Write an equation in slope intercept format of the line that is a segment bisector of both AB and CD. A(-1,8) B(3,4) C(1,10) and D(7,8) find y. ​

Answers

Answer 1

Answer:

y = x + 5

Explanation:

The equation of a line in slope intercept form is y = mx + c, where m is the slope and y is the intercept

The midpoint or bisector (x, y) of a line with endpoints at ([tex]x_1,y_1[/tex]) and ([tex]x_2,y_2[/tex]) is given by:

[tex]x=\frac{x_1+x_2}{2}\\ \\y=\frac{y_1+y_2}{2}[/tex]

If AB is at A(-1,8) B(3,4), the coordinates of the midpoint of AB is:

[tex]x=\frac{x_1+x_2}{2}=\frac{-1+3}{2}=1 \\ \\y=\frac{y_1+y_2}{2}=\frac{8+4}{2} =6[/tex]

The midpoint of AB is (1, 6)

If CD  is at C(1,10) and D(7,8), the coordinates of the midpoint of CD is:

[tex]x=\frac{x_1+x_2}{2}=\frac{1+7}{2}=4 \\ \\y=\frac{y_1+y_2}{2}=\frac{10+8}{2} = 9[/tex]

The midpoint of CD is (4, 9)

The equation of the line passing through two points is given as:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\ \\The \ equation \ of\ the\ line \ passing\ through \ the\ midpoint\ of\ AB, i.e (1,6)\ \\and\ the\ mdpoint\ of\ CD\ i.e(4,9)\ is:\\\\y-6=\frac{9-6}{4-1}(x-1)\\ \\y-6=1(x-1)\\\\y=x-1+6\\\\y=x+5[/tex]


Related Questions

1. How can geospatial information (remote sensing, GPS GIS) help humans to understand phenomena

such as global warming or deforestation?

Answers

Answer:

They provide us with accurate data that is needed to make adjustment on earth's surface.

Explanation:

The use of techniques like the Global positioning system, Geographic information system, and remote sensing is a tool that provides us with geospatial information and help us understand the laws of nature.  These all act as sensors and provides us information directly from the space with coordination to sun-synchronous and geostationary satellites. The use of technology like the lidar and radar also helps in understanding the global warming and deforestation patterns around the world.

What are convetion currents?

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Answer:

Lighter, warm material rises while heavier  cool material sinks. It is this movement that creates circulation patterns known as convection currents in the atmosphere, in water, and in the mantle of Earth.

How do I calculate latitudinal and longitudinal coordinates?

Answers

Answer:

lat goes left to right and long goes up and down.

Explanation:

in what sea is 38 degrees south and 162 degrees east

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Answer:

Tasman sea although not sure

GIVING A LOT OF POINTS PLEASE ANSWER ASAP!!!!!! In which two hemispheres is the United States? What are the functions of the following? Longitude Latitude Equator Hemispheres Tropic of Cancer Tropic of Capricorn Prime Meridian Greenwich, England International Date Line Artic Circle Antarctic Circle PLEASE ANSWER ALL THANK YOU.

Answers

Answer:

North America is in the northern hemisphere

longitude - gives the East and West position of a point.

Latitude - give the north to south position of a point

Equator - it's a invisible line that goes around the earth, that has equal distance from the poles. It also divides the north and south hemispheres.

Hemisphere - the half of earths sphere, it's divided into four areas, north, south, east, and west. the invisible line crosses over all of them stretching to both poles.

Tropic of cancer - is the most northern latitude on earth, the sun can be seen overhead. it's 23.4 degrees north of the equator.

Tropic of Capricorn - is the most souther latitude on earth, you'll be able to see the sun directly over head. 23.4 degrees south of the equator.

Prime meridian - the invisible line that goes north to south at 0 degrees longitude. the prime meridian also separates the west and east hemisphere.

Greenwich - an area in London, England, that references the prime meridian line that passes through the town, the marked the area with a laser to imitate the line.

England international date line - an invisible line that goes from the north to south pole, i demonstrates the change of the calender day.

Arctic circle - the most southern latitude in the north hemisphere, the sun could be seen 24 hours a day.

Anarctic circle - is the most southern point of earth, parallel latitude and 66.5 degrees south of the equator

don't mind the spelling errors, I was typing fast.

91. Which is an important difference in outlook between people living in rural and urban communities? (16D)
a. People in rural communities more often follow traditional beliefs.
b. People in urban communities are more likely to work at home.
c. People in rural communities enjoy a greater variety of products.
d. People in urban communities are generally more religious.

Answers

Answer:

D

Explanation:

Identify the antecedent for the pronoun in the following sentence. Derek wanted to buy a nice present for his aunt.

Answers

Answer:

Explanation:

Buy present is antecedent

In the given sentence "Derek wanted to buy a nice present for his aunt" buy present is the antecedent for the pronoun.

What is an antecedent for the pronoun?

An antecedent refers to a noun or pronoun to which another noun or pronoun refers. It usually appears before the pronoun. The particular noun which comes later and referred by the pronoun is known as the antecedent of that pronoun.

Pronoun is a word or a group of words that are used in the place of a noun.  It is a word that is used to refer to someone or something when there is no need to use a noun because the person or thing has been mentioned earlier.

Basically, an antecedent is a word for pronoun that stands befor the pronoun. For example:- Rohan finished his homework, so here Rohan is antecedent and his is pronoun.

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PLZZ HELPPP Steno's law of Superposition explain_____. younger rocks are deposited on top of older rocks. thth the height of a mountain the space relationship between a mountain and sea level the ability to determine storms at sea

Answers

Search Results
Featured snippet from the web

a basic law of geochronology, stating that in any undisturbed sequence of rocks deposited in layers, the youngest layer is on top and the oldest on bottom, each layer being younger than the one beneath it and older than the one above it.

Answer:

B

Explanation:

the state of Texas is an example of what type of region?​

Answers

Answer:

Texas can be divided into seven regions, each with its own distinct geographical features and attractions. These regions are: Big Bend Country, Gulf Coast, Hill Country, Panhandle Plains, Piney Woods, Prairies and Lakes, and South Texas Plains.

Explanation:

Texas can be divided into seven regions, each with its own distinct geographical features and attractions. These regions are Big Bend Country, Gulf Coast, Hill Country, Panhandle Plains, Piney Woods, Prairies and Lakes, and South Texas Plains.

What is special about the state of Texas?

Texas is popularly known as The Lone Star State. The Alamo is located in San Antonio. It is where Texas defenders fell to Mexican General Santa Anna and the phrase Remember the Alamo originated. The Alamo is considered the cradle of Texas liberty and the state's most popular historic site.

What is Texas best for?

Texas is one of the most tax-friendly states in the country. In addition to Texas's low cost of living and affordable cities, the state doesn't require that residents pay taxes on their personal income.

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somebody pls answer in 5mins ill mark you brainliest pls

Answers

Answer:

Features made by wind

Explanation:

A. wind erosion

Abrasion

B. wind deposition

Dunes

Please mark me as Brainliest and follow me

Features made by wind erosion: serirs

4565000000 in scientific notation​

Answers

Answer:

4.57 x 10 9 (9th coefficient)

Explanation:

Answer:

4.565 × 10^9 i believe so

PLEASE ANSWER!!Why is the earth divided into 4 hemispheres?

Answers

There are differences in the climates of the Northern and Southern hemispheres because of the Earth's seasonal tilt toward and away from the sun. ... The prime meridian, or 0 degrees longitude, and the International Date Line, 180 degrees longitude, divide the Earth into Eastern and Western hemispheres.
There is differences between the hemispheres

Which type of region is Verizon's coverage area? Question 6 options: perceptual vernacular functional formal

Answers

Answer:

perceptual

Explanation:

hope THis Help :)

Answer:

the correct answer is functional!!

Explanation:

just took the geography quiz

Most of the land in southeastern Wisconsin is used for what?

Answers

Answer:

Farming and oil

Explanation:

Which geographer is considered the founder of modern geography?
A. Doreen Massey
B. Michael Frank Goodchild
C. Abū Rayhān al-Bīrūnī
D. Alexander von Humboldt

Answers

Answer:

The correct answer would be D, Alexander Von Humboldt

Explanation:

I hope this helps :)

When connecting past and present issues, it is best to follow a series of steps. Which step is missing from the pattern? 1. Identify common issues in the past and the present. 2. Research supporting evidence. 3. __________ 4. Make connections. 5. Draw conclusions. A. Prepare an analysis report. B. Establish cause and effect. C. Validate the outcomes of the two events. D. Compose a policy to improve future issues. Please select the best answer from the choices provided A B C D

Answers

Answer:

C

Explanation:

Answer :

B - Establish cause and effect.

Help me with this please

Answers

you can plug all that into desmos calculator and find your answer on there.

Predict what happens when regional boundaries are
contested, overlapping, and/or transitional.

Answers

Answer:

If the issue is not resolved using negotiations and dialogue, it may result in a cold war. The possibility of this escalating from a cold war to a full-blown war is very likely.

Explanation:

The solution is to promote and deploy the use of moral suasion based on international diplomacy and negotiations to resolve such an issue.

Cheers!

The volume of the water in the graduated cylinder rose as some of the water was displaced by the golf ball. Find the volume of the ball using the formula

Answers

Answer:40cm3

Explanation:

Answer:

40

Explanation:

edge 2020

what is the easiest way to memorize something

Answers

Answer:

It all depends on what type of person you are

Explanation:

I need to know a 2  things.

1.are you organized

2.It all depends on what the subject you are talking about.

What is the meaning of the phrase "natural law" as it is used in this selection from the section "Map
and globe orientation"?
However, map orientation is a choice, not a natural law, and it is
subject to political, economic, religious, and artistic desires.
(A)
determined set of treaties
(B)
fundamental principle
(C)
documented consensus
(D)
organic evolution of practice

Answers

fundamental principle is the answer to the question

A point whose latitude is 0 is on the
A North Pole
B equator
C South pole
D prime meridian

Answers

The (B) Equator is the line at latitude zero. Each parallel is one degree north or south of the equator, with the equator at 90 degrees north and south, respectively.

What is an equator?

The northern and southern hemispheres of a spheroid, such as Earth, are separated by a circle of latitude known as the equator.

It is a hypothetical line on Earth that is halfway between the North and South poles and is situated at 0 degrees latitude.

Its circumference is approximately 40,075 km (24,901 mi).

The phrase can also be used to refer to any other roughly spherical celestial body.

The line at latitude 0 is known as the Equator.

With 90 degrees north of the Equator and 90 degrees south of the Equator, each parallel is one degree north or south of the Equator.

The parallel (circle of latitude) at which latitude is defined to be 0° is known as the equator of a spinning spheroid (such as a planet) in spatial (3D) geometry, which is used in astronomy.

Therefore, the (B) Equator is the line at latitude zero. Each parallel is one degree north or south of the equator, with the equator at 90 degrees north and south, respectively.

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how do georgia's transportation systems work together to deliver goods not only georgians but all around the world

Answers

Railroads move goods similarly to trucks on the interstates and highways. Railroads help ship goods within the state taking products made in Georgia from country to county. From the state, transporting goods made in Georgia and other states to the airports and ports to be shippers to other countries.

Which best explains why floodplains encouraged settlement in the Fertile Crescent? The floodplains prevented seasonal droughts. The floodplains brought warmer temperatures. The floodplains exposed stone used for building. The floodplains provided fertile soil for growing crops.

Answers

Answer:

The floodplains provided fertile soil for growing crops.

Explanation:

In the fertile crescent, the most important floodplain is that of Mesopotamia, between the rivers Tigris and Euphrates.

This area of the world is not only where agriculture was first attested, but also the region where the first human civilization emerged: Sumer.

And the floodplain was crucial for this. The rivers flooded their banks with nutrients that were carried in sediments. These nutrients made the soil more fertile, allowing for easier and more productive agriculture, which produced the necessary food surpluses that are required for the development of early civilization.

Answer:

it is D, trust me it is D i took the

test and got it right.

Describe how leaching can limit the use of land as a resource, and explain how this problem can be overcome.

Answers

Answer:

High salt content in soil limits the ability of seeds to germinate, as well as plant growth and crop yields. Controlled leaching, typically through irrigation, removes or reduces to the total salt content in the soil, allowing for healthier crops.

Explanation:

Answer:

Leaching occurs when crops drain the soil of its nutrients, making it less fertile. Leaching can be overcome, however, by crop rotation. For instance, legume helps to restore nitrogen in the soil, which is essential for plant growth. Another way to prevent leaching is to plant cover crops during the off-season. Cover crops act as natural fertilizers because they are left to die and mulch on the surface, then they are tilled into the soil before the next crops are planted. This cover crop then provides the nutrients needed for the desired crop to grow and survive.

When are experiment shows that one variable makes another variable change and no other variables have any affect the experiment shows

Answers

Answer:Causation

Explanation:

Since I have gotten this answer wrong because of whoever answered this question is stupid

An experiment demonstrates a condition of causality / causation when it demonstrates that one variable causes another variable to change without being affected by any other variables.

What is causation?

The ability of one variable to impact another is known as causation also known as causality. The first variable might create the second or might change the incidence of the second variable.

One variable is dependent on another when one causes the other to change, which is what is meant by causation. Another name for it is cause and effect. One illustration is the increase in sunburns as the temperature rises. Sunburn was the result of the weather in this situation.

For instance of causality where a single event is brought about by a single identified antecedent, without the involvement of many causes or other processes.

Thus experiment shows that one variable makes another variable change and no other variables have any affect the experiment shows  is an example causation.

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what the missing numbers in the sequence -3,-2,__,__,1 ?

Answers

increases by 1 every time

Increased by one each time

Which of the following strait separate North America from Asia?
a) Bering Strait
b) Cabot Strait
c) Strait of Canso
d) Cebu Strait​

Answers

Answer:

a) Bering Strait

The "Bible Belt" is an example of what type of region?​

Answers

Answer:

is a perceptual region located primarily in the southern states of the United States.

Explanation:

Hopes this help :)

Answer: The Bible Belt is an example of this type of region vernacular region can i get the brainly i know this is right bc I did this one time :D

ASP
Examine the impact of widespread deforestation and clearcutting on environments. How can the effects of
deforestation be lessened?

Answers

Therefore, decreasing the conversion of agricultural land to forest means reducing deforestation.

How to reduce deforestation?

By doing these quick actions, you can support the fight against deforestation:

Where you can, plant a tree. Eliminate paper from your home and workplace.Purchase recycled goods, then recycle them once more.Invest on certified wood items. Check the labels for the FSC (Forest Stewardship Council) mark and read the information.Buy the goods from businesses that are dedicated to minimizing deforestation. Everything is business-related. They will be inspired to improve their methods if you don't buy.Inform everyone around you and in your neighborhood.Don't buy more than you'll need.Avoid using items that contain palm oil.

Each and every item made of wood can be recycled. Recycling should be done regularly.

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