x + b"

Then if we have the line:

y = -3*x - 8

The family of perpendicular lines to this one is:

y = -(1/-3)*x + c

y = (1/3)*x + c

where c can be any real number.

Now we also want that this line passes through the point (9, -4)

Then we need to replace x by 9, and y by -4

-4 = (1/3)*9 + c

Now we can solve this for c.

-4 = 9/3 + c

-4 = 3 + c

-4 - 3 = c

-7 = c

Then the line that is perpendicular to the line y = -3x – 8 and that goes through (9, -4) is:

y = (1/3)*x - 7

the central idea is that:

individuals should refuse to cooperate with institutions they believe unjust.

thoreau felt  that governments were more often agents of corruption than justice, even democracies, and that just because the majority feels a certain way does not make it just or correct in absolute terms. he uses the fact that slavery exists in our democracy to support this idea.

he goes on to say that, as a result, people should live true to their own internal laws regarding right and wrong, as a product of reflection and a moral life, rather than following every law that society imposes. 

step-by-step explanation: