Write the equation of the line that goes through the point (−9, −4) and is parallel to the line −x + 3y = −0.5

Answers

Answer 1

Answer:

[tex]y = \frac{1}{3}x -1[/tex]

Explanation:

Given

Parallel to: [tex]-x + 3y = -0.5[/tex]

Passes through (-9,-4)

Required

Determine the line equation

First, we calculate the slope (m) of the said line

[tex]-x + 3y = -0.5[/tex]

Make y the subject

[tex]3y = x - 0.5[/tex]

Divide through by 3

[tex]y = \frac{1}{3}x - \frac{0.5}{3}[/tex]

An equation has the general form:

[tex]y = mx + b[/tex]

Where

[tex]m = slope[/tex]

So:

[tex]m = \frac{1}{3}[/tex]

Because the required line is parallel to [tex]-x + 3y = -0.5[/tex], then they have the same slope of [tex]m = \frac{1}{3}[/tex]

Next, is to calculate the line equation using:

[tex]y = m(x - x_1) + y_1[/tex]

Where

[tex]m = \frac{1}{3}[/tex]

[tex](x_1,y_1) = (-9,-4)[/tex]

This gives:

[tex]y = \frac{1}{3}(x -(-9)) + (-4)[/tex]

[tex]y = \frac{1}{3}(x +9) -4[/tex]

Open bracket

[tex]y = \frac{1}{3}x +3 -4[/tex]

[tex]y = \frac{1}{3}x -1[/tex]


Related Questions

Does your area have a lot of biodiversity

Answers

Answer:

Yes

Northern California had a lot of biodiversity.

As one of 17 mega-biodiversity countries in the world, China harbors nearly 10% of all plant species and 14% of animals on earth. Biodiversity not only helps maintain the productivity of ecosystem, but also supports food security, helps humans adapt to the climate change, and provides important resources for medicine.

So yes

who was surpatp shah​

Answers

Answer:

Pratap Singh Shah, King of Nepal was the second King of Nepal. He was the eldest son of Prithvi Narayan Shah, the king who started the unification of the Nepal.

Explanation:

Padshah Sultan Shuja Shah Abdali Durrani (also known as Shah Shuja, Shoja Shah) (4 November 1785 – 5 April 1842) was ruler of the Durrani Empire from 1803 to 1809. He then ruled from 1839 until his death in 1842. Son of Timur Shah Durrani, Shuja Shah was of the Sadduzai line of the Abdali group of Ethnic Pashtuns.

Which of the following are affected by environmental factors?


1) Housing
2) Folk tales
3) Traditional religions
4) Cuisine


A.
items 1 and 2
B.
items 1 and 3
C.
items 1, 2, and 3
D.
items 1, 2, 3, and 4

Please select the best answer from the choices provided.

A
B
c
d

Answers

I would say d; not entirely sure

Answer:

d

Explanation:

To what extent is climate change a natural process?

Answers

Well climate change would have happened naturally over time by regular carbon emissions by animals and other carbon producing life forms but we sped the process up with factory and cars and other modern inventions

Will give brainliest

Answers

Sudan, i think :’) have a good day
In Kenya, (I’m pretty it’s kenya because I remember reading this

2. Social forces that serve to weaken a nation are called centrifugal forces.
A)patriotism
B) religious intolerance
C) high rates of unemployment
D) strong regional identities

Answers

Answer:

B) religious intolerance

Explanation:

Discuss five importance of the study of geomorphology.

Answers

Answer:

Geomorphology is the study of landforms, their processes, form and sediments at the surface of the Earth (and sometimes on other planets). Study includes looking at landscapes to work out how the earth surface processes, such as air, water and ice, can mould the landscape.

Explanation:

I hope you understand

if the local time at a place x is 12 noon when the Greenwich meridian time is 5.00 am on what longitude is x located​

Answers

Well, Bangkok, Thailand fits the bill. So I think 100° longitude

Regional urban centers face these challenges.

Answers

Answer:

Some of the major challenges that face the region's cities are: Inequality • Low productivity • Employment informality • Low tax collection • Insufficient investment in infrastructure • Territory and regional integration • Social insecurity, crime and violence • Environment, climate change and resilience.

What is the purpose of studying such events going on in Gulf of Mexico and the dead zones?


the subject is ( Earth Science)

Answers

answer: kaklangan natin mag aral para sa kinabukasan ng ating sarili

Roles the troposphere plays in the maintenance of life on Earth​

Answers

Answer:

The troposphere provides oxygen that we can breathe, keeps Earth at a livable temperature, and allows for weather to occur, making it a very important part of the atmosphere.

Hope this helps, pls mark me brainliest thx

If you add up 5 consecutive odd integers that are each greater than 15, what is the smallest possible sum?

Answers

know this is a new video so you can be notified and it's a bit hard to find the impulse to buy voting and it's a bit hard to find the impulse to buy voting and it's a bit hard to find the impulse

The smallest consecutive odd integers greater than 15 are 17, 19, 21, 23, and 25. These add up to 105.

Ian left a cup of hot chocolate in a cool room his mother tells him that he’s hot chocolate will get cold if he forgets to drink it how cold can it get

Answers

Answer:

Temperature of the room.

Explanation:

Heat seeks equalibrium.

Will give brainliest Which region of Africa has the strongest economies?Required to answer. Single choice.
(2 Points)
A Southern
B North
C West
D East

Answers

Answer:

West Africa

Explanation:

I think this is right because of west Africa's agricultural advancement.

Answer:

the answer is West glad I could be of service

1. List the variable gases with short description:

2. What is meant by the “ hole” in the ozone layer? Where is it location? What role have chlorofluorocarbons (CFCs) played in this?

Answers

Answer:

Ans:1 The air in our atmosphere has some variable components to it as well. These variable components include water vapor, dust particles, and ozone. Although these are found in small amounts, they can have significant effects on weather and climate. Water Vapor. The amount of water is the atmosphere varies between 1 and 4%..

Ans:2 An ozone hole is really not a hole but rather a thinning of the ozone layer in the stratosphere that changes seasonally. ... Once in the atmosphere, CFCs drift slowly upward to the stratosphere, where they are broken up by ultraviolet radiation, releasing chlorine atoms, which are able to destroy ozone molecules.The 'ozone holes' most commonly talked about are the depletions over Antarctica, forming each year in the months of September, October and November, due to a set of special meteorological and chemical conditions that arise at the South Pole, and can reach sizes of around 20 to 25 million sq km..

HOPE THIS HELPS OUT:)



Please help

What is one way in which government reduces the cost of monopolies to consumers?
by preventing economies of scale
by rewarding grants of privilege
by reducing collusion between firms

Answers

By preventing economies of scale

Describe what a hotspot is.

Answers

A place ago great heat and warmth say it’s freezing so you go to a hot spot and it’s warm there

Question 3 (1 point
Draw line segment AB on the coordinate plane. Find the
length of line segment AB to the nearest tenth.
А
B

Answers

Answer:

AB = 5.8 units

Explanation:

The distance of line segment AB shown in the attachment below can be calculated using the distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex], assuming that each box in the graph equals 1 unit.

A(2, 4)

B(-3, 1)

Let,

[tex] A(2, 4) = (x_1, y_1) [/tex]

[tex] B(-3, 1) = (x_2, y_2) [/tex]

Plug in the values into the distance formula

[tex] d = \sqrt{(-3 - 2)^2 + (1 - 4)^2} [/tex]

[tex] d = \sqrt{(-5)^2 + (-3)^2} [/tex]

[tex] d = \sqrt{25 + 9} [/tex]

[tex] d = \sqrt{34} [/tex]

[tex] d = 5.8 [/tex] (nearest tenth)

AB = 5.8 units

Explain why Gina’s rationale in buying organic produce is invalid in the scenario below. Situation: Gina is concerned about the quality of food her family eats, so she only buys organic produce.

Answers

Answer:

The rationale is wrong because not all organic food is healthy, or better, because not all quality food is organic.

Explanation:

There is a lot of non-organic food that is both healthy and high quality, and that is often cheaper than their organic equivalents or substitutes. Genetically modified food is in fact, shown to be safe study after study, and enjoys the support of the scientific community.

For this reason, Gina should also consider non-organic alternatives for high quality food.

Will give brainliest

Answers

Answer:

I think its C

Explanation:

I'm not entirely sure but I think its C because he arranged many peaceful protests that gained him great renowned.

Answer:

I don't actually know the answer to this but I did some research and it does say that Nelson Mandela was the first Black South African to be freed from prison . I also found out that he did organize protest but, I don't know when he did or if they were peaceful.

Explanation:

I know I did not exactly answer this question but, I hope this helps!

pls mark me brainliest

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