:
question
the points (3,8) and (9,24) form a proportional relationship. find the slope of the line through the
points. then use the slope to graph the line.
the slope is

The answer is: the slope is 16/6. The line can be formed by plotting the two points and drawing a line between them, across the graph.

Step-by-step explanation:

The given points are:

(3, 8) and (9, 24)

m = (y - y1) / (x - x1)

m = 8 - 24 / 3 - 9

m = -16 / -6

m = 16/6

Use the Point slope version to find the y intercept version:

(y - y1) = m(x - x1)

y - 8 = 16/6(x - 3)

y - 8 = 16/6x - 16/6 * 3

y - 8 = 16/6x - 48/6

y - 8 = 16/6x - 8

y = 16/6x - 8 + 8

y = 16/6x - 0

y = 16/6x

Proof:

f(3) = 16/6 * 3 = 48/6 = 8

f(9) = 16/6 * 9 = 144/6 = 24

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: