A line passes through the point (2,-2) and is parallel to the line y = 3x + 4. What is its equation?
3 points
y = 3x - 8
8x + 3y = 23
5x + y = 23
y = 8x - 3
Other:

y = 3x - 8

Step-by-step explanation:

Parallel lines have the same slope, while perpendicular lines have negative reciprocal slopes

In order to find a line parallel to y = 3x + 4, we will need to use the same slope, 3.

We can use the point-slope formula y - y₁ = m(x - x₁) where we have our (x₁, y₁) point (2, -2)

Now we just need to plug in our values to solve for the equation of a line

Distributing the negative to the -2 and the 3 to the (x - 2) we get:

Now subtracting 2 from both sides we get

Now since this equation is in the form y = mx + b, nothing further needs to be done and this is the parallel line to the line y = 3x + 4

on friday there were 15 birds

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: