Line p passes through A(-2, -4) and has a slope of 1/2. What is the standard form of the equation for line p?

Answers

Answer 1

Answer:

The standard form of the equation of the line is [tex]-x +2\cdot y = -10[/tex].

Explanation:

From Analytical Geometry, we find that the standard form of the equation of the line is:

[tex]A\cdot x + B\cdot y = C[/tex] (1)

Where:

[tex]x[/tex] - Independent variable.

[tex]y[/tex] - Dependent variable.

Besides, a line can be defined by the following formula:

[tex]y = m\cdot x + b[/tex] (2)

Where:

[tex]m[/tex] - Slope.

[tex]b[/tex] - Intercept.

By direct comparison, we find the following relationships:

[tex]B\cdot y = -A\cdot x + C[/tex]

[tex]y = -\frac{A}{B} \cdot x + \frac{C}{B}[/tex]

[tex]m = - \frac{A}{B}[/tex] (3)

[tex]b = \frac{C}{B}[/tex] (4)

If we know that [tex](x,y) = (-2,-4)[/tex] and [tex]m = \frac{1}{2}[/tex], then the intercept of the equation is:

[tex]b = y-m\cdot x[/tex]

[tex]b = -4+\left(\frac{1}{2} \right)\cdot (-2)[/tex]

[tex]b = -5[/tex]

If [tex]B = 2[/tex], then [tex]A = -1[/tex] and [tex]C = -10[/tex], and the standard form of the equation is:

[tex]-x +2\cdot y = -10[/tex] (5)


Related Questions

What led to violence in Kansas in 1855?

1. the repeal of the Compromise of 1850


2. the verdict in the Dred Scott Case

3. the rivalry between proslavery and antislavery settlers


4. the election of Abraham Lincoln as president

Answers

Explanation:

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Bleeding Kansas, Bloody Kansas, or the Border War was a series of violent civil confrontations in Kansas Territory, and to a lesser extent in western Missouri, between 1854 and 1859. It emerged from a political and ideological debate over the legality of slavery in the proposed state of Kansas.

What was the difference in the wealthy
and the poor during the Qin Dynasty?

Answers

Answer:

Peasants commonly wore clothes made of hemp, wool, and ferret skins and many fell into debt and were forced to work as farming tenants for wealthy landlords. Each successive rank gave its holder greater pensions and legal privileges. Do u people like it... this was my ss h/w question, i'm in class 603 :) :) :) :) <3 <3

~The classes only divided people into social rank. They did not indicate wealth or power. For instance, even though peasants made up the second highest class, they were poor. Many merchants, on the other hand, were wealthy and powerful despite being in the lowest class

Explanation:

What characteristics make those genres Similar in terms of Elements?

Answers

Answer:

The characteristics that make these genres similar in terms of structure are the structure of the movie: the premise, the plot of the movie/ the action, the location, and the characters of the story.

The characteristics that make these genres similar in terms of structure are the structure of the movie: the premise, the plot of the movie/ the action, the location, and the characters of the story

Which of the documents do you think least influenced the US Constitution? Why?

Answers

Answer:

all of them

Explanation:

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How did the allegiances impact the Cold War?

Answers

Answer:

The cold war world was shaped and divided by political and military alliances. The best known of these alliances were NATO and the warshaw pact formed in europe.

Explanation:

hope that helps :)

Which of the following did Joseph Stalin use to create support for his policies among the Soviet people? A. military rule B. voting rights C. adult literacy D. propaganda

Answers

The correct answer is D. Propaganda.

Explanation

During the mandate of the Soviet Union, propaganda was a tool of massive persuasion of the Marxist-Leninist ideology. For example, during the government of Joseph Stalin, posters were used to positively promote his works and policies and to convince the population that he was the best ruler. However, it was a way of hiding his bad deeds like compulsory labor camps. Therefore, the correct answer is D. Propaganda.

Answer:

The correct answer is D. Propaganda.

Explanation:

Took test!

Does the United States have the right to intervene in the affairs of other nations

Answers

Answer:

The United Nations Charter and the Charter of the Organization of American States forbid only intervention by states. ... No State or group of States has the right to intervene, directly or in- directly, for any reason whatever, in the internal or external affairs of any other State.

Answer:

YEs

Explanation:

G
The Declaration of Independence argues that when a government abuses its power, the people should:
Оооо
negotiate with the government peacefully.
still obey the government.
create a new government.
write a letter to the government.

Answers

Answer:

create a new government

True or false? Islam is an Abrahamic tradition, as are Judaism and Christianity.
Group of answer choices

True

False

Answers

Answer:true

Explanation:

Answer:

True this was the right answer

Explanation:

plz mark me brain list

C
When the people of France beheaded King Louis XVI in 1792, this sparked a
terrible time during the French Revolution know as the Reign of Terror - it also
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United States should do Thomas Jefferson argued that we should go to war with
the French while Hamilton urged remaining neutral . Ultimately, President
George Washington decided to release a Statement of Neutrality keeping the
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Answers

Answer:

The United States should be mostly isolationist, and in some cases and with a few exceptions, interventionist.

Explanation:

The United States should be isolationist most of the time for several reasons. One reason is that military intervention in foreign countries is costly for the United States, and it is also costly for the countries that are intervened. Often, American intervention does not improve, or even worsens the social and political situation in those places.

Another reason is that the United States does not necessarily have the legitimacy or right to intervene in most domestic affairs of other countries.

However, as the most important superpower in the world, and the country with the largest and more powerful military by far, the U.S. should intervene in those cases where a humanitarian crisis is unfolding, for example, when a population is threatened with genocide. In these cases one can argue that the U.S. has a moral obligation to intervene, but only insofar as the goal is to prevent an humanitarian crisis from happening.

The Book of the Dead is a well-known piece of ancient Egyptian literature that *

1 explains the succession (order) of pharaohs who ruled
2 is a list of important citizens and official who died
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4 tell the story of an Egyptian scribe who killed a pharaoh

Answers

Answer: is a guide to the afterlife for the souls of the dead

Explanation:

The Book of the Dead, is typically an ancient Egyptian collection which consist of spells that can be seen in mortuary and is believed to protect the dead in the hereafter.

The Book of the Dead simply helped Egyptians prepare for the afterlife where they'll be judged by Osiris, who is considered a to be the god of the underworld.

Therefore, the correct option is C(3).

Which of the following is the equation for a circle with center (5, -1) and radius of 4?
a. (x + 5)2 + (y - 1)2 = 16
b. (x + 5)2 + (y - 1)2 = 4
c. (x - 5)2 = (y + 1)2 = 4
d. (x - 5)2 + (y + 1)2 = 16

Answers

Answer:

the equation for a circle with center (5, -1) and radius of 4 is;

(x-5)²+(y+1)²=16

so its d.

Answer:

The above answer is correct

hope it is helpful to you ☺️☺️

PLEASE HELP ME WITH MY SAQ I WILL GIVE YOU 40 POINTS AND MARK YOU BRAINLIEST BUT ONLY IF YOU ANSWER THE QUESTION CORRECTLY

In your response, be sure to address all parts of the question. Use complete sentences; an outline or bulleted list alone is not acceptable.


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a) Identify ONE way in which the development of new technologies in the twentieth century changed the global economy.

b) Explain ONE similarity in how the development of new medical innovations and agricultural technologies in the twentieth century affected the environment.

c) Explain ONE major change in global culture in the late twentieth century.

I WILL REPORT YOU IF YOU DONT ACTUALLY ANSWER THE QUESTIONS

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Answer:

global crisis reveals the exhaustion of the technological source in many ways the emerging discrepancy between technological development on that way establishing a new model of interregional and subsequently The twentieth century economic story is, the most probably, about the post

Explanation:

True or false, the New Deal ended the Great Depression in the United States prior to US involvement in World War II.

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Answer:

The answer is true

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Answers

Answer: Joseph, Daniel and Nehemiah managed their time well and achieved great results

Explanation:

The following are Bible characters who managed their time well and how they managed it;

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2) Daniel; Daniel was one principled man in the Bible. It was recorded that he prayed thrice a day, this implies that he had a schedule which would also mean that he understood what time management meant. He served in the cabinet of the king and his wisdom was second to none based on the decisions he took.

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Answers

Answer:

One issue was Gun Violence in America, he wants to ban Ghost Guns, and wants background checks for anyone that purchases a gun, he also talked about making policing better in America.

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Answers

Answer:

A

Explanation:

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Answer:

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Answers

Answer:

a

Explanation:

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Answers

Answer:

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Answers

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Answer:

Explanation:

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M
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Answers

Answer:

is there a file you can share or a photo to make it easier

Explanation:

Which of the following BEST describes the difference in the treatment of disempowered groups in the Spanish New World and the Ottoman Empire?Elimination ToolSelect one answerAReligious conversion was strongly supported by the Ottoman government.BDebates occurred within the ruling classes of Spain over the treatment of indigenous groups.CEthnic minorities were occasionally introduced into the administration of the Spanish colonies.DReligious and ethnic minorities were allowed to engage in self-government in the Ottoman Empire.

Answers

Answer:

D. Religious and ethnic minorities were allowed to engage in self-government in the Ottoman Empire.

Explanation:

The difference in the treatment of disempowered groups in the Spanish New World and the Ottoman Empire is that "Religious and ethnic minorities were allowed to engage in self-government in the Ottoman Empire."

Though, such freedom was based on some strict regulations and rules such as taxes to the main government of the Ottoman empire. This is known as Jizya Tax.

In the late 1980s and early 1990s many communist countries, such as Yugoslavia, Poland, Romania, and East Germany were suffering from weak economies. How might countries with free-market economic systems have influenced the revolutions that swept Europe in the late 1980s and early 1990s?

Answers

Answer:

Countries with free-market economic systems influenced the revolutions that swept Europe in the late 1980s and early 1990s acting as "mirrors" or "models" upon which the revolutionary nations looked at themselves, seeking to compare their economies and quality of life. In other words, the free nations were the models that the citizens of the nations in revolution had: these revolutionaries sought to emulate the economic growth and political and social stability of these nations.

When the president appoints a Supreme Court Judge, which role of the President is he fulfilling?

head of state

chief executive

chief diplomat

chief legislator

Answers

Answer:

In relation to the Supreme Court (the judicial branch) one of these instituted "checks" is that the executive branch, the President, appoints the Supreme Court Justices, who are in turn confirmed, or rejected, by the Senate (the legislative branch).

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The President is performing the role of chief legislator whenever he appoints a Supreme Court Judge.

What is the president's role as chief legislator?

The power gives the President some legislative power to oversee the nation's law-making process.

Hence, the appointment of a Supreme Court Judge indicates the President's role as a chief legislator.

Therefore, the Option D is correct.

Read more about chief legislator

brainly.com/question/504830

#SPJ2

True or False. The church supported the Enlightenment.
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False

True
acually anwser or i'll report you

Answers

Answer:

True

Explanation:

As a result of an agreement signed by Great Britain and Ireland in 1998, Northern Ireland

Answers

Answer:

C) gained the right to choose its own future.

Explanation:

It said it was right on the review and I got it right

How did the National Organization for Women (NOW) promote women’s interests in the 1960s?

A. They pushed for the passage of the Civil Rights Act.
B. They lobbied Congress for the passage of the Equal Pay Act.
C. They pushed for the appointment of the first female Secretary of State.
D. They lobbied Congress for the passage of the Equal Rights Amendment.

Answers

Answer:

D. They lobbied Congress for the passage of the Equal Rights Amendment.

Explanation:

ERA lost by 1 vote i think

NOW used to host the presidential debates

They lobbied Congress for the assignment of the Equal Rights Amendment. The correct option is 'D'.

What is National Organization For Women?

The National Organization For Women (NOW) is a 2nd wave feminist organization created in the 1960s to sustain social liberal policies in the representation of women.

Though the organization was formed to compel women’s legal and economic equivalency, the dimensions of the organization’s agenda have widened enormously to encompass.

All elements of the left-of-center platform including tax and disburse deficit spending to develop social agendas, government-funded unfettered abortions, handouts, government-controlled single-payer healthcare, and an unceasing litany of LGBT claim problems.

Therefore, The correct Option is 'D'.

Find more information about National Organization For Women here:

https://brainly.com/question/25336902

sch00l is ruining my mental health

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same lol but it’s ok

How was the formation of the United Nations a response to World War 2

Answers

Answer:

The United Nations was created at the end of World War II as an international peacekeeping organization and a forum for resolving conflicts between nations. The UN replaced the ineffective League of Nations, which had failed to prevent the outbreak of the Second World War.

Explanation:

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