Write an equation in slope-intercept form of the line that passes through the
points (-5, -3) and (1, 9).

Answers

Answer 1

Answer:

[tex]\boxed{\sf{y=2x+7}}[/tex]

Step-by-step explanation:

Use a slope formula and slope-intercept formula.

Slope-intercept formula:

[tex]\sf{y=mx+b}[/tex]

The m represents the slope.

The b represents the y-intercept.

Slope formula:

[tex]\sf{\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

[tex]\sf{y_2=9}\\\\\sf{y_1=(-3)}\\\\\sf{x_2=1}\\\\\sf{x_1=(-5)}[/tex]

Rewrite the problem down.

[tex]\sf{\dfrac{9-(-3)}{1-(-5)}=\dfrac{9+3=12}{1+5=6}=\dfrac{12}{6}=2 }[/tex]

The slope is 2.The y-intercept is 7.

y=2x+7

Therefore, the correct answer is y=2x+7.

I hope this helps you! Let me know if my answer is wrong or not.


Related Questions

HELP ME PLEASE. THIS IS MY LAST QUESTION THEN I CAN GO TO BED.

Answers

Answer:

100.

Step-by-step explanation:

The 2 smaller triangles are similar, so:

48 / (x - 64) = 64 / 48

64(x - 64) = 48^2

x - 64 = 48^2/64

x = 48^2/64 + 64

= 100.

The answer is 100. Now you can go to bed! Lol

Jessica’s credit card is on a 30-day billing cycle, and it computes finance charges using the adjusted balance method. the following table details jessica’s use of her credit card in the month of october. date amount ($) transaction 10/1 1,240.55 beginning balance 10/2 36.43 purchase 10/10 75.00 payment 10/13 131.79 payment 10/20 41.52 purchase 10/22 25.00 purchase what is jessica’s adjusted balance for october? a. $1,136.71 b. $1,033.76 c. $1,140.55 d. $1,240.55

Answers

Jessica’s adjusted balance for October with 3 purchases and 2 payments comes to be $1136.71.

What is the adjusted balance method?

In this method payment done by the borrower in between the month is adjusted in the final balance on which interest is to be levied.

Details of transactions for the month of October are given as:

Date     Transaction/amount            Details

10/1             $1,240.55                   beginning balance

10/2            $36.43                            purchase

10/10           $75.00                            payment

10/13          $131.79                             payment

10/20          $41.52                             purchase

10/22          $25.00                            purchase

Total balance at the end of October

= 1240.55+36.43-75-131.79+41.52-25

Total balance at the end of October =$1136.71

Therefore, Jessica’s adjusted balance for October is $1136.71.

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Answer: b.) 1,033.76

Step-by-step explanation:

NEED ANSWERS QUICK! CORRECT ANSWER GETS BRAINLIEST
Find the quotient of 4 5/8 and 2 1/2. Express your answer in the simplest form.

Answers

Answer:

1 5/32

Step-by-step explanation:

this is the answer

Answer:

The correct answer is 1 5/32

Step-by-step explanation:

First,convert both of the mixed numbers into improper fractions.Next,do the KCF method.Keep,change,and flip.First,like up 4 5/8 and 2 1/2 next to eachother with a multiplication sign in the middle.(Must be in this order!!)Next,turn the multiplication sign into a division sign.After this,change the second mixed number,and flip the denominator and the numerator.Then simply multiply the top numerators and the denominators.That is where you get you answer, Simplifying may be needed. :)

what number is equivalent to the expanded form shown below (2 x 100) + (3 x 1) + (4 x 1/10) + 3 x 1/1,000)​

Answers

(2×100)+(3×1)+(4×1/10)+(3×1/1000)

200+3+0.4+0.003

203.401

Please give me brainliest

The equivalent number is, 203.403.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expanded form of an number is,

⇒ (2 x 100) + (3 x 1) + (4 x 1/10) + 3 x 1/1,000)​

Now, We can write the number as;

⇒ (2 x 100) + (3 x 1) + (4 x 1/10) + (3 x 1/1,000)​

⇒ 200 + 3 + 0.4 + 0.003

⇒ 203.403

Learn more about the mathematical expression visit:

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What is the range of y = sin-1x? [–1, 1] [0, π] left-bracket negative startfraction pi over 2 endfraction, startfraction pi over 2 endfraction right-bracket (–[infinity], [infinity])

Answers

The range of the provided inverse sine function in terms of x, and y y = sin-1x is [-π/2, π/2].

What is the range of the function?

Range of a function is the set of all the possible output values which are valid for that function.

The trigonometry function given in the problem is,

[tex]y = \sin^{-1}x[/tex]

The above function can be written as,

[tex]\sin y = x[/tex]

The above function is the arc of sine function. The domain of arc of sine ranges from -1 to 1.

[tex]-1\leq x\leq1[/tex]

This is the domain of the inverse of sine function. In the attached image below, the graph of inverse sine function is plotted. The range of this function is,

[tex]-\dfrac{\pi}{2}\leq x\leq\dfrac{\pi}{2}[/tex]

Thus, the range of the provided inverse sine function in terms of x, and y y = sin-1x is [-π/2, π/2].

Learn more about the range of the function here;

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Answer:

C {-pi/2,-pi/2}

Step-by-step explanation:

is 69 less than a right angle

Answers

Yes 69 is less than a right angle. A right angle must be 90 lol

Find the 78th term of the arithmetic sequence -4, -2, 0, ...−4,−2,0,...

Answers

Answer:

0

Step-by-step explanation:

-4, -2, 0

the 3rd number is always a 0 so if you do the sequence 78 times the 78th term will be a 0

Will mark brainlist⭐️⭐️
What is the greatest common factor of 12 and 36?
2
4
06
12

Answers

Answer:

12

Step-by-step explanation:

have a good day n ily :)

What is the volume of the rectangular prism?

Answers

Answer:

63 yd³

Step-by-step explanation:

1 cube = ⅓ of a yard

B = 7 cubes

H = 9 cubes

D = 3 Cubes

Volume = BHD

Volume = 3 x 9 x 7

9 x 7 = 63

63 x 3 = 189

189 x ⅓ = 63.

How much material is needed to make the popcorn container?

Answers

94 thank me later have a gooooooooooddddd day

I am doing a coordinate plane activity and i need help my teacher said it was going to be easy but to me it isn’t.

Answers

The layout of each of the coordinates is (x,y) so for the first coordinate (7, 13) you start at zero and go right 7 then up 13. And draw a little cross there or something. If it’s a negative number like (-13, -9) go left 13 from 0 and then go down 9 and draw a little cross again. After you have completed each line you have to join them up (like dot to dot) in the order that you drew them.

Find the value of X round your answer to the nearest tenths

Answers

Answer:

x = 17.9

Step-by-step explanation:

[tex]tan40^{0} =\frac{15}{x}[/tex]

[tex]x=\frac{15}{tan40^{0} } =17.88[/tex]

rounded: 17.9

Hope this helps

WILL GIVE BRAINLIST IF SHOWS MUST BE CORRECT

The number of goals scored by players on a soccer team is represented by the box plot below.



The measure of variability that best describes how the values in this data set vary is
A. Median
B. mean absolute deviation
C. interquartile range
D. mean
E. mode
because
A. there is an odd number of values in the data set
B. there is an outlier in the data set
C. the data distribution is symmetric
.

Answers

The measure of variability that describes the values in the box plot is: C. interquartile range, because: C. the data distribution is symmetric.

What is a Symmetric Data Distribution in a Box Plot?

A symmetric data distribution is depicted on a box plot when the median is in the middle of the rectangular box, and the whiskers are of almost the same length at both sides of the box. Such data distribution is said to be normally distributed.

A normally distributed data distribution is symmetric.

Interquartile range is a measure of variability in a box plot, which is the range of the rectangular box.

Therefore, the measure of variability that describes the values in the box plot is: C. interquartile range, because: C. the data distribution is symmetric.

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PLSS help important
(will gibe brainliest)!
I dont understand this

Answers

To form the vector notation for the translation:

   --> must find how much the new graph moved horizontally from the old

        graph

            --> the graph moved 8 units horizontally

   --> must find how much the new graph moved vertically from the old

        graph

           --> the graph moved 4 units vertically

In vector notation, that would be (8,4)

Hope that helps!

Ian is preparing for his trip to South Korea. He has a total budget of 2,192,896 won for his entire trip. If he calculates that he will need 85,210 won for an extended travel pass, 725,726 won for his plane tickets, 203,396 won for food, and 322,800 won for his hostel room, how much does he have left for spending money and miscellaneous expenses? a. 1,337,132 won b. 1,026,184 won c. 855,764 won d. 830,456 won.

Answers

An equation is formed of two equal expressions. The amount that is left with Ian to spend is 855,764 won.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The total expenses that Ian has to do are the cost of an extended travel pass, cost of plane tickets, cost of food, and cost of his hotel room. Therefore, the total cost can be written as,

Total Cost =  Cost of an extended travel pass + Cost of plane tickets + Cost of food + Cost of his hotel room

Total Cost = 85,210 won + 725,726 won + 203,396 won + 322,800 won

                  = 1,337,132 won

The budget for the entire trip of Ian is 2,192,896 won, while his total expenditure is 1,337,132 won, therefore, the amount that will be left for spending by Ian can be written as,

Amount left for Spending  = Total Budget - Total Cost

                                            = 2,192,896 won - 1,337,132 won

                                            = 855,764 won

Thus, the amount left with Ian to spend is 855,764 won.

Learn more about Equation:

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Answer:

Ian is preparing for his trip to South Korea. He has a total budget of 2,192,896 won for his entire trip. If he calculates that he will need 85,210 won for an extended travel pass, 725,726 won for his plane tickets, 203,396 won for food, and 322,800 won for his hostel room, how much does he have left for spending money and miscellaneous expenses?

a.   1,337,132 won

b.   1,026,184 won

c.   855,764 won<<<CORRECT

d.   830,456 won

Step-by-step explanation:

2022 EDGE TOPIC TEST

Problem 1:
Solve for x: 3x+4=9x+3
A }
B
C-
D) None of the above.

Show work

Answers

Answer:

x=1/6

Step-by-step explanation:

3x+4=9x+3

isolate x

1=6x

1/6=x

Hello!

[tex]======================================[/tex]

First, let's move all the x's to the left:

3x+4=9x+3

3x-9x+4=3

Now, move 4 to the right:

3x-9x=3-4

Combine Like Terms:

-6x=-1

Divide both sides by -6:

x=[tex]\displaystyle\frac{1}{6}[/tex]

[tex]=========================================[/tex]

Notes:Hope everything is clear.Let me know if you have any questions!Always remember: [tex]\boxed{Knowledge~is~power!}[/tex]Good luck & enjoy your day!Answered by:

[tex]\mathcal{Diamond}[/tex] ([tex]\boxed{An~Emotional~Helper}[/tex])


Ridgewood Bank is offering 5% simple interest on all of their savings accounts. If an account is opened with a starting balance of $200, how much money will be in the account after 3 years if no money is withdrawn?​

Answers

Answer:

230

Step-by-step explanation:

[tex]We\ know\ that:[/tex]

[tex]\left\{\begin{matrix}R=5\ percent\\P=200\\T=3\\\end{matrix}\right.[/tex]

Formulate and substitute:

[tex]Substitute\left\{\begin{matrix}R=5\ percent\\P=200\\T=3\\\end{matrix}\right.into\ formula\\ F=P+prt\\ F=200+200rt[/tex]

Calculate

[tex]200\times (1+3\times 0.05)[/tex]

Calculate the product or quotient

[tex]200\times (1+0.15)[/tex]

Calculate the sum or difference

[tex]200\times 1.15[/tex]

Calculate the product or quotient

[tex]230[/tex]

I hope this helps you

:)

Say that australia has a working population of 11,565,470 people, and that the average salary is $26,450 annually. how much tax revenue would australia generate each year by instituting a 31.4% income tax? a. $81,528,467,671 b. $90,224,333,274 c. $96,054,697,991 d. $209,851,983,509

Answers

Answer:$96,054,697,990 ”C”

Step-by-step explanation: Calculating the amount taxed from each person in the working population:31.4% × 26450 = $8305.30 per personThe amount of tax collected from the whole population:8305.30 × 11565470 = $96,054,697,990 ⇒ This is the annual tax revenue

The income tax collection by the total population of australia will be $96,054,697,990

What is income tax?

Some amount of our income is charged by the government this amount is called as income tax.

Calculating the amount taxed from each person in the working population:

31.4% × 26450 = $8305.30 per person

The amount of tax collected from the whole population:

8305.30 × 11565470 = $96,054,697,990  

The annual tax revenue will be equal to $96,054,697,990  

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Xavier has 25% off coupon for Tool depot if he buys a cordless drill that normally cost 200 what will be the amount of the discount in dollars.

Answers

the discount will be 200 x 25% = 50

he will pay 150 for the cordless drill finally

Solve for area and perimeter in each of the following problems. (2)

Answers

Step-by-step explanation:

Area =5m×11m=55m²

perimeter =(11m+5m)×2=52m

hope it helps!

Alex wonders if the same proportion of people are left-handed in the United States and Canada. He wants to
obtain a random sample of people from each country to test if there is a significant difference between the
proportion of left-handed people in each country.
Which of the following is an appropriate set of hypotheses for Alex's significance test?

Answers

Answer:

Pu.s - pc = 0

Pu.s -pc ≠ 0

(Answer D)

Step-by-step explanation:

Kahn

The appropriate set of hypotheses for Alex's significance test is option D.

What is Hypothesis Testing?

Hypothesis testing is the testing of the relationship between two variables for something we needed to test.

There is null hypothesis and alternate hypothesis.

Null hypothesis, H₀ is the statement we need to test.

Alternate hypothesis, H₁, is true if null hypothesis is false.

Here, given that,

Alex wonders if the same proportion of people are left-handed in the United States and Canada.

He wants to obtain a random sample of people from each country to test if there is a significant difference between the proportion of left-handed people in each country.

H₀ : there is no significant difference

H₁ : there is a significant difference

So the correct option is,

H₀ : p(U.S) - p(C) = 0

H₁ : p(U.S) - p(C) ≠ 0

Hence the correct option is D.

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A teacher of a dance class collected data and created a histogram as shown.


Which statement accurately describes the information in the graph?
A.
The data describes the ages of the teachers of an art class.
B.
The data describes the ages of the students in an art class.
C.
The data describes the ages of the students in a dance class.
D.
The data describes the ages of the teachers of a dance class.

Answers

Answer:

C

Step-by-step explanation:

this was quite the toungue twister

Please help! will give brainlest!

Answers

Answer:

[tex]\frac{ \sqrt{3} }{2} [/tex]

Step-by-step explanation:

[tex] \cos \bigg( \frac{11\pi}{6} \bigg) \\ \\ = \cos \bigg( 2\pi - \frac{\pi}{6} \bigg) \\ \\ = \cos \bigg(\frac{\pi}{6} \bigg) \\ \\ = \frac{ \sqrt{3} }{2} [/tex]

Please help .!!!!!!!!!!!!!!!

Answers

This being a piecewise function, trying to solve f(2), we must find which two equations we can use.

We can use the function '3x + 1' because its domain is 'x is greater than or equal to 2

   --> f(2) = 3(2) + 1 = 7

Hope that helps!

Need help with this last question

Answers

I hope I can help you:)

PLEASE HELP ME!!! 30 points to the first person that can answer!

The area of a triangle is 225 square feet. The height of the triangle is half of its base. How many feet is the base?

Answers

Answer:

The base is equal to 30

And the Hight is equal to 15

Step-by-step explanation:

30 * 15 ÷2 = 225

Select all the ways below that correctly describe the ratio of bananas to monkeys in this picture: There’s 4 monkeys and 5 bananas.
1. 4 to 5
2. 5 to 4
3. 4:5
4. 5:4
5. 4/5
6. 5/4
7. 4.5
8. 5.4

(I seriously need help with this, I don’t know how to use Brainly but I hope this works.)

Answers

the answer should be 5 to 4 and 5:4!!

The school has $3,582 to spend on markers. Each package of markers costs $9. How many packages of markers can the school buy?​

packages

Answers

Answer:

398

Step-by-step explanation:

3582 / 9 = 398

Find the area when the circumference is 50.24 cm

Answers

Answer:

201

Step-by-step explanation:

C = 2pi.R

50.24/2pi = R

R= 8

area = pi R² = pi x 8² = 201

wich expression shows a way to factor 15+18

Answers

15+18 is 33. There are many solutions to this question, but I do not know which solutions are shown/given to you. I will wing it.

3(5+6) can also be written as 3 x (5+6) or in a more simpler form, 5+6= is 11. So when we multiply 11 x 3, we get 33 which is also equal to 3(5+6) = 33. Hope this helps.
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