Write the equation of the line that passes throught the points (-1, 6) and (5, -4).

Answers

Answer 1

Answer:

y = -5/3x + 13/3

Step-by-step explanation:

(-1, 6) and (5, -4).

First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(-4 - 6) / (5 - (-1))

Simplify the parentheses.

= (-10) / (5 + 1)

= (-10) / (6)

Simplify the fraction.

-10/6

= -5/3

This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.

y = -5/3x + b

To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (5, -4). Plug in the x and y values into the x and y of the standard equation.

-4 = -5/3(5) + b

To find b, multiply the slope and the input of x(5).

-4 = -25/3 + b

Now, add 25/3 to both sides to isolate b.

-4 ⇒ -12/3

-12/3 + 25/3 = 13/3

13/3 = b

Plug this into your standard equation.

y = -5/3x + 13/3

This is your equation.

Check this by plugging in the other point you have not checked yet (-1, 6).

y = -5/3x + 13/3

6 = -5/3(-1) + 13/3

6 = 5/3 + 13/3

6 = 18/3

6 = 6

Your equation is correct.

Hope this helps!


Related Questions

Plz solve it And show ur work plzzz giving brainliest

Answers

Answer:

Step-by-step explanation:

4 x 6 1/4

4 x 25/4

= 25

Here is the explanation. Hope this helps!

Sam said the square root of a rational number must be a rational number. Jenna disagreed. She said that it is possible
that the square root of a rational number can be irrational. Who is correct and why?
Jenna is correct because all square roots are irrational numbers.
Sam is correct because all square roots of rational numbers are rational. An example is 121 - 11.
O Jenna is correct because not all square roots are rational. An example is 2-1.414213
Sam is correct because the properties of square roots state that the square root of a rational number is a rational
number

Answers

Answer: Definitely C!

Jenna is correct because not all square roots are rational. An example is StartRoot 2 EndRoot = 1.414213 ellipsis

Step-by-step explanation:

The answer is C. Trust me I did the quiz on edge 22

A rectangular prism has a length of 312 m, a width of 412 m, and a height of 2 m. Which expressions can be used to find the volume of the prism? Select each correct answer.

Answers

Answer: [tex]312\times 412\times 2[/tex]

Step-by-step explanation:

Given

The length of rectangular Prism is [tex]l=312\ m[/tex]

The width of the rectangular prism is [tex]w=412\ m[/tex]

The height of the rectangular prism is [tex]h=2\ m[/tex]

The volume of the rectangular prism is given by [tex]l\times w\times h[/tex]

Put values

Volume is [tex]V=312\times 412\times 2=2,57,088\ m^3[/tex]

"You purchase a vintage car for $140,000 and it appreciates (i.E. Increases in value) by 4% annually. How much will the car be worth in 10 years?"

Answers

Answer:

Future Value= $207,234.2

Step-by-step explanation:

Giving the following formula:

Initial value (PV)= $140,000

Appreciation rate (r)= 4% = 0.04

Number of years (n)= 10

To calculate the future value of the car after ten years, we need to use the following formula:

FV= PV*(1+i)^n

FV= 140,000*(1.04^10)

FV= $207,234.2

Guys pls help me!!!!!!!! (It’s not c)

Answers

The correct answer is A

Answer:

The answer is D .

Step-by-step explanation:

Hope it was helpful .

Given m||n, find the value of x.

Answers

Answer: T be honest i really don't know.

Step-by-step explanation:

Answer:

x=29

Step-by-step explanation:

Based off of the Consecutive Interior Therom, Angle 1= Angle 2. With this given, you get:

6x-1=5x+28

-5x. -5x

x-1=28

ANSWER:

x=29

PLEASE HELP!!

solve

2x + 3y = 12
( 6x - y = 4 )

A. x = - 1 1/2, y = -13
B. x = 1 1/5, y = 3 1/5
C. x + 1 1/3, y = 4
D. x = 11, y = -3 1/3

Answers

Answer:

I am not sure but

Step-by-step explanation:

try to use to website https://www.symbolab.com/solver/pre-algebra-calculator

you can chose what your learning and it gives you the right answer. make sure you put the numbers in correctly. if you don't it will mess every thing up for that problem. That one reason I have a B in math cuz i use that site for my math. and it shows you how to do it with steps

please give me a heart if the site really helps you guys :)

Salma made 378 for 18 hours of work.
At the same rate, how much would she make for 5 hours of work?
Please help me answer this question!

Answers

Answer:

Sorry, I can't help you with that :( I hope someone else can tho!

Step-by-step explanation:

Type the correct answer in each box. Use numerals instead of words.
Bethany collected 200 survey responses regarding recycling behaviors in her city of those responses, 174 people responded that they
participate in the city's recycling program.
Use this information to complete the statement. Round all answers to the nearest hundredth.
, which means that
% of the people surveyed do not participate in the city's
The approximate sample proportion is
recycling program.

Answers

Answer:

Step-by-step explanation:

Answer:

1st one 0.87

2nd one 13

PLATO

Step-by-step explanation:

PLEASE HELP ASAPPP!!!

Directions: Show all of your work for the following two problems on a seperate sheet of paper. Take a picture of your work and attach the picture to this assignment.

1. Solve the following system of equations, show all your work on a separate sheet of paper, and check your answer. Write the solution as a point (x,y) (4 points).

3x + 5y = -40

–x + 4y = -15?



2. Suppose you and your friends form a band and you want to record a demo. Studio A rents for $125 plus $50 an hour and Studio B rents for $200 and $30 an hour. Let t = the number of hours and c = cost.

Write an equation to represent the cost at each studio (2 points)

Solve the system (2 points)

Write the solution as a point (x, y) (2 points)

Answers

Answer:

x = -5  y = -5

Step-by-step explanation:

–x + 4y = -15

     - 4y  -4y

-1(-x = -4y - 15)

x = 4y + 15

Substitute x = 4y + 15 into 3x + 5y = -40

3(4y + 15) = -40

17y + 45 = -40

      - 45   -45

17y = -85

/ 17    /17

y= -5

Substitute y = - 5 into x = 4y + 15:

x = 4(-5) + 15

x = -20 + 15

x = -5

Answer:

Part I

(-5,-5)

Part II

(3.75, 312.50)

Step-by-step explanation:

Part I

(1) 3x + 5y = -40

(2) -x + 4y = -15

solve for x in (2)

x = 15 + 4y

substitute into (1)

3(15+4y) + 5y = -40

45 +12y + 5y = -40

45 +17y = -40

17y = -85

y = -5

substitute y = -5 into (1)

3x + 5(-5) = -40

3x -25 = -40

3x = -15

x = -5

so  (-5, -5)

Part II

Studio A  

C = 125 + 50t

Studio B

C = 200 + 30t

125 + 50t = 200 + 30t

20t = 75

t = 3.75

(3.75, 312.50)

In the last 150 years, the average height of people in the industrialized nations has increased by 1/3 foot. Today, American men have an average height of 5 7/12 feet. What was the average height of American men 150 years ago? show your work

Answers

Answer:

5 1/4 feet

Step-by-step explanation:

Average height now:

5 7/12 feet

The difference:

1/3 foot

Average height 150 years ago:

5 7/12 - 1/3 = 5 + 7/12 - 4/12 =5 + 3/12 =5 + 1/4 =5 1/4 feet

Can you explain how the answer to this question is 8 plz!! Thank chu What percent of 2.5 is 0.2. Please helllllp. My whole family is trying to figure out this darn problem! I promise to give the best answer brainliest!

Answers

Answer:

3.9

Step-by-step explanation:

i need more detale """))

Answer:

0.2 is 8% of 2.5

Step-by-step explanation:

question: what percent of 2.5 is 0.2

paraphrased: 0.2 is what fraction of 2.5 (then convert to percent)

make into fraction

0.2/2.5

=2/25

therefore 0.2 is 2/25ths of 2.5  !

to convert to percentage, make the denominator /100

2/25

multiply by 4 both sides

= 8/100

8 out of 100 is 8%

=8%

hope this helps !

State the most specific name for each figure

Answers

Answer:

7. quadrilateral, 8. square, 9. rectangle, 10. rhombus or parallelogram 11. square, 12. square, 13. rhombus or parallelogram, 14. parallelogram or rhombus

Which of the following represents a solution to the equation d3 - 343?

Answers

I don’t see any multiple choice but d3 -343 is factored as (d-7)(d^2+7d+49)

Select the correct answer.
What is a car loan?
А. a way to pay in advance for using a car for a given time period

В. a way to pay for a car that is dependent on the number of miles you drive

C. a way to borrow money from a bank or financial institution to pay for a car

Answers

Answer:

A. way to pay in advance for using a car for a given time period

Step-by-step explanation:

I think so..

Answer:

C) a way to borrow money from a band or financial institution to pay for a car

What is the difference between the circumference of the outer circle and the circumference of the inner circle?

Answers

Answer:the Circumference of the outer cycle is longer than the circumference of the inner circle.

Step-by-step explanation:

Name an outcome that has a probability between 0 and 0.5.​

Answers

0.3 shsysgotos istxosotcscyowoycscyosyosoycsycowwpyspcyscoyaocyaostc

Two symmetric points on a parabola are (3, -2) and (7, -2).

What is the parabola's axis of symmetry?

Answers

Answer:

(5, -2)

Step-by-step explanation:

It is in the middle of the parabola for the points (3, -2) and (7, -2).

A coach is buying snacks for 22 players on a soccer match chip is a total of $77 to buy each player a bottle of water and energy bar the price of one energy bar is two dollars

Answers

The question is incomplete:

A coach is buying snacks for 22 players at a soccer match. She pays a total of $77 to buy each player a bottle of water and an energy bar. The price of one energy bar is $2. Let w equal the price of a bottle of water. Write an equation that represents the situation.

Answer:

x=44+22w, where

x is the total amount paid

w is the price of a bottle of water

Step-by-step explanation:

With the information provided, you can say that the total amount paid is equal to the result of multiplying the price per energy bar for the number of energy bars purchased plus the result of multiplying the price per bottle of water for the number of bottles of water:

price per energy bar= $2

number of enrgy bars= 22

price per bottle of water= w

number of bottles of water= 22

x=(2*22)+(w*22)

x=44+22w, where

x is the total amount paid

w is the price of a bottle of water

Recs
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T.13 Compound interest: word problems YJW
You have prizes to reveal! Go to you
Alexa opened a savings account 5 years ago. The account earns 3%
interest, compounded annually. If the current balance is $600.00, how
much did she deposit initially?
Round your answer to the nearest cent.
Submit

Answers

Answer:

hshshjsjsjejdjdjsnnsjsns

A company used 7.4 x 105 sheets of paper a month, the accounting department used 8.9 x 103 sheets. How many were used by other departments during the month

Answers

Answer:

731,100

7.311 × 10^5

Step-by-step explanation:

The computation of the number of sheet used by other department is given below:

Given  that

The company used 7.4 × 10^5 sheets of paper So it would be 740,000  

And, The accounting department used 8.9 × 10^3 sheets so it would be 8,900  

Now the number of sheet used by other department is

= 740,000 - 8,900

= 731,100

= 7.311 × 10^5

Someone please help me withe this​

Answers

Answer:

13

Step-by-step explanation:

it will be B because it find the missing side you need to do the pythagorean theorem

13 is the answer.......

3x + 2 y = 4
What is the answer

Answers

Answer:

You want to look for x? If yes then:

[tex]x=\frac{4}{3}-\frac{2y}{3}[/tex]

And this is for y

[tex]y=2-\frac{3x}{2}[/tex]

Plzzzzzzzzzzzzz help ;-;

Answers

Answer:

option A

associative property of addition

Answer:

Associative property

Step-by-step explanation: when they are added or multiplied does not change the sum or product

Find the radius of each circle using 3.14
or 22/7 for pi. Round to the nearest tenth if
necessary.
Circumference=12.6 yd

Answers

Answer: 2.01

Step-by-step explanation: Divide the circumference by π, or 3.14 for an estimation. The result is the circle's diameter.

Divide the diameter by 2.

Anitra has 12 hair ribbons. One fourth of the ribbons are pink. Three are purple, and the rest are red. What fraction of Anitra's hair ribbons is red?

Answers

Pink ribbons are 3 ( 12:4)
3 pink + 3 purple =6 (together)
12-6 = 6(red)
Fraction is 6/12 simplify 1/2 the answer is one half (1/2)

The fraction of Anitra's hair ribbons is red is 1/2.

What is the fraction?

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Given that, Anitra has 12 hair ribbons.

One fourth of the ribbons are pink.

So, number of pink ribbons = 1/4 ×12

= 3

Three are purple, and the rest are red.

So, number of red ribbons

= 12-3-3

= 6

Now, fraction = 6/12 = 1/2

Therefore, the fraction of Anitra's hair ribbons is red is 1/2.

To learn more about the fraction visit:

brainly.com/question/1301963.

#SPJ2

Please help with this

Answers

Answer:

1, 2, 3, 6, 9, 18, 27, 54

Step-by-step explanation:

Which expression is equivalent to 3^2 x 3^6

3^12

9^12

9^8

3^8

Answers

Answer:

[tex] {3}^{8} [/tex]

Step-by-step explanation:

1) Use product rule: x^a x^b = x^a+b.

[tex] {3}^{8} [/tex]

2) Simplify.

[tex]6561[/tex]

The answer is option D) 3⁸.

Ice cream cones cost $1.10 and sundaes cost $2.35. One day, the receipts for a total of 172 cones and sundaes were $294.20. How many cones were sold.

Answers

Answer:88

Step-by-step explanation:

1.10c+2.35s=294.20

C+S=172

1.10c+2.35s=294.20 if you multiply by 100.

110c+235s=29420

-110 (cones + sundaes =172)

-110c-110s=-18920

125s/125=10500/125

S= 84

C+84=172

-84. -84

C= 88

A right triangle has a height of 13 centimeters and a base of 16.4 centimeters what is the area of the triangle

Answers

9514 1404 393

Answer:

  106.6 cm²

Step-by-step explanation:

The area of a triangle is given by the formula ...

  A = 1/2bh

  A = 1/2(16.4 cm)(13 cm) = 106.6 cm²

The area of the triangle is 106.6 square centimeters.

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