What is the equation in slope-intercept form of the line that passes through the points
(-4, 2) and (12, 6)?

Answers

Answer 1

Answer:

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

Step-by-step explanation:

1. if the points (-4;2) and (12;6) belong to the required line, then it is possible to make up its equation:

[tex]\frac{x+4}{12+4} =\frac{y-2}{6-2}; \ \frac{x+4}{4}=\frac{y-2}{1};[/tex]

2. if the common form of line in slope-interception form is 'y=s*x+i' (where s - slope, i - interception), then after evaluation of the equation in item 1:

4(y-2)=x+4; ⇒ 4y=x+12; ⇔

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


Related Questions

Can 1,3,7 form a triangle
Hurry I need help ASAP

Answers

Answer:

What

Step-by-step explanation:

ellaborate, if its just the numbers then no.

7a-2a-5b+b= ??

I dont understand this can anyone help

Answers

Step-by-step explanation:

See bring both like terms together like

7a - 5b

-2a + 1b

=? ? ? ?

Now you identify the answer its so easy I all most said the answer there is nothing to solve actually.

Ok

Answer: 5a-4b

Step-by-step explanation:

=7a+−2a+−5b+b

=(7a+−2a)+(−5b+b)

=5a+(−4b)

=5a-4b

Pls help ASAP!!!!!!!!!!!!!!!!!!

Answers

Answer:

it is B

Step-by-step explanation:

i counted all the units for c, and B matches with what I got

:)

Answer:

the answer would be letter B

please answer this for me love

Answers

Answer:

Step-by-step explanation:

x-intercept is the 3rd box, and y-intercept is the 6th box

(-3/2,0) - x intercept ; (0,-9/2) - y intercept. Good luck! :)

I need help with this !

Answers

i believe the answer would be c.

Answer:

i think its b or c

Step-by-step explanation:

Answer please .Give an explanation so I know ur not just getting points so I dont report. Thank you!

Answers

9514 1404 393

Answer:

  B.  1.5 = 2p

Step-by-step explanation:

If p is the fraction of the price of a pizza, then 2p is the actual value of that fraction. We're told that is equal to the price of a hotdog, so ...

  2p = 1.5

or

  1.5 = 2p . . . . . . matches choice B

_____

Additional comment

Some of us would "cut to the chase" and compute the fraction directly:

  p = (price of hotdog)/(price of pizza) = 1.5/2

No such choice is offered, so the next best is the equation you get when you  multiply this by 2:

  2p = 1.5

Which number makes the equation true?

Answers

Answer:

6 is the answer

btw

Anyone wants free ebooks on kindle app or anything????

I can give youuu

Answer: 1/6

Step-by-step explanation:

4x+3(2x-1)-4x *
1,6x-3
2,6x+3
3,14x-3
4,14x+3

Answers

6x - 3

First distribute 3 into the terms in parenthesis
4x + 6x - 3 - 4x

Combine like terms: 4x + 6x = 10x. 10x - 4x = 6x

6x - 3

This cannot be simplified any further without knowing the value of x, so 6x - 3 is your final answer.
I hope this helps :)
Their correct it is 6x-3 !!

At what rate does a payment plan for $1,500 accumulate $450 interest after 6 years?

Answers

Answer:

At a rate of 5%.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

[tex]E = P*I*t[/tex]

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

In this question:

Payment plan for $1500 means that [tex]P = 1500[/tex]

$450 interest after 6 years means that [tex]E = 450, t = 6[/tex]

We have to find the rate I. So

[tex]E = P*I*t[/tex]

[tex]450 = 1500*I*6[/tex]

[tex]I = \frac{450}{1500*6}[/tex]

[tex]I = 0.05[/tex]

At a rate of 5%.

Find three rational number between 2/3 and 3/4.
First pls​

Answers

Answer:

21/30, 22/30, 23/30

Step-by-step explanation:

Cellphone plan A costs $35 for having the phone plus $0.40 per text message. Cellphone plan B costs $45 for having the phone plus $0.30 per text message. How many text messages can be sent for both plans to be equal in cost? (Write and solve an algebraic equation that can be used to solve for the number of text messages before both plans are equal in cost)

Answers

x = number of text messages sent

0.2x+40=50

0.2x = 10

5(0.2x) = 5(10)

x = 50

Therefore, 50 text messages would have to be sent or received in order for the plans to cost the same each month.

Which pair shows equivalent expressions?

A. 2x+10=-2(x-5)
B. -2(x-5)=2x-10
C. -2x-10=-2(x+5)
D. -2(x-5)=-2x-10

Answers

im pretty sure its a and c but if it cant be both of them then u or ur teacher probably wrote one of them wrong

Answer:

its answer is A...as u see inA 10 can be divided by 2 and the answer comes 5 it is equivalent.

I need this for extra credit please!!

Answers

kkkkkkkkkkkkkkkkkkkkk

Someone pls help me

Answers

3 and yes it is ​‎.
3 and proportional

Please help! *WILL MARK BRAINIEST*

Answers

Answer:

27/40

Step-by-step explanation:

Simple math, can I have Brainliest??

Answer:

27/40

Step-by-step explanation:

[tex]-2\frac{1}{4} / -3\frac{1}{3} \\\frac{-9}4}/ \frac{-10}{3} \\\frac{-9}{4}*\frac{-3}{10}\\\frac{27}{40}[/tex]

34, 29, 28, 16, 19, 18, 34, 33, 29
Find the range of the data set

Answers

Answer:

34-16=18

so 18

Answer:

18

Step-by-step explanation:

First, order the data set from least to greatest:

16, 18, 19, 28, 29, 29, 33, 34, 34

The range of a given data set can be found by subtracting the greatest number (34 in this case) with the least number (16) in the set:

34 - 16 = 18

18 is your answer.

~

please help me i really need help please




Analyzing O! Pioneers

Willa Cather’s 1910 novel, O! Pioneers, follows a Swedish family of farmers in Nebraska.
In this passage, John Bergson is dying and worries about what will become of his wife and
young children. Alexandra is the oldest Bergson child


Alexandra, her father often said to himself, was like her grandfather; which was his
way of saying that she was intelligent. John Bergson’s father had been a shipbuilder, a
man of considerable force and of some fortune. Late in life he married a second time, a
Stockholm woman of questionable character, much younger than he, who goaded him into
every sort of extravagance. On the shipbuilder’s part, this marriage was an infatuation,
the despairing folly of a powerful man who cannot bear to grow old. In a few years his
unprincipled wife warped the probity of a lifetime. He speculated, lost his own fortune
and funds entrusted to him by poor seafaring men, and died disgraced, leaving his
children nothing. But when all was said, he had come up from the sea himself, had built
up a proud little business with no capital but his own skill and foresight, and had proved
himself a man. In his daughter, John Bergson recognized the strength of will, and the
simple direct way of thinking things out, that had characterized his father in his better
days. He would much rather, of course, have seen this likeness in one of his sons, but it
was not a question of choice. As he lay there day after day he had to accept the situation
as it was, and to be thankful that there was one among his children to whom he could
entrust the future of his family and the possibilities of his hard-won land.

Discuss the Meaning
Alexandra shares personal qualities with her grandfather. What are these qualities and
how will they help the Bergson family survive after her father dies? Cite text examples to
support your ideas.

Answers

Jesus this is a essay.

PLEASE, PLEASE HELP WITH THIS SOON!
A restaurant customer left ​$1.10 as a tip. The tax was 4% and the tip was 10​% of the after tax cost. Which information is not needed to compute the bill after tax and​ tip? What was the total​ bill?

Answers

Answer:

all info is needed  answer of the total bill is:275 us

Step-by-step explanation:

10x1.10=11= tax

100/z=4/11

275

15 points!!!
Write an
equation of the parabola shown.

Answers

Answer:

y=1/2x-4

Step-by-step explanation:

find the gradient and sub in to find y intercept.give me brainliest pls this took forever to do,

Which of the equations given below would generate a straight line? Help :)

Answers

I think the answer is A, not positive

Jean works for the government and was conducting a survey to determine the income levels of a number of different neighborhoods in a metropolitan area. Based on national data, Jean knows that the mean income level in the country is $40,000, with a standard deviation of $2,000. Jean selected three neighborhoods and determined the average income level. What is the probability that the average income level in the neighborhoods was less than $38,000

Answers

Answer:

0.0418 = 4.18% probability that the average income level in the neighborhoods was less than $38,000.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Jean knows that the mean income level in the country is $40,000, with a standard deviation of $2,000.

This means that [tex]\mu = 40000, \sigma = 2000[/tex]

Jean selected three neighborhoods and determined the average income level.

This means that [tex]n = 3, s = \frac{2000}{\sqrt{3}} = 1154.7[/tex]

What is the probability that the average income level in the neighborhoods was less than $38,000

This is the pvalue of Z when X = 38000. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{38000 - 40000}{1154.7}[/tex]

[tex]Z = -1.73[/tex]

[tex]Z = -1.73[/tex] has a pvalue of 0.0418

0.0418 = 4.18% probability that the average income level in the neighborhoods was less than $38,000.

Which equation represent the following situation : Andre withdrew
spending money from his checking account that initially had $982. What
was the amount of his withdrawal, w, if his ending balance was $922.
O 982 - w = 922
O W - 982 = 922
O 922 - W = 982

Answers

Answer:

Try 60

Step-by-step explanation:

982-922=60

If $5,000 is invested at 4% simple intrest for 30 years. what will be the total intrest earned in the 30 years?​

Answers

Answer:$1.20

Step-by-step explanation: Find 4% of 30

I am using a calculator, but you can get the same result if you multiply .04 and 30

You should get 1.2 or $1.20

Represent the following Percent as a decimal, 87.5%

Answers

So with converting percentages to decimals you move where the decimal is 2 spots to the left of the number so in this case it would be .875
0.875
Hope this helps!

What is the solution to 9x−6<21?
Select one:

x<4

x<3

x<2

x<5

Answers

Answer:

[tex]x > 3[/tex]

Step-by-step explanation:

1) Add 6 to both sides.

[tex]9x > 21 + 6[/tex]

2) Simplify 21 + 6 to 27.

[tex]9x > 27[/tex]

3) Divide both sides by 9.

[tex]x > \frac{27}{9} [/tex]

4) Simplify 27/9 to 3.

[tex]x > 3[/tex]

Therefor, the answer is option B. x > 3.


Which inequality is represented by the number line graph?

Answers

Answer:

We can also graph inequalities on the number line. The following graph represents the inequality x≤2 . The dark line represents all the numbers that satisfy x≤2 . If we pick any number on the dark line and plug it in for x, the inequality will be true.

Step-by-step explanation:

your welcome

FIND THE VALUE OF X PLEASE HELP ME

Answers

Answer:

x = 18

Step-by-step explanation:

4(18) = 72

2(18) - 10 = 26

4(18) + 10 = 82

72 + 26 + 82 = 180

18 the answer they were correct!! And I looked over ok let me stop with the !! I sound white well I looked over there work and it correct

What is the intermediate step in the form (x+a)^2=b as a result of completing the square for the following equation? Please help

Answers

Answer:

[tex] {( \bold {\purple{ \boxed{ x + 7}}})}^{2} = \: \bold {\purple{ \boxed{ 9}}}[/tex]

Step-by-step explanation:

[tex] - 2 {x}^{2} - 28x = 80 \\ \\ - 2( {x}^{2} + 14x) = 80 \\ \\ {x}^{2} + 14x = - 40 \\ \\ {x}^{2} + 2.x. \bold{ \red{7 }}+ 49 = - 40 + 49 \\ (add \: square \: of \: 7 \: both \: sides)\\ \\ {x}^{2} + 14x + {7}^{2} = 9 \\ \\ {( \bold {\purple{ \boxed{ x + 7}}})}^{2} = \: \bold {\purple{ \boxed{ 9}}}[/tex]

can someone please help​

Answers

Answer:

Step-by-step explanation:

Remark

The range is the y values going from the smallest to the largest.

Y values

-3, 5,2, 0

Range

{-3,0,2,5}

what is the answer of -12x+-7x​

Answers

Answer:

-19x

Step-by-step explanation:

Answer:

− 19x

Step-by-step explanation:

Let's simplify step-by-step.

− 12x − 7x

= − 12x + − 7x

Combine Like Terms:

= − 12x + − 7x

=( − 12x + −7x )

= − 19x

Hope it helps,

Please mark me as the brainliest

Thank you

Other Questions
The graph of quadratic parent function fwas transformed to create the graph ofg(x) = f(x + 2) - 5. Which graph best represents g? Choose all the answers that apply. Natural gas _____. Odesseyware plz What are three ways that indoor farms are sustainable? Which is the most specific group? *A. GenusB. FamilyC. OrderD. Phylum In 1899, this Chinese nationalist group rose up in rebellion, killingmissionaries, diplomats, journalists, and thousands of Chinese Christiansuntil losing to a combined force of European and American troops.BoersAnarchistsO BoxersTsoaists< PreviousNext Find the volume of the cylinder. Hurry this is timed asap How is melting water turning it from the ice to liquid water an example of a physical property A. Melting the substance doses not change the substance B. Melting the substance does change substance C it is not a physical property Monroe wants to write a short story in which the narrator knows things the characters in the story don't.Should he use a first-person or a third-person narrator? Why? A. first-person narrator; a first-person narrator is the main character in a story, so he or she knows everything that happened or will happen in the narrative B. third-person narrator; a third-person narrator is the main character in a story, so he or she knows everything that happened or will happen in the narrative C. first-person narrator; a first-person narrator is someone who is not a character in the story, so it's possible for him or her to know more than the characters in the story do D. third-person narrator; a third-person narrator is someone who is not a character in the story, so it's possible for him or her to know more than the characters in the story do Read the passage.If experiments and observations show that the moon gravitates toward the Earth, the sea gravitates toward the moon, and the planets gravitate toward one another, we must conclude that the principle of gravitation applies to everything.Adapted from "The Rules of Reasoning in Philosophy, Sir Isaac NewtonWhat is the central idea of the passage?Gravity exists because of the moon, the Earth, and the planets.Experiments and observations show that gravity applies to everything.Gravity is a type of experiment or observation that applies to all things.Experiments and observations can describe the moon, the Earth, and the planets. Who has more available resources The United States or Africa? Apart from physical factors, what other environmental factors are in your environment? A frozen yogurt shop allows guests to fill a cone shaped cup with frozen yogurt, and customers pay $0.08 per cubic inch. If each cup has a radius of 3 inches and a height of 5 inches, how much yogurt will fill the cone to its full capacity Can someone help will give brainliest and extra points to the first perskn Write the vector in component form. PLRASE HELP PLEASE HEP The continental congress was ? Solve by elimination using subtraction.2x + y = -52x - 5y = 13 When a medical student is studying neurological disorders, what part of the body is she learning about? abones bnerves cmuscles dhormones The feeling or atmosphere created by a work is referred to as:a. themeb. tonec. moodd. suspenseanswer=brainiest background information, stats, laws, facts about if abortion should become illegal