Write the equation of the following line in slope-intercept form. X​

Write The Equation Of The Following Line In Slope-intercept Form. X

Answers

Answer 1

Answer:

[tex]y=-\frac{1}{2}x+2[/tex]

Step-by-step explanation:

The equation for slope-intercept form is [tex]y=mx+b[/tex].

First, we find b by looking at where the line passes through where [tex]x=0[/tex]. We can see that it is 2, so in our equation for slope-intercept form [tex]b=2[/tex].

Next, we find the slope or m. Find the slope by taking two points and plugging them into this expression [tex]\frac{x_{1}-x_{2}}{y_{1}-y_{2}}[/tex]. To demonstrate, I will choose points (0,2) and (2,1), however, any pair of points will give you the same answer. When we plug in these points, we should get the expression [tex]\frac{0-2}{2-1}[/tex]. By solving this, we get -1/2. Therefore, in our equation for slope-intercept form, [tex]m=-\frac{1}{2}[/tex].

By putting the information we have about m and b together, we get the equation [tex]y=-\frac{1}{2}x+2[/tex].


Related Questions

In the given figure if AOB = 132°, COD = 141°, if measure of BOD equals x°, then x is

Answers

Answer:

BOD = 189 °

Step-by-step explanation:

that is the answer above

If 7 is added to the product of 7 and 3 what is the answer

Answers

Answer:

28

Step-by-step explanation:

[tex]7+7\times 3 = 7(1+3)= 7 \times 4 = 28[/tex]

Answer:

28

Step-by-step explanation:

When we find the product of 2 or more numbers, we multiply them.

so

product of 7 and 3 = 7 x 3 = 21

7 + 21 = 28

Hope this helps. I attempted to make it as simple as possible.

- profparis

9.) List three things vertical and horizontal lines have in common.

Answers

Answer:

Horizontal lines have a slope of zero, and run parallel to the x axis. Vertical lines have a undefined slope, and run parallel to the y axis. The equation for a horizontal line equals y=c, and the equation for a vertical line equals x=c. If a horizontal line crosses a vertical line the two lines would be perpendicular to one another.

Step-by-step explanation:

Use this:

What is a Horizontal Line?

A Horizontal Line is a line that goes straight from left to right (or right to left)  parallel to the x-axis of the coordinate plane. All of the points on the line will have the same y-coordinates.

What is a Vertical Line?

A Vertical Line is a line that goes straight up and down Parallel to the y-axis of the coordinate plane. All of the points on the line will have the same x-coordinates.

Commonality:
Any vertical line is defined as perpendicular to any horizontal line.

You have a list of 7 letters, of which 3 are vowels (a, i, e) and 4 are consonants (b, c, d, f). you need to use these letters to form four-letter words in such a manner that they should contain exactly 2 vowels from the given 3 and exactly 2 consonants from the given 4. how many such four-letter words can you form using the seven given letters?

Answers

There are 432 four-letter words you can form using the seven given letters if you have a list of 7 letters.

What are permutation and combination?

A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

We have:

A list of 7 letters, of which 3 are vowels (a, i, e) and 4 are consonants (b, c, d, f).

a, i, e - 2 vowels can be selected in 3C2 ways.

b, c, d, f - 2 consonants can be selected 4C2 ways.

We can arrange 4 alphabets in 4! ways.

Total ways = C(3, 2)×C(4, 2)×4!

= 3×6×24

= 432

Thus, there are 432 four-letter words you can form using the seven given letters if you have a list of 7 letters.

Learn more about permutation and combination here:

https://brainly.com/question/2295036

#SPJ1

If 6:2=8:x, then

a. 6x = 16
b. 6x = 10
c. 2x = 48
d. 2x = 14

Answers

Answer:

6x = 16

Step-by-step explanation:

Given:

[tex]\displaystyle \large{6:2 = 8:x}[/tex]

The equation can be rewritten as:

[tex]\displaystyle \large{\dfrac{6}{2}=\dfrac{8}{x}}[/tex]

Multiply both sides by 2x.

[tex]\displaystyle \large{\dfrac{6}{2}\cdot 2x=\dfrac{8}{x}\cdot 2x}[/tex]

Simplify the equation in simplest form.

[tex]\displaystyle \large{6x=8\cdot 2}\\\\\displaystyle \large{6x=16}[/tex]

Therefore, the answer to this question is 6x = 16.

Please let me know if you have any questions regarding my answer or explanation!

The tables show linear functions representing the cost for purchasing different amounts of broccoli and cauliflower. which function has the greater slope and what does it indicate? the broccoli function has the greater slope, which shows that the cost per pound of broccoli is less than the cost per pound of cauliflower. the broccoli function has the greater slope, which shows that the cost per pound of broccoli is greater than the cost per pound of cauliflower. the cauliflower function has the greater slope, which shows that the cost per pound of cauliflower is less than the cost per pound of broccoli. the cauliflower function has the greater slope, which shows that the cost per pound of cauliflower is greater than the cost per pound of broccoli.

Answers

The function that has a greater slope will be B. The broccoli function has the greater slope, which shows that the cost per pound of broccoli is greater than the cost per pound of cauliflower.

What is a linear function?

It should be noted that a linear function simply means a function whose graph is a straight line.

From the information given, the slope will be:

= (y2 - y1(/(x2 - x1)

= (3.6 - 3)/(3 - 2.5)

= 1.2

The slope for broccoli is 1.2

The slope of the cauli flower will be:

= (3.20 - 2.75)/(3.20 - 2.75)

= 1

Therefore, the broccoli function has the greater slope, which shows that the cost per pound of broccoli is greater than the cost per pound of cauliflower.

Learn more about linear functions on:

brainly.com/question/4025726

#SPJ1

Answer:

B

Step-by-step explanation:

right on 2022 edg

Using a straightedge and compass the ancient Greeks were able to construct many geometric objects

Answers

Step-by-step explanation:

A department has five employees with five jobs to be performed. the time in hours each man will take to perform each jobs is given in the effectiveness matrix .

Given the right triangle, evaluate: sin 0.

Answers

Answer:  B.   5/13

This is the same as writing [tex]\frac{5}{13}[/tex]

==========================================================

Reason:

We have two given sides of this right triangle. Use the pythagorean theorem to find the missing side.

a = 5 and b = 12 are the two known legs; c is the unknown hypotenuse

[tex]a^2+b^2 = c^2\\\\c = \sqrt{a^2+b^2}\\\\c = \sqrt{5^2+12^2}\\\\c = \sqrt{25+144}\\\\c = \sqrt{169}\\\\c = 13\\\\[/tex]

The hypotenuse is exactly 13 units long. This is a 5-12-13 right triangle.

Now we can compute sine of theta

[tex]\sin(\text{angle}) = \frac{\text{opposite}}{\text{hypotenuse}}\\\\\sin(\theta) = \frac{5}{13}\\\\[/tex]

This points us to choice B as the final answer.

----------------

Extra Info (optional)

5/12 is the value of tan(theta) since it's opposite/adjacent12/5 is the value of cot(theta), the reciprocal of tangent12/13 is the value of cos(theta), because cos = adjacent/hypotenuse

Determine the value of X

AB is the mid segment of triangle LMN. Determine the value of X

Answers

Answer:

B.  4

Step-by-step explanation:

Since ,AB is the mid segment of triangle LMN

Then

[tex]\Longleftrightarrow AB=\frac{MN}{2}[/tex]

[tex]\Longleftrightarrow x+8=\frac{5x+4}{2}[/tex]

[tex]\Longleftrightarrow 2\times(x+8)=5x+4[/tex]

[tex]\Longleftrightarrow 2x+16=5x+4[/tex]

[tex]\Longleftrightarrow 16-4=5x-2x[/tex]

[tex]\Longleftrightarrow 3x=12[/tex]

[tex]\Longleftrightarrow x=\frac{12}{3}=4[/tex]

Use completing the square to rewrite the function in vertex form. f(x)=x2+6x−5

Answers

Answer:

f(x) = (x + 3)² - 14

Step-by-step explanation:

f(x) = x² + 6x - 5

To complete the square

add/subtract ( half the coefficient of the x- term)² to x² + 6x

f(x) = x² + 2(3)x + 9 - 9 - 5

     = (x + 3)² - 14 ← in vertex form

The function in vertex form is f : x → (x + 3)² - 14.

To convert the equation.

f : x → x² + 6x - 5 into the vertex form, you will need to complete the square.

First, you will need to add and subtract the square of half of the coefficient of the x term, which is (6/2)² = 9.

This will give you the equation.

f : x → x² + 6x - 5 + 9- 9

Next, you will need to factor the left side of the equation,

f : x → (x² + 6x + 9) - 5 - 9

Now, you can see that the left side of the equation is the square of

(x + 3)² so you can rewrite it as:

f : x → -(x + 3 )² - 5 - 9

Finally, you can simplify the right side of the equation to get:

f : x → (x + 3)² - (5 + 9)

f : x → (x + 3)² - 14.

Therefore, the vertex form is f : x → (x + 3)² - 14.

Learn more about function here:

https://brainly.com/question/14467153

#SPJ2

Which of the following is most likely the next step in the series?

Answers

Answer:

A

Step-by-step explanation:

has more arrows coming out

the reason it's not D is because it is going in a red-blue pattern not red-red

hope that helps :)

Answer:

A

Step-by-step explanation:

red blue red ??? and 1 arrow, 3 arrows, 5 arrows so next is blue 7 arrows

The equation of a circle is given below:

x squared minus 4 x plus y squared minus 6 y minus 7 equals 0

Identify the center and radius of the circle.

Group of answer choices

Center: left parenthesis 2 comma 3 right parenthesis
Radius: 20

Center: left parenthesis 4 comma minus 6 right parenthesis
Radius: 2 square root of 5

Center: left parenthesis negative 4 comma 6 right parenthesis
Radius: 20

Center: left parenthesis 2 comma 3 right parenthesis
Radius: 2 square root of 5

Answers

Given:

The equation of the circle is

We need to determine the center and radius of the circle.

Center:

The general form of the equation of the circle is

where (h,k) is the center of the circle and r is the radius.

Let us compare the general form of the equation of the circle with the given equation  to determine the center.

The given equation can be written as,

Comparing the two equations, we get;

(h,k) = (0,-4)

Therefore, the center of the circle is (0,-4)

Radius:

Let us compare the general form of the equation of the circle with the given equation  to determine the radius.

Hence, the given equation can be written as,

Comparing the two equation, we get;

Thus, the radius of the circle is 8

Which equation represents a line that passes through (5’1) and has a slope of 1/2?

Answers

Answer:

third one passes through the slope .

Answer:

Step-by-step explanation:

y - 1 = 1/2(x - 5)

y - 1 = 1/2x - 5/2

y - 2/2 = 1/2x - 5/2

y = 1/2x - 3/2

Option 3

3. Eden has completed 7⅝ laps of a 10 lap race How many more laps does she still need to run?​

Answers

eden must run 2 3/8 laps to complete the race.

How to calculate the laps that Eden is missing?

To calculate the laps that Eden is missing, we must perform the following operation:

We must take into account that he has already completed 7 laps and a segment of the eighth lap that is equivalent to 5/8, that is to say that he has 3/8 to complete the eighth lap.

On the other hand, once he completes the eighth lap, he will have 2 full laps left to finish the race. Due to the above, it can be stated that it is missing 2 3/8 laps.

Learn more about racing in: https://brainly.com/question/1064477

#SPJ1

solve pls brainliest

Answers

36 is 45% of 80
36/80 multiple both nominator and denominator by 100/100.
If using a calculator simply 36 divided by 80 and multiply by 100 giving you 45%

Tran is solving the quadratic equation 2x2 – 4x – 3 = 0 by completing the square. His first four steps are shown in the table.

A table listing the first few steps in deriving the quadratic formula
In which step did Tran first make an error?

Answers

The solution to the quadratic equation 2x² - 4x - 3 = 0 is x = 1 ± √2.5

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Solving the polynomial using completing the square:

2x² - 4x - 3 = 0

First divide through by 2:

x² - 2x - 3/2 = 0

add 3/2 to both sides:

x² - 2x - 3/2 + 3/2 = 0 + 3/2

x² - 2x = 3/2

add the square of half the coefficient x to both sides:

x² - 2x + 1 = 3/2 + 1

(x - 1)² = 2.5

taking square root:

x - 1 = ±√2.5

x = 1 ± √2.5

The solution to the quadratic equation 2x² - 4x - 3 = 0 is x = 1 ± √2.5

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Answer: Step 3

Step-by-step explanation: this is the right answer on the edge, hope this helps!


Suppose you and your friends form a band and you want to record a demo. Studio A rents for $75 plus $75 an hour and Studio B
rents for $150 and $50 an hour. Let t= the number of hours and c = cost.
Part A
Write a system of equations to represent the cost at each studio.
Part B
Solve the system of equations from Part A. Explain your method.
Part C
Explain what the solution to the system means in terms of where your band will rent a studio.

Answers

Answer:

Step-by-step explanation:

Studio A rents for $75 plus $75 an hour .

Studio B rents for $150 and $50 an hour.

Let t = the number of hours and c = cost.

Part A

Write a system of equations to represent the cost at each studio.

Studio A: c = 75 +75·t

Studio B: c = 150 +50·t

Part B

Solve the system of equations from Part A. Explain your method.

We solve the system of equation using substitution method, where we substitute c in the first equation with 150 +50t.

150 +50·t = 75 +75·t, subtract 75 and 50t from both sides

   150 -75 = 75t -50t, combine likes terms

           75 = 25t, divide both sides by 25

             3 = t

Now we know that t = 3 so we find c by substituting t with 3 in the second equation.

c = 150 +50·t

c = 150 +50·3

c = 300

The solution of the system of equations is c = 300 and t = 3

Part C

Explain what the solution to the system means in terms of where your band will rent a studio.

The solution of the system of equation tells us that if we rent either studio A or B for 3 hours will pay the same price $300.

The price will be different if we rent studio A then studio B if we rent it for a different amount of time than 3 hours.

Latoya created a factor tree and wrote the prime factorization of 90 shown below.

Answers

Answer:

it’s b

Step-by-step explanation:

the answer is 2x3x3x5, but it’s the same thing when you put an exponent of two on a 3.

Hope it helps

Sry if I’m wrong

She should have included an exponent of 2 on the 3


Expand.
Your answer should be a polynomial in standard form. WILL GIVE BRAINLIEST AND BIG POINTS

Answers

Answer:

-q^2-q+72

Step-by-step explanation:

We can use the FOIL (First Outer Inner Last) method for this. First, multiply 9*8 (72). Then, multiply 9*-q(-9q). After that, multiply q*8 (8q). Finally, multiply q*-q(-q^2). Arrange the different terms:

-q^2-9q+8q+72

Finally, combine like terms:

-q^2-q+72

Hope this helps!

Part E

Use the table showing Manuel's and Gretchen's data to determine the mean, median, standard deviation, and
interquartile range for each data set. Use this information to complete the second table. Use the graphing tool to
determine the value of standard deviation.

Answers

The mean, median, standard deviation, and interquartile range for each data set is given below.

What is the definition of Interquartile Range (IQR)?

When arranged from lowest to highest, the IQR represents the central 50% of values.

Find the median (middle value) of the lower and higher half of the data to get the interquartile range (IQR).

These are the quartile 1 (Q1) and quartile 3 (Q3) values (Q3). The difference between Q3 and Q1 is the IQR.

What are the measures of central tendency for Manuels Data?

Using the statistical tool, the following were arrived at:

Standard Deviation = 3.13961Mean = 8Median = 8IQR = Q3-Q1 = 10 - 6 = 4

What are the measures of central tendency for Grethcen's Data?

Using the statistical tool, the following were arrived at:

Standard Deviation = 4.68737.Mean = 9.6Median = 9IQR = IQR = Q3-Q1 = 12 - 7 = 5.

See the respective Histograms attached.

Learn more about mean at:

https://brainly.com/question/1136789

#SPJ1

part 3 to the please help question sorry im asking so many questions

Answers

Answer:

the answer would be 6,600ft

Step-by-step explanation:

I hope this helps!!

Which statement about ABCD isn’t true

Answers

Answer:

The answer is B. AC = BD.

Step-by-step explanation:

ABCD is given as a parallelogram. Most of the line is given to be parallel.

AB = CD and BC = AD are told that they are in a parallel line to each other.

The line inside the parallelogram is yet to be said if they equal each other, thus, statement B. AC = BD must be false.

C is not true c is not true

Please help :)))))))))))))

Answers

Answer:

\frac{9}{20} (or 9/20, if this doesn't show up the right way in my answer.)

Step-by-step explanation:

Fist what we'll do here is divide 1000 by 450. 1000÷450=2\frac{2}{9} (2/9, if this doesn't show up the right way either).

Then, we'll apply the inverse formula. In case you've forgotten, the inverse of a number is what you have to multiply a number by to get 1. The inverse of 2/9 (too lazy to put it in that form anymore) is 0.45, or 9/20.

If that doesn't work, I might be interpreting this incorrectly.

Here.

Answer:

0.05, or 1/20

Step-by-step explanation:

So, we have the fraction. we can simplify it to 20/9, making the numerator 20. As previously stated, the inverse of a number is what you have to multiply a number by to get 1. So, 1÷20=0.05

Let me know which one works!

Warmest regards,

Sanjana

Professional 6th grader and quantum physics lover

Solve the following system of equations by substitution. Show all steps.
f (x) = -x^{2} + 2x +3
g (x) = -2x + 3

Answers

Answer:

Given system of equations:

[tex]\begin{cases}f(x)=-x^2+2x+3\\g(x)=-2x+3\end{cases}[/tex]

To solve by substitution, equate the equations and solve for x:

[tex]\begin{aligned}f(x) & = g(x)\\\implies -x^2+2x+3 & = -2x+3\\-x^2+4x & = 0\\x^2-4x & = 0\\x(x-4) & = 0\\\implies x & = 0\\\implies x-4 & = 0 \implies x=4\end{aligned}[/tex]

Therefore, the x-values of the solution are [tex]x = 0[/tex] and [tex]x = 4[/tex].

To find the y-values of the solution, substitute the found values of x into the functions:

[tex]f(0)=-(0)^2+2(0)+3=3[/tex]

[tex]g(0)=-2(0)+3=3[/tex]

[tex]f(4)=-(4)^2+2(4)+3=-5[/tex]

[tex]g(4)=-2(4)+3=-5[/tex]

Therefore, the solutions to the given system of equations are:

[tex](0, 3)[/tex] and [tex](4, -5)[/tex]

Which statement below best describes whether or not the triangles are similar and
why?
A. ∆XXXXXX ~ ∆TTTTTT by AA similarity.
B. ∆XXXXXX ~ ∆TTTTTT by ASA similarity.
C. ∆XXXXXX ~ ∆TTTTTT by SSS similarity.
D. There is not enough information to determine similarity.

Answers

The answer is c I’m 90% sure

3 substracted from 9 times 2 and 5 is added​

Answers

Answer:

20

Step-by-step explanation:

It is because 9x2=18

3 subtracted from 18 is 15

15+5=20

please mark brainliest

Please help, its urgent. (Question Below)

Answers

The highest common factor of the numbers 210 and 308 is 4.

What is the highest common factor?

The highest factor of the two numbers which divides both the numbers is called as greatest common factor or HCF.

The highest common factor will be calculated by finding the factors of the two numbers. The factors of the two numbers are as follows:-

308   =  2 x  2   x  7  x  11

210   =  2  x  2   x  3  x  17

We can see that the 2  x  2  =  4 is the highest factor which is common between the two numbers 210 and 308. So 4 is the HCF which can divide both the numbers 210 and 308.

Therefore the highest common factor of the numbers 210 and 308 is 4.

To know more about HCF follow

https://brainly.com/question/219464

#SPJ1

Find the value of (8 × 10³)²

Answers

Answer:

64 × [tex]10^{6}[/tex]

Step-by-step explanation:

(8 × 10³)² = (8 × 10³)(8 × 10³)
               = 8 × 10³ × 8 × 10³
               = 64 × [tex]10^{6}[/tex]

Answer:

64000000

Step-by-step explanation:

Find the value of (8 × 10³)²

(8 × 10³)² =

(8 × 1000)² =

8000² =

64000000

Ax -c=bx+d solve for x

Answers

Answer:

[tex] x = \dfrac{c + d}{a - b} [/tex]

Step-by-step explanation:

ax - c = bx + d

ax - bx = c + d

x(a - b) = c + d

[tex] x = \dfrac{c + d}{a - b} [/tex]

Find the volume of the pyramid

Answers

Step-by-step Explanation:

the volume of a pyramid is:

volume = (1/3) • base_area • height

(area = length • width)

(area) • (height) = (volume)³

Example:

area = 12cm² (12 cm squared)

height = 4cm

12 • 4 = 48cm³ (48 cm cubed)

Answer:

area: 6 • 8 = 48(1/2) = 24cm²

height: 12

volume: 24 • 12 = 288cm³(1/3) = 96cm³

Other Questions
An Iowa farmer grows wheat and corn on his farm. This year, he planted 215 acres of corn. He planted 60 fewer acres of wheat than of corn this year. How much wheat did the farmer plant this year? Which place does the home of your ancestors? refer to?What is jada response to nia and emily disapproval what is the back bone of history What physical disk oriented performance counter should be used to determine the number of requests waiting to be processed by a disk What problems does the destruction of the rainforest cause? d) habitat destruction um new plants and animals reduction in production of oxygen soil erosion and flooding due to loss of vegetation un destruction of habitat and culture of the amazon natives in decrease in carbon dioxide in the air Chandler wants to buy a bikethat costs $345. He has a job thatpays an hourly wage of $6. Heneeds to pay back $35 that heborrowed from his mom. Howmany hours does Chandler need towork to have enough money topurchase the bike? species which share similar DNA and similar anatomical strutures may have evolved from a common ancestor true or false WILL MARK BRAINLIEDT If the length of an arc of a circle of radius 7 is approximately 10.99 cm. What is the measure of the central angle associated with the arc? Use 3.14 for . Give your answer in degrees and radians (approximate to two decimals and exact). Write 0.15 as a fraction in the simplest form. a car takes 125 ft to brake from 60 to 0 mph. Assume that the acceleration of the Prius is constant while braking. Find how long it takes for the Prius to come to a stop. Long problems begin on the next page MARKING BRAINLIEST!!!!1. Describe the impact drought had on West Africa. 2. Explain the positive and negative impacts of trade on the Kingdoms of Axum and Kush. 3. Explain the impact of cultural diffusion on the spread of different religions across Africa. 4. Choose two geographical features to visit in Africa. Tell about the feature and why would you visit?5. The Song dynasty impacted education through the invention of movable type. Choose and describe a modern-day invention that has a similar influence. 6. How did the mining of gold and planting of cotton impact the economy and ecosystem in West Africa?7. Rank the Mongol leaders from least important to most important based upon what you learned in the lesson. Explain the rank of each person and the reason for their ranking.8. The module provides various examples of how ecosystems can be destroyed by humans and natural disasters. Describe one way an ecosystem can be destroyed by humans AND one way it can be destroyed naturally. Select the correct answer.If pinecones are placed in water, they close up. But they open up in warm and dry conditions. How do pinecones benefitfrom this characteristic? A. It helps carry out photosynthesis efficiently.B. It protects their seeds from unfavorable conditions,C. It allows the plant to mature for reproduction.D. It helps the plant take in nutrients from the environment.i made this a question bc it doesn't make sense from anybody else's but i just got the right answer its B. Please help!!!! 1. How did Southern slaves most commonly express their anger with being enslaved? a. By establishing the Underground Railroad and protecting runaway slaves. b. They would break farm tools and then act like they did not know how the breakage happened. c. Organized rebellions such as the Denmark Vesey Rebellion and Nat Turners Rebellion. d. By filing lawsuits to gain their freedom; just like Dred Scott. Why do the detectives say they need the dress? for a date for a dance for an evening out Im studying for a test, could you help me with A, B, and C? (image below) Read the excerpt from Warriors Don't Cry.The announcer said it was 7:55 as Mama squeezed into a parking space, and we settled ourselves quietly for a moment, trying to identify the buzzing noise that seemed as if it were all around us. It resembled the sound of crowds at my high school football games. But how could that be? The announcer said there was a crowd, but surely it couldn't be that big.Which word from the excerpt creates mood?settledbuzzingresembledgames what are the advantages of using a vpn? What is the largest species of shark in the world today?. Can someone help me with this please Find the lateral area of the prism. 8cm 6cm, I 1 13cm I 10cm Lateral Area = [?]cm 2008-2012 International Academy of Science, All Rights Reserved. Aid Enter