Find the value of k given that both points lie on a line passing through the origin. (k,−24) and (5,40)

PLEASE HELP ASAP if you do thank u and have a blessed day

Step-by-step explanation:

Since the line passes through the origin, it must be a proportional/direct variation equation.

Direct variation equations have the form:

Where a is the constant of proportionality.

Let’s solve for a. We know that when x=5, y=40. So:

Divide both sides by 5:

Therefore, our equation is:

We want to find the value of k such that y=-24. So, subsitute -24 for y and k for x:

Divide both sides by 8:

Hence, the value of k is -3.

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: