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

African American Studies programs in U.S. universities Select the best answer from the cholces provided.

Ο Α. are exclusively at historically black colleges and universities
O B. were established by the 1964 Civil Rights Act
O C. often started after student protests on campuses in the 1960s and 1970s
OD had no African American professors until the 1950s Reset Next​

Answers

Answer: had no African American professors until the 1950s Reset Next​

Answer:

HSIs are accredited, post-secondary, higher educational institutions with at least 25% total full-time enrollment of Hispanic undergraduate students. HSIs included four-year and two-year, public and private educational institutions. HSIs enroll 40% of all Hispanic-American students of higher education. There are 274 institutions of higher education defined as HSIs using the criteria defined by the White House Initiative and the Department of Education. Visit the Department of Education's White House Initiative on Educational Excellence for Hispanics page to learn more.

Executive Order 13555 – White House Initiative On Educational Excellence For Hispanics

Memorandum of Understanding Between the Department of the Interior and The Hispanic Association of Colleges and Universities (HACU)

Explanation:

Which statement describes an effect of the Arab-Israeli War of 1948?
• A. Egypt invaded Israel and reclaimed land once belonging to
Palestine.
• B. Many Palestinians became refugees living in camps in Syria and
Lebanon.
b
O C. Palestine took control of the Suez Canal from Great Britain and
France.
• D. The Arab League recognized Israel as a sovereign nation.

Answers

Answer:

B Many Palestinians became refugees living in camps in Syria and Lebanon.

Chapter 13 lesson 3
President Polk wanted to buy these two territories from Mexico but they refused.
Utah and New Mexico
Mexico and Canada
O New Mexico and Texas
California and New Mexico

Answers

California and New Mexico

Which events of the 1970s contributed to widespread mistrust of the U.S. government by American citizens?

Answers

Answer:

In addition to these long-term structural changes to the American economy and our demographics, the 1970s saw two oil shocks that sent the economy into a tailspin. In 1973, in response to western support of Israel, middle-eastern Arab states suspended oil exports to the U.S., which led to the price of oil quadrupling.

Explanation:

The 1970s witnessed two oil shocks that plunged the economy into a tailspin in addition to these long-term structural changes to the American economy and our demography. Middle Eastern Arab governments ceased their oil supplies to the United Governments in 1973 in retaliation for the West's backing of Israel, which caused the price of oil to double.

What happened in the 1970s in American history?

The conclusion of the Vietnam War coincided with the resignation of President Richard Nixon due to the Watergate scandal, the end of American direct engagement in the conflict, and President Jimmy Carter's struggles with the oil crisis, inflation, and the Iran Hostage Crisis. In several respects, the 1970s carried over from the 1960s.

Numerous Americans joined the protest against the ongoing war in Vietnam, and women, gays and lesbians, African Americans, Native Americans, and other marginalized groups persisted in their fight for equality. However, the decade was a rejection of the 1960s in other ways. By the end of the decade, these conflicts and setbacks had created a climate in public life that many would contend persists to this day.

Learn more about widespread mistrust of the U.S here:

https://brainly.com/question/21478996

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This graph shows the cost of health care per every American citizen each year. Which statement does this graph support?

Answers

Answer:

A) Healthcare costs are on the rise.

Explanation:

the graph is rising

What led to a population boom during the High Middle Ages? lack of wars immigration from North America improvements in the barter system development of new farming tools and methods

Answers

Answer:inprovements in the barter system

Explanation:

i rly have been struggling with this

Answers

Answer:

ok download photo math that can help u

i hope it will help u beacuse it helped me alot :)

Looking back at this event, how did the Little Rock Nine change the way Americans viewed segregation?

Answers

Answer:

Little Rock Nine changed the way Americans viewed segregation because they saw how race should not be a factor in seeing who is violent.

Explanation:

what was the impact of the cuban missle crisis on the cold war

Answers

Answer:In October 1962, the Soviet provision of ballistic missiles to Cuba led to the most dangerous Cold War confrontation between the United States and the Soviet Union and brought the world to the brink of nuclear war

Describe the responsibilities of the US House of Representatives and the US Senate as stated in the US Constitution

Answers

Ans: Under the Constitution, the House of Representatives has the power to impeach a government official, in effect serving as prosecutor. The Senate has the sole power to conduct impeachment trials, essentially serving as jury and judge. Since 1789 the Senate has tried 20 federal officials, including three presidents.

How does Beowulf plan to finish the fight with grendels mother?

Answers

Answer:

Beowulf is the prince of the Geats, who comes to the aid of King Hrothgar of the Danes as his kingdom is besieged by a monster called Grendel.

Beowulf defeats Grendel, but Grendel's mother comes for revenge and Beowulf goes underwater to fight, and kill her. However, he discovers that his weapons are useless against her, and finally kills her with a large sword made by giants on the wall.

Which of the following did the North's General William T. Sherman accomplish in 1864?
A.
He conquered Richmond.
B.
He faced Lee's Army of Northern Virginia in order to defend Washington from Southern invasion.
C.
He conquered Atlanta and then marched through Georgia to Savannah.
D.
He killed General Joseph Johnston in battle.

Answers

The correct answer is C. He conquered Atlanta and then marched through Georgia to Savannah.

Explanation

William T. Sherman (1820-1891) was a prominent American serviceman during the American Civil War (1861-1865). The most outstanding actions of him during this war were the direction of almost 70,000 soldiers with which he caused great devastation in the States of the Confederacy with which he managed to conquer Atlanta and continued his way through the state of Georgia. In late 1864 he took control of the port of Savannah. Therefore, the correct answer is C. He conquered Atlanta and then marched through Georgia to Savannah.

Why did many branches of Protestantism Develop?

Answers

Answer:Protestantism began in Germany in 1517, when Martin Luther published his Ninety-five Theses as a reaction against abuses in the sale of indulgences by the Catholic Church, which purported to offer the remission of the temporal punishment of sins to their purchasers.

Explanation:

Which state only allowed Presidential Suffrage

Answers

Answer:

QUESTION:

Which state only allowed Presidential Suffrage?

ANSWER:

Wyoming.

Wyoming. On December 10, 1869, Territorial Governor John Allen Campbell signed an act of the Wyoming Territorial Legislature granting white women the right to vote, the first U.S. state or territory to grant suffrage to women.

Explanation:

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Economy of the south

Answers

Answer:

What do you need help on. I will try my best to see if I'm able to answer your question or not.

what were two things that the colonist tried to do before they sent the king their list of grievances(complaints)?

Answers

The American colonists tried to let King George III know about their grievances in several different ways before sending the Declaration of Independence to him.

1) Boston Tea Party- This event that happened in December 1773 was a result of the Tea Act. This act put a tax on British tea, which was a popular drink for the American colonists. To show their dissatisfaction with this law, American colonists boarded British ships and destroyed the tea. This showed King George III that the colonists were unhappy with his new law.

2) Olive Branch Petition- This letter sent by members of the Second Continental Congress discussed how the colonists were still loyal to the British as of July 1775. However, if King George III did not change his policies, the colonists threatened action.

How did Prussia tip the balance of power in Europe?

Answers

Answer:

When Italy unified into one nation from a dozen weaker principalities, and Germany emerged as a very powerful political and military force

how do you think the events of world war 1 and its aftermath in Germany helped make Hitler's appeal to nationalism attractive to many grams?

Answers

In the aftermath of World War I, Germans struggled to understand their country’s uncertain future. Citizens faced poor economic conditions, skyrocketing unemployment, political instability, and profound social change. While downplaying more extreme goals, Adolf Hitler and the Nazi Party offered simple solutions to Germany’s problems, exploiting people’s fears, frustrations, and hopes to win broad support.

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Which phrase best completes the diagram?
The Roman Empire's
Achievements
Preserved Greek
culture
Designed aqueducts
to move water
?
A. Wrote the first comedic plays
B. Created the idea of polytheism
C. Ended the system of slavery
O D. Built thousands of miles of roads

Answers

Answer:

D. Built thousands of miles of roads.

Explanation:

They were not the first to write comedic plays, nor did they invent polytheism that came from the preservation of greek culture, Romans also often used foreign slaves/indentured servants. However Romans built many roads so much so that there is a saying "All roads lead to Rome".

what surface does a rolling ball traveled faster and longer
A.rough road
B.rocky road
C.smooth road
D.grassy road​

Answers

smooth road bc the others might enforce some type of friction on the ball cause it to go slower

Rough Road

is it right

What two main political parties dominate the political system in the United States?
the Constitution Party
the Republican Party
the Libertarian Party
the Democratic Party
the Independent Party

Answers

Answer:

Democratic Party and Republican Party

The headline below describes an event that took place in 1955.What is the primary purpose of this event?

To create a military alliance

Remove regional trade barriers

Encourage a democratic election

Preserve a regional cultural identities

Answers

Answer:

To create a military alliance.

Explanation:

The primary purpose of happening of this event in 1955 to create a military alliance against common enemy. The Warsaw Treaty Organization was a political and military alliance established between the Soviet Union and several Eastern European countries on May 14, 1955. The Warsaw Pact was established as a balance of power to NATO organization that was created by United states and other European countries.

Is there enough support for the tariff of 1828 to pass the House? How do you know?

(Tariff of 1828) pls help

Answers

Answer:

no there is not enough to pass

Which bones make your gesture posture straight

Answers

Answer:

spinal cord

Explanation:

Why did fifteenth-century Europeans search for a sea route to Asia?

Choose all answers that are correct.


Europeans wanted to learn and adopt some of the traditional Asian customs and beliefs.


Demand for Asian goods, such as spices, silk, and precious gems, had grown considerably.


Traveling overland from Europe to Asia was extremely difficult and hazardous.


Europeans were eager to sell food products and minerals in Asia.

Answers

Answer:

demand for asian goods, such as spices, silk, and precious gems, had grown considerably

The legislative branch enforces the law to make sure people follow them? True or False

Answers

Answer:

false

Explanation:

they make the laws, judicial branch enforces

What would the future be like if people were never trained to behave according to their natural instincts?

Answers

Answer: These are for:

Fighting.

Nutrition and eating and drinking.

Parenting.

Sexual behavior.

Sleep.

Territorality.

Explanation:

Answer:

It's hard to say because Natural instincts are natural andd it's hard to train against things that are naturally a part of someone. Then again, let's just say that the future would be very very different. Explanation:

Hey, I know it is late but can someone please write 2 or 3 paragraphs about the holocaust and laws created to prevent things like that happening again. Also how these things impact our choices today.
I really need it for my essay.
Thank you :))

Answers

The correct answer to this open question is the following.

The Holocaust was the persecution and murder of 6 million Jews by the Nazi Party. Since 1933, when the Nazis became the party in power, they believed in race supremacy and wanted to create a supreme race in Germany, getting rid of Jewish people. Nazis believed that Germans were a "pure race" and Jewish were inferior people.

There is a term that can be applied here, Genocide. Genocide means the deliberate attempt to destroy an entire group of people, as was the case of the Holocaust.

Adolph Hitler and the Nazi Party believed that the Germans were a superior race and the Jews an inferior race that had to be eliminated. That is why Hitler ordered the Genocide of the Jewish people.

This terrible chapter of the history of the world has taught us to respect all people regardless of race, ethnicities, nationality, or gender.

People are people everywhere no matter what.

The United Nations Human Rights office has created a series of codes that invite governments of the world to protect human rights in their respective countries in order to avoid any kind of episodes like the Holocaust. The world does not need another atrocity like the Holocaust.

INFERRING This map from a land claim being presented to the U.S.
government has notations written in Spanish. What might you infer from this?

Answers

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Why are the words “We the People” written so much larger than the rest of the Constitution?

Answers

Answer: They wanted to make clear that the power of our national government comes from the people.

Explanation: hoped this helped :)

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