Write the equation of the line fully simplified slope-intercept form.

Write The Equation Of The Line Fully Simplified Slope-intercept Form.

Answers

Answer 1

Answer:

The equation of the line in slope-intercept form is y = -x + 6

Step-by-step explanation:

The form of the slope-intercept form of the linear equation is

y = m x + b, where

m is the slope of the lineb is the y-intercept

The rule of the slope is [tex]m=\frac{y2-y1}{x2-x1}[/tex] , where

(x1, y1) and (x2, y2) are two points on the line

Let us choose two points on the line to form the equation

∵ Points (6, 0) and (0, 6) lie on the line

∴ x1 = 6 and y1 = 0

∴ x2 = 0 and y2 = 6

→ Substitute them in the rule of the slope to find it

∵ [tex]m=\frac{6-0}{0-6}=\frac{6}{-6}=-1[/tex]

m = -1

→ Substitute it in the form of the equation above

∵ y = -1(x) + b

y = -x + b

∵ b is the y-intercept

∵ The y-intercept is the value of y at x = 0

∵ At x = 0, y = 6

b = 6

→ Substitute the value of b in the equation

∵ y = -x + 6

The equation of the line in slope-intercept form is y = -x + 6


Related Questions

Select the graphs that show a proportional relationship between x and y.

Answers

is there any graphs that you see in the question? if so put a photo of them so i know what your seeing.

What is 9x+1=7x-9? Help, please :) thanks.

Answers

9x + 1 = 7x - 9
-7x. -7x
2x + 1 = -9
-1. -1
2x = -10
Divide by 2
x = -5

.
During a musical an orchestra is playing. As the music plays, the volume changes in the beginning of the piece can be modeled by the equation s = 10│x - 4│+ 50 where s represents the sound level in decibels and x represents the number of measures of music played. Explain in words each step to find the following question:



At what number(s) measures played would the sound level be at 80 decibels?

Answers

Answer:qsq

Step-by-step explanation:

Answer:

Step-by-step explanation:

The answer to this is 1 or 7:

To find the range for the number of measures played to satisfy our solution, we must solve for x using s = 80.

Next, we subtract 50 from both sides of the equation.

Next, we divide both sides of the equation by 10

Next, to eliminate the absolute value bars, we will add a ± sign in front of our s value, 3.

Finally, we add 4 to both sides of our equation giving us 4 ± 3 = x

Separating this into two equations, we get 4 - 3 = x and 4 + 3 = x

Therefore, x, the number of measures of music played, must be either 1 or 7.

Open GeoGebra, and follow the steps below to create and compare triangles using the side-angle-side criterion.

Question 1
Create a triangle of your choice on the grid. Measure two of the sides on the triangle and the angle between the two sides. Record the measurements in the table.

Answers

Answer:

Answers will vary but might resemble this answer based on a triangle called ∆ABC.

ce is the angle bisector of dcb and m

Answers

Answer:

We are given that ray CE is an angle bisector of angle ACD. With this, we have the equation,

mACE = mECD

Next, we look at the choices

mECD = mECB > This not possible since ray CD is between the two angles

mACE = mACD > This is still not possible since ray CE is between the two angles

mACE = mDCB > This is possible since angles ACE, ECD and DCB are complementary angles.

mECD = mACD > This is not possible since ray CE is between the two rays

The answer is the third option

Step-by-step explanation:

my correlation coefficient for the linear model i created is 0.8. What does this mean?

Answers

This means that your coefficient of correlation indicates strong correlation between the Independent variable and the dependent variable

A theater company charges $5.50 per ticket for people of all age groups. If c represents the total number of children who brought tickets and a represents the total number of adults who bought tickets, which expression best represents the total money earned by the company from the sale of tickets?

Answers

Answer:

[tex]5.50c+5.50a[/tex]

Step-by-step explanation:

Cost of 1 ticket = $5.50

Total number of children who brought tickets = c

Total number of adults who bought tickets = a

Amount earned from selling tickets to children = 5.50 c

Amount earned from selling tickets to adults = 5.50 a

Therefore,

Total money earned by the company from the sale of tickets = [tex]5.50c+5.50a[/tex]

Two friends race. The first friend gets a head start and runs at a steady rate of 0.20 miles per minute. The second friend waits 1 minute and then runs at a steady rate of 0.25 miles per minute. How long will it take for the second runner to catch up with the first?

Answers

Step-by-step explanation:

In this problem we are expected to solve for the time taken for the second person to meet with the first.

given that

first person's speed=0.2mph

let time taken be= x

we know that

velocity= distance/time

0.2=distance/x

distance=0.2x----1

second person's speed= 0.25mpm

time taken=x-1

we know that

velocity= distance/time

0.25=distance/x-1

distance=0.25(x-1)

distance=0.25x-0.25-----2

equating equation 1 and 2 we have

0.2x=0.25x-0.25

0.2x-0.25=-0.25

-0.05x=-0.25

divide both sides by -0.05 we have

x=-0.25/-0.05

x=5

we know that the second person's time is described by

=x-1

=5-1=4min

The second person will catch up after 4 minutes

Golving Linear Equation Application Problems


Content attribution


Use a Formula to Solve a Real World Application


Question


On Saturday morning, it took Jennifer 3.6 hours to drive to her mother's house for the weekend. On Sunday evening, due to


heavy traffic, it took Jennifer 4 hours to return home. Her speed was 5 mi/hr slower on Sunday than on Saturday. What was


her speed on Sunday? Do not include units in your answer.


Provide your answer below:


FEEDBACK

Answers

Answer:

Speed of Jennifer on Sunday [tex]=45[/tex] mi/hr

Step-by-step explanation:

Let speed of Jennifer on Saturday be x mi/hr

On Saturday morning, it took Jennifer 3.6 hours to drive to her mother's house for the weekend.

Distance travelled by Jennifer on Saturday = Speed × Time [tex]=3.6x[/tex] miles

Speed of Jennifer on Sunday = [tex](x-5)[/tex] mi/hr

On Sunday evening, due to  heavy traffic, it took Jennifer 4 hours to return home.

Distance travelled by Jennifer on Sunday = Speed × Time [tex]=4(x-5)[/tex] miles

As distance is obviously same on both Saturday and Sunday,

[tex]3.6x=4(x-5)\\3.6x=4x-20\\20=4x-3.6x\\20=0.4x\\x=\frac{20}{0.4}\\ x=50[/tex]

Therefore,

Speed of Jennifer on Sunday = [tex](50-5)=45[/tex]  mi/hr

Write 2 5/7 in radical form

Answers

Answer:

19/7

Step-by-step explanation:

A number x is twice its reciprocal. What is x^6?

Answers

Answer:

8

Step-by-step explanation:

x = 2/x <=== It must be: x ≠ 0. Solve for x. Multiply both sides by x.

x^2 = 2.

Hence:

x = ±√2.

Both -√2 and √2 give 8 when they are raised to the power of 6.

(-√2)^6 = (√2)^6 = 8.

The value of the given expression [tex]x^6[/tex] is 8 and this can be determined by using the arithmetic operations.

Given :

A number x is twice its reciprocal.

The following steps can be used in order to determine the value of [tex]x^6[/tex]:

Step 1 - The arithmetic operations can be used in order to determine the value of [tex]x^6[/tex].

Step 2 - The mathematical expression of the given statement "A number x is twice its reciprocal" is:

[tex]x = \dfrac{2}{x}[/tex]

Step 3 - Simplify the above expression in order to determine the value of 'x'.

[tex]x = \pm\sqrt{2}[/tex]

Step 4 - Now, substitute the value of 'x' in the given expression.

[tex]x^6= (\sqrt{2} )^6\\x^6 = 8[/tex]

So, the value of the given expression [tex]x^6[/tex] is 8.

For more information, refer to the link given below:

https://brainly.com/question/25834626

What is the multiplicative inverse of 4 5/19

Answers

Answer:

The answer is 4 and 5 ii think Step-by-step explanation:

4 & 5. hope this helps

FIRST TO ANSWER GETS BRAINLEIST! (Doing 5 more so check my recent :)

Answers

Oh hi, it's nice to meet you!

Answer:

35x+24=28x+45

Step-by-step explanation:

Airplanes are sometimes used to fight fires. A certain airplane can deliver 4 x 10 liters of water in one trip. How much water can this airplane deliver in 34
trips?
Write your answer in scientific notation.

Answers

Answer

1360

Step-by-step explanation:

4x10 is 40 so you'd have to multiply 40x34 which is 1360

136×10 is the amount of water used by the airplane to deliver 34

trips.

What is Multiplication?

Multiplication is a method of finding the product of two or more numbers

Given that Airplanes are sometimes used to fight fires.

A certain airplane can deliver 4 x 10 liters of water in one trip.

We need to find how much water can the  airplane deliver in 34

trips

Let us find the water used for one trip.

1 trip is 4 x 10 liters which is 40 litres.

Now we have to find for 34 trips.

We have to multiply 34 with 40 litres

34×40

Thirty four times forty

1360

Now we have to convert it to the scientific notation 136×10

Hence, 136×10 is the amount of water used by the airplane to deliver 34

trips.

To learn more on Multiplication click:

https://brainly.com/question/5992872

#SPJ2

{8} ⊆ {7,8,9} true or false

Answers

the answer is false

.....................................

Answer:

Homework #1-18: Answer yes or no, if no give the reason

1) Is A ⊆ B given A = silver, B = {gold, silver, diamond}

A is not a set, so it can’t be a proper subset.

Answer: no, because A is not a set

3) Is C ⊆ D given C = {Phoenix}, D = {Phoenix, Glendale, Peoria, Scottsdale}

I need two rules to work.

C is a set so rule 1 is satisfied.

Every element of C is also an element of D, so rule 2 is satisfied.

Answer: yes

5) Is A ⊆ B given A = {2,3} , B = {1,2,3,4,5}

I need two rules to work.

A is a set so rule 1 is satisfied.

Every element of A is also an element of B, so rule 2 is satisfied.

Answer: yes

7) Is A ⊆ B given A = a, B = {| }

A is not a set, so it can’t be a proper subset.

Answer: no, because A is not a set

9) Is A ⊆ B given A = { }, B = {1,2,3,4,5}

Answer yes: the empty set is a subset of every set.

11) Is S ⊂ T given, S= ∅, T = {1,2,3,4,5}

Answer yes: the empty set is a subset of every set.

13) Is A ⊂ B given A = {1,2,3}, B = {3,2,1}

This is not a true statement. The sets are equal and this symbol does not allow sets to be equal.

Answer: no, sets are equal

15) Is C ⊂ D given C = {1,2,3,4,5}, D = {1,2,3,4}

Answer: no, C is not contained in D, so this is not true

17) Is A ⊂ B given A = {4,3,2,1 }, B = {1,2,3,4,5}

A is a set so rule 1 is satisfied,

A is contained in B so rule 2 is satisfied

A is not equal to B so rule 3 is satisfied

Answer: yes (all 3 rules are satisfied)

Homework #19 – 34: Determine which of these are true. (Choose every answer that is true, in

many instances there will be more than one correct choice.)

A = B, A ⊆ B, B ⊆ A, A ⊂ B, B ⊂ A, or none of these

19) A = {Trix, Captain Crunch, Rice Krispees} B = {Rice Krispees}

B is contained, but not equal to A. B is both a subset and a proper subset of A.

A is not contained in B

The sets are not equal.

Answer: B ⊆ A, B ⊂ A

Step-by-step explanation:

here all of it

, what is the radius of a circle with circumference 37.7 ​m?

Answers

Answer: r≈6

Step-by-step explanation: Using the formula

C=2πr

Solving forr

r=C

2π=37.7

2·π≈6.00014

Answer:

The radius is 6

Step-by-step explanation:

The circumference of a circle is equal to pi times the diameter. The diameter is two times the radius, so the equation for the circumference of a circle using the radius is two times pi times the radius

C=2πr

r=C

2π=37.7

2·π≈6.00014

Hope this helps!

-Jerc

Use given graph to determine the limit, if it exists. Find lim f(x) -2 and lim f(x) 2+ WILL GIVE BRAINLIEST

Answers

Answer:

it does not exist my friend

It turns out i need sum help help TOTTALY isnt cuz i dont wanna do it :')


10pnts

Answers

Answer: Multiply by 17 and simplify them.

Step-by-step explanation:

17 multiply 8 equals 136
136 subtract 9 equals 127
The answer is 127.

1) The standard form of a linear equation is written as .
ax + by=c
a. Write the equation in slope-intercept form( y= mx + b)

b. Write the slope, y-intercept form of (a).
PLS HELP

Answers

Answer:

[tex]\displaystyle y=-\frac{a}{b}x+\frac{c}{b}[/tex]

Step-by-step explanation:

The equation of the line, expressed in slope-intercept form is:

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

Where m the slope and yo the y-intercept.

Since we are given the line in standard form:

ax+by=c

To find the slope-intercept form, we just solve it for y:

[tex]\boxed{\displaystyle y=-\frac{a}{b}x+\frac{c}{b}}[/tex]

Comparing the last equation with the slope-intercept form:

[tex]\displaystyle m=-\frac{a}{b}[/tex]

[tex]\displaystyle y_o=\frac{c}{b}[/tex]

Answer:

ax + by = c

-ax     -ax

by=ax+c

then dived both sides by b to get y by itself

y= a/bx +c

Step-by-step explanation:

Solve for x.

4−(2x+4)=5

A. x=32
B. x=−52
C. x=−10
D. x = 6

Answers

Answer:

x = - 2.5

Step-by-step explanation:

Hi there !

4 - (2x + 4) = 5

4 - 2x - 4 = 5

- 2x = 5

2x = - 5

x = - 5 : 2

x = - 2.5

Good luck !

Solve the equation.
7x - 2 = 10x + x + 6x

Answers

Answer:

x=-2 or x=5

Step-by-step explanation:

trust.

The Smith family and the Jackson family are having their basements remodeled. the Smiths contractor charge $16.50 an hour plus $289 in supplies. the Jackson’s contractor charge is $18.75 an hour and $274.60 and supplies. at how many hours of work with the total cost be the same for both families

Answers

Answer:

6.4 hrs

Step-by-step explanation:

16.5h + 289 = 18.75h + 274.6

16.5h-18.75h = 274.6-289

-2.25h=-14.4

h=14.4/2.25

h=6.4 hrs

check

6.4×16.5=105.6

105.6+289=394.6

18.75×6.4=120

120+274.6=394.6

What is the value of √64 × ∛27?

Answers

Answer:

24

Step-by-step explanation:

√64 ×∛27

√64=√8²=8

∛27 = √3³=3

8*3=24

3+(4 times 5-2)+8 what’s the answer

Answers

Answer:

29

Step-by-step explanation:

Answer:

3+(4×5-2)+8

Step-by-step explanation:

3+(20-2)+8

3+18+8

21+8

29 Ans


Need help ASAP! Ty

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   .      .     。   。 .  

.   。      ඞ 。 .    •     •

  ゚   Black was not An Impostor.  。 .

  '    1 Impostor remains     。

  ゚   .   . ,    .  .

Answers

Answer:

Its 22 squared feet

Step-by-step explanation:

you multiply everything and then divide by 1/2 because it's a triangle, so you would use the equation for that.

Answer:

the first one

Step-by-step explanation:

WILL MARK YOU BRAINLIEST!!!!!

Answers

Answer:

m <6 would also be 112

Step-by-step explanation:

Jin’s soccer team has 4 coaches and 22 players, and his twin sister’s team has 2 coaches and 11 players. If the relationship between the number of players and coaches is proportional throughout the league, which ordered pair could represent the total number of coaches and players in the entire league?

x
y
2
11
4
22

24 coaches and 120 players
26 coaches and 143 players
28 coaches and 168 players
30 coaches and 180 players

Answers

Answer:

B :

26 coaches and 143 players

Step-by-step explanation:

Answer:

26 coaches and 143 players

Step-by-step explanation:

we can set up a proportion: [tex]\frac{coaches}{players}[/tex]

Our original proportions, 4/22 and 2/11 simplify to 2/11

We basically need a proportion that simplifies to 2/11, So let's simplify each proportion

24 coaches and 120 players: 24/120 simplified ⇒ 1/5

26 coaches and 143 players: 26/143 simplified ⇒ 2/11

28 coaches and 168 players: 28/168 simplified ⇒ 1/6

30 coaches and 180 players: 30/180 simplified ⇒ 1/6

The porportion, 26 coaches and 143 players simplifies to our orginal

proportion, 2/11, therefore it is proportional

Graph the line that passes through the points (3,7) and (-9, -1) and determine
the equation of the line.

Answers

Answer:

y=2/3+5

Step-by-step explanation:

Answer:

y=2/3+5

Step-by-step explanation:

what is y= -3/2x - 1/4 in standard form?

Answers

Answer:

6x+4y=-1

Hope this helps!! <3

6x+4y=-1 hope this helps

Einstein once developed the formula, E = mc2, to describe the theory of relativity, where E is the total energy in the system, m is the total mass, and c2 is the speed of light. If the equation was to be rearranged in order to solve for the total mass, which formula below should be used?

A - m = E/c2
B - m = E — c2
C - m = Ec2
D - m = E + c2

Answers

Answer:

The formula which should be used is  [tex]m=\frac{E}{c^{2}}[/tex] ⇒ A

Step-by-step explanation:

To solve an equation of different variables to one of these variables do that

Write the equation and underline the variable you want to solve for itSeparate this variable on one side and all other terms on the other sides

Let us do that with the question

∵ E = m

→ E is the total energy

→ m is the total mass

→ c² is the speed of light

∵ We need to solve the equation for the total mass m

→ We need to take c² to the other side

∵ c² is multiplied by m

∴ Divide both sides by c² to move it from the right side to the left side

∴ [tex]\frac{E}{c^{2}}=\frac{mc^{2}}{c^{2}}[/tex]

→ Cancel c² with c² on the right side

∴ [tex]\frac{E}{c^{2}}=m[/tex]

→ Switch the two sides

∴ [tex]m=\frac{E}{c^{2}}[/tex]

The formula which should be used is  [tex]m=\frac{E}{c^{2}}[/tex] ⇒ A

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what is Renaissance? The table below shows some of the properties of samples of the elements zinc and ironPROPERTIES OF ZINC AND IRONPropertyZincIronVolurne10 cm12 cmElectrical conductivityConductiveConductiveMelting Point419C1,538CReactivity with a strong acid ReactiveReactiveA scientist has a sample of metal that could be either iron (Fe) or Zinc (Zn) Which of the following properties could be tested to classify the metal sample?Electrical conductivityO Reactivity with a strong acidO Melting Pointo VolumeNo PLEASE HELP!!! ILL GIVE BRANLIEST *EXTRA POINTS* dont skip :(( An infinite geometric series contains consecutive terms 262.4, 209.92, 167.963 and the sum is 1640. What is the first term? _______ and __________ were very important to the Dutch colonists.A)freedom, growthB)religion, educationC)science, discoveryD)government, democracy URGENT!! 1. Given the equation 3x 4y = 24.a) Find two solutions to the equation. Write your answer as coordinates.b) Using your answers from part a, what is the slope of the given equation. c) Convert the given equation into slope-intercept form. Select each equivalent answer. You must select all correct answers.Which of the following are equivalent to 10-2 ?Group of answer choices0.1000.02LaTeX: \frac{1}{100} 1 100LaTeX: \frac{1}{200} 1 2000.01LaTeX: \frac{1}{10} Why I the man worried about falling into the streets?A. He always gets embarased when he falls.B. He has fallen into the street many timesC. Any traffic would not be able to see himD. Other people would not help him get up help me with a review of a civics passage. The sum of three integers is 92. The second number is three times the first number. The third number is ten less thantwice the first number. Find the integers. As the solar system formed, it became flatter over time. What effect, if any, did this flattening likely have on the rate of rotation of the solar system? 3.Name the image LineLine segmentRay angle why the Pax Romana could be considered one of the greatest periods of the Roman Empire. 16+y/8=25. solve. and explain. Winslow Homers, Shore and Surf (above), is an example of how artists take elements from the environment to _____________a.record an image for future generations.b.transform and represent their mood and messages.c.show the fierce power and energy of nature.d.represent current thoughts and philosophy which expression is represented by the diagram? O-6-(-4) O -6-4 O -10-4 O -10-(-4) The lengths of the two diagonals of a rhombus are 6 cm and 8 cm. Find the length of its perimeter (incm) In Longfellows poem "The Village Blacksmith," Longfellow never gives a name to the blacksmith. By not naming the blacksmith, Longfellow makes him universal. This means the blacksmith can represent anyone in America who is a honest, hardworking member of the community. Who is someone you believe is like the village blacksmith?In your answer make sure you have at least five sentences and cite at least two lines from the poem with page numbers that you would use to describe the person you believe is like the village blacksmith. Ethan digests a piece of toast. He is using _____.smooth musclestriated musclecardiac muscle true or falseA number that has values on the left and the right of the decimal point is called a "decimal mixed number.