What is the equation of the line that passes through the point (-8,3) and has a slope of -1/4

Answers

Answer 1
The slope is -1/4, which is -0.25x. We know that we are exactly 8 units to the left of the y axis, so we can use the slope to determine the change within the coordinates as the line moves across the graph. The slope has a rise of -1 and a run of 4, meaning every 4 units to the right will be 1 unit up. We must move 8 units to the right, which in turn moves the graph down 8 quarter units. 8 x (1/4) is 2, so we know that the graph has moved down 2 units. (Down because the graph has a negative slope). (-8,3)->(0,1). From this coordinate, we can see the y intercept is 1. Since y=mx+b, we can write y=-1/4x+1. This is your equation. (Sorry for the length, wanted to be thorough)
Answer 2

y=-1/4x+1 is the equation of the line that passes through the point (-8,3) and has a slope of -1/4

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

We have to find equation of  the line that passes through the point (-8,3) and has a slope of -1/4

m=-1/4

Let us find y intercept

3=-1/4(-8)+b

3=2+b

b=1

Hence, y=-1/4x+1 is the equation of the line that passes through the point (-8,3) and has a slope of -1/4

To learn more on slope of line click:

https://brainly.com/question/16180119

#SPJ2


Related Questions

The ratio of taxis to buses to bikes
is 12:5:18.
How many buses are there if there
are 72 bikes?

Answers

Answer:

20 buses

Step-by-step explanation:

Using the given ratio, we can see that for every 12 taxis, there are 5 buses and 18 bikes.

To get from 18 bikes to 72 bikes, we multiply by 4. Therefore, to figure out the number of buses, we multiply it by 4.

5 * 4 = 20

Hope this helps! :D

Why are there certain question where you multiply to a power and some you don't. Like tree diagrams. This is for probability of compound events.

Answers

Compound probabilities that required AND use multiplication

How to determine the reason?

The probability of compound events is of two types

The one that require ANDThe one that require OR

As a general rule, the AND probability require products

Take for instance

P(A and B) = P(A) and P(B)

This gives

P(A and B) = P(A) *  P(B)

So, compound probabilities that required AND use multiplication

Read more about compound probabilities at:

https://brainly.com/question/1553768

#SPJ1

Here's the question. ​

Answers

Answer:

The value of T₂₀ - T₁₅ is -20.

Step-by-step explanation:

Given :

>> If for an A.P, d = -4

To Find :

>> T₂₀ - T₁₅

Using Formula :

General term of an A.P.

[tex]\star{\small{\underline{\boxed{\sf{\red{ T_n = a + (n - 1)d}}}}}}[/tex]

>> Tₙ = nᵗʰ term>> a = first term>> n = no. of terms>> d = common difference

Solution :

Firstly finding the A.P of T₂₀ by substituting the values in the formula :

[tex]{\dashrightarrow{\pmb{\sf{ T_n = a + (n - 1)d}}}}[/tex]

[tex]{\dashrightarrow{\sf{ T_{20} = a + (20 - 1) d}}}[/tex]

[tex]{\dashrightarrow{\sf{ T_{20} = a + (19)d}}}[/tex]

[tex]{\dashrightarrow{\sf{ T_{20} = a + 19 \times d}}}[/tex]

[tex]{\dashrightarrow{\sf{ T_{20} = a + 19d}}}[/tex]

[tex]{\star \: {\underline{\boxed{\sf{\pink{ T_{20} = a + 19d}}}}}}[/tex]

Hence, the value of T₂₀ is a + 19d.

[tex] \rule{190}1[/tex]

Secondly, finding the A.P of T₁₅ by substituting the values in the formula :

[tex]{\dashrightarrow{\pmb{\sf{ T_n = a + (n - 1)d}}}}[/tex]

[tex]{\dashrightarrow{\sf{ T_{15}= a + (15 - 1) d}}}[/tex]

[tex]{\dashrightarrow{\sf{ T_{15}= a + (14) d}}}[/tex]

[tex]{\dashrightarrow{\sf{ T_{15}= a + 14 \times d}}}[/tex]

[tex]{\dashrightarrow{\sf{ T_{15}= a + 14d}}}[/tex]

[tex]{\star{\underline{\boxed{\sf \pink{ T_{15}= a + 14d}}}}}[/tex]

Hence, the value of T₁₅ is a + 14d

[tex] \rule{190}1[/tex]

Now, finding the difference between T₂₀ - T₁₅ :

[tex]{\dashrightarrow{\pmb{\sf{T_{20} - T_{15}}}}}[/tex]

[tex]{\dashrightarrow{\sf{(a + 19d) - (a + 14d)}}}[/tex]

[tex]{\dashrightarrow{\sf{a + 19d - a - 14d}}}[/tex]

[tex]{\dashrightarrow{\sf{a - a + 19d - 14d}}}[/tex]

[tex]{\dashrightarrow{\sf{0+ 19d - 14d}}}[/tex]

[tex]{\dashrightarrow{\sf{19d - 14d}}}[/tex]

[tex]{\dashrightarrow{\sf{5 \times - 4}}}[/tex]

[tex]{\dashrightarrow{\sf{ - 20}}}[/tex]

[tex]{\star \: \underline{\boxed{\sf{\pink{T_{20} - T_{15} = - 20}}}}}[/tex]

Hence, the value of T₂₀ - T₁₅ is -20.

[tex]\underline{\rule{220pt}{3.5pt}}[/tex]

solve pls brainliest

Answers

Answer:

a) 45 minutes

b) 2 miles

c) 8 miles per hour

d) 7.5 minutes per mile

Step-by-step explanation:

a) (150/20) x 6 = 45 minutes

b) (20/150)(15) = 2 miles

c) (20/150)(60) = 8 miles per hour

d) 150/20 = 7.5 minutes per mile

20 miles in 150 minutes = 20/150 miles per minute = 2/15 miles per minute

distance/speed = time

6 miles / (2/15) miles per minute = 45 -> 45 minutes

time*speed=distance

15 minutes * 2/15 miles per minute = 2 miles

Her speed, 2/15 is in miles per minute. To convert to miles per hour, you multiply by 60 (60 minutes in an hour). 2/15*60=8 miles per hour

minutes per mile = 150 minutes for 20 miles = 150/20=15/2 minutes per mile

15/2=7.5

7.5 minutes per mile

Roger ran eight laps around a ¼ mile track during PE on Monday.How many feet did Roger run in completing eight laps

Answers

Answer:

10560 feet

Step-by-step explanation:

you're welcome :)

Find the value of the expression:
x(x-y)-y(y^2-x) for x=4 and y=2

Answers

Replacing x by 4 and y by 2, it is found that the value of the expression is of 8.

The expression given is:

[tex]x(x - y) - y(y^2 - x)[/tex]

We want to evaluate it for x=4 and y=2, hence, we replace x by 4 and y by 2, then:

[tex]4(4 - 2) - 2(2^2 - 4) = 4(2) - 2(0) = 8[/tex]

The value of the expression is of 8.

A similar problem, in which the objective is finding the value of an expression, is given at https://brainly.com/question/19548262

hope you get it
{2x−y=4
y−x=4

Answers

Step-by-step explanation:

System of Linear Equations entered :

[1] 2x-y=4 [2] y-x=4

Equations Simplified or Rearranged :

  [1] 2x - y = 4   [2] -x + y = 4

Graphic Representation of the Equations :

y + 2x = 4 y - x = 4

Solve by Substitution :

// Solve equation [2] for the variable  y 

 

[2] y = x + 4

// Plug this in for variable  y  in equation [1]

  [1] 2x - (x +4) = 4   [1] x = 8

// Solve equation [1] for the variable  x 

  [1] x = 8 

// By now we know this much :

  x = 8   y = x+4

// Use the  x  value to solve for  y 

  y = (8)+4 = 12 

Solution :

 {x,y} = {8,12} 

What is the intersection of plane AEH and plane EGH?

Answers

Answer:

E

Step-by-step explanation:

Hope this helped

Please help!!! No LINKS
Solve the system of equations below by graphing both equations with a paper and pencil!!! What is the solution?!??! Use the photo below to answer the question!!

Answers

Answer:

B is the answer

Step-by-step explanation:

What’s 10^102????????€

Answers

Answer:

(2^102•5^102)

Step-by-step explanation:

(10)^102 = (2•5)^102 = 2^102 • 5^102

what is the answer to -g + 2 (3 + g ) = -4 (g+ 1 )

Answers

Answer:

0

Step-by-step explanation:

........

Answer:

g=-10

Step-by-step explanation:

-g+2(3+g) = -4

-g+6+2g=-4

g=-4-6

g=-10

is y=3x^2+2 a linear function

Answers

Answer: No!

Step-by-step explanation: This is a parabola. The graph for this function is not straight. We can also tell this is not a linear function because the degree of the function is 2.

Hope this helps :)

No.

y = 3x² + 2 has a degree of 2. So, it'll not make a graph which is a straight line. It's NOT a linear function. Linear functions have a degree of 1 or 0.

This is a quadratic polynomial (degree = 2) & when drawn on a graph, it'll make a parabola.

_____

Hope it helps ⚜

A group of 493 people is going on a boat tour. If each boat holds 7 people, how many people will be on the last boat?

Answers

Answer:

3 people.

Step-by-step explanation:

493÷7=70 with 3 remaining.

1 mi = 1.6 km

How many miles are in 39.2 kilometers?

Answers

Answer:

24.35775

Step-by-step explanation:

Ty for points xd

Answer:

24.35 miles

Step-by-step explanation:

just divide 39.2 by 1.6

can anyone answer this question please
6[y-2]/7-12=2[y-7]/3

Answers

Answer:

y =47.5.

Step-by-step explanation:

First eliminate the fractions by multiplying through by the LCM of 7 and 3 which is 21:

21* 6[y-2]/7-21*12 = 21*2[y-7]/3

18(y - 2) - 252 = 14(y - 7)

18y -36 - 252 = 14y - 98

18y - 14y = -98 + 36 + 252

4y = 190

y = 190/4

y = 47.5.

Ten movie tickets cost $80. How much does a single movie ticket cost?

Answers

Answer:

$10

Step-by-step explanation:

$80 / 10 tickets = 8 per ticket

Please give me some help

Answers

Answer:

do it got a picture

Step-by-step explanation:

Identify the equation of the line graphed below. Prove by converting!

A. 2x + y = 4
B. 2x - y = 4
C. x + 2y = 8
D. x - 2y = 8

Answers

The answer is c. x+2y=8

If EF = 2x + 5 and FG = x + 9, what is EF?

Answers

Answer:

2- × 5

Step-by-step explanation:

10 + (-3 3/8)

Please explain of how i can do this

Answers

Answer:

53/8 or 6.625

Step-by-step explanation:

10 + (-3 3/8)

Convert everything to a fraction having the same denominator.

-3 3/8

-24/3 - 3/8

-27/8

10

80/8

Combine:  (80/8 - 27/8) = 53/8 or 6.625

PLS HELP round to the nearest hundredth

Answers

answer is 3.40 hope this helps

Find the value of x to the nearest tenth. Show all
the work

Answers

Answer:

x is 15.0

Step-by-step explanation:

We can use pythagorus theorum to find the missing side of the triangle.

a² = b² + c²

a² is the longest side of the triangle, so a= 8.

b² (or you can even take c²) is one of the two sides, so b= 3

We have to find  c². So make c² the subject of the equation.

c² = a² - b²

c² = 8² - 3²

c² = 64 - 8

c² = 56

∴ c = [tex]\sqrt{56}[/tex] = 7.48 (in 2 decimal place / 3 significant figures)

Now we can assume that c is half of x.

So x = 7.48 + 7.48 = 14.96

∴ x = 15.0 (to the nearest tenth).

v = 128 – 32t
v is the velocity in ft/sec. It is NOT the height of
the ball.
t is the number of seconds after the ball is
thrown.
With what initial velocity is the ball thrown?
128 seconds
s
What is the y-intercept of the equation?
IS
[ Select]
What does the y-intercept mean?
t
[ Select ]
What is the x-intercept of the equation?
[ Select]
What does the x-intercept mean?
Select]
7
10
-
-
с
80°F

Answers

Answer: The Y intercept is 128 as well, which is the original velocity. Technically it should be v - intercept but whatever. The y  / v intercept is the original velocity. The X intercept should be the t intercept but again whatever. The x/t intercept is 4, meaning that the velocity is zero when t is 4

Step-by-step explanation: y/v intercept is when t = 0. v = 128 - 32(0) = 128

It is the initial velocity at t = 0. The X/t intercept is when v = 0. 0 = 128 - 32t, so 32t = 128, so t = 4. The x intercept means when the velocity is zero, which means that the ball is at its highest/farthest point.

(2x2 3+2)x(4x2 3-1/2)

Answers

Answer:

85.5

Step-by-step explanation:

Answer:

(2*2 3+2) * (4*2 3-1/2)

(4*5) * (8*3-0.5) = (8*2.5)

20*200

4000

will give brainliest plz help

Answers

4.6(if rounded) or 4.57 (if not rounded)
There are 32oz for the full week, all you have to do is divide that by 7 to find the average for each day :)

The information is on the image​

Answers

Answer:
-16
hope this helps

List the ordered pairs

Here are the choices

Answers

It's the third option

The graph shows that f(x)={is translated
horizontally and vertically to get the function

Answers

Answer: 3

Step-by-step explanation:

Find the median number for 10,5,7,9,18,15,17,14,16,17,15,19,5

Answers

The median is 15. When you sort the numbers from least to greatest, the number in the middle is the median.

Answer:

15

Step-by-step explanation:

The median is the "middle" number between a range of numbers. In this question, 15 is the median because is the number that is between the minimum number (5) and the maximum number (19) Hope this helps :)

1. Ram has 50 apples. He distributed them
to his four siblings in the ratio 5:2:2:2. Find
how many apples will each get?
I

Answers

121/2

Step-by-step explanation:

50/4

it goes 12because of 48.

and then it will remain 2

Other Questions
A typical leaf is composed of multiple layers of specialized cells. What is the correct order of layers starting on the upper surface of the leaf and progressing to the lower surface? George Washington's leadership led to the end of the Revolutionary War. What kind of factor is this? Economic Military Political Social Can someone please help me with this question Unlike perfectly competitive markets, health insurance and health care markets are characterized by asymmetric information in many forms. To see the consequences, consider the following scenario: The population is evenly divided between 2 types of people: healthy people and unhealthy people. Healthy people have expected health care costs of $1000 per year. Unhealthy people have expected health care costs of $5000 per year. Unhealthy people can become healthy by working out, eating healthier, and taking preventive care. Assume that the cost of becoming healthy in terms of time and effort is $2000 per year. These people live in a city with one employer who will hire anyone who is willing to work. This employer provides complete health care to all its employees; all health care costs are covered by the insurance. 1. Do the unhealthy employees have an incentive to become healthy?a. Yes.b. No.c. Not enough information.2. What would the new actuarially fair cost of insurance be at the original firm?3. What is the actuarial fair cost of insurance for all the workers? I need a 10 line poem on a wonderful transformation can you imagine what it might be like to transform into something different? In "Charles," Laurie's mother discovers at the PTA meeting that there is no Charles in the kindergarten class. This discovery is an example of which type of irony?verbaldramaticsituationalMULTIPLE CHOICE How did the number of states in the union change between 1790 - 1850? Which of the following was the key evidence against Sacco? He had been seen committing the crime by witnesses. His cap was found near the crime scene. He had been in trouble with the police for his political activities. One of the bullets was said to have been fired from his gun. The Fifth and Fourteenths Amendments are designed to protect the right of? A. Due process B. Equality C. Common good D. Independence Should haileab have taken this position on fighting ? BOOK:Of beetles & ANGELSClaim:Evidence:Counterclaim;Evidence:Rebuttal : who has fortnut im b.ored playing with the same people i want someone to do challenges with and when i in.vite them they will joindoesnt have to have a m.ic preferably under 15 or 15 Normally dividing cells:replace damaged or lost cells.heal wounds.help tissue and organs grow.help keep a person in shape. Wort out: 8 divided by 2/3 Find the product and simplify answer -2a^2(5a^2 - 5a + 5) The Great GatsbyWhat does the comment about "fundamental decencies" by Nick tell you about him, hisperceptions of himself and others, and his understanding of his father's advice? Instructions: Copy and paste the following text into a document or create a document that contains the same information.Using your essay in response to the unit's writing prompt, complete the following steps to improve your essay.IntroductionInsert your introductory paragraph. Include any revisions your instructor asked you to make.Idea DevelopmentWrite the body and conclusion of your essay in the space below.Highlight each paragraph according to the stoplight approach:Green = Topic sentenceYellow = Example, reason, detail, or factRed = Explanation of example, reason, detail, or factBased on your highlighting, what are the areas of your essay that need development?Incorporate two additional or different examples to better support the controlling idea of this essay. Paste the examples below and identify your revisions by underlining.Choose two examples and improve the explanations of them. Be sure your explanations show how the examples prove the points of their paragraphs. In the space below, paste your paragraphs and identify your explanation revisions by underlining.Idea DevelopmentPaste all of your revised body paragraphs and conclusion in the space below. Bold the transitions (link to transition list). Remember, transitions are ued between examples and between examples and explanations.Identify what you have done to synthesize your message throughout this essay, especially in your conclusion.Include your works cited information below, in MLA format. The entitlement of nonhuman animals to ethical treatment is referred to as ________. a. Modern social movement b. Pet protection laws c. HSUS d. Animal rights Three years ago Atul's age was four times Parul's age. After 5 years from now, Atul's age will be two times Parul's age. Find their present ages. How are osmosis and facilitated diffusion similar? 12. Which of the following transformations will produce a similar, but not congruent figure?A. dilationB. reflectionC. rotationD. translation