Linear equation in slope intercept form

Linear Equation In Slope Intercept Form

Answers

Answer 1

Given:

The table of values of a linear function.

To find:

The equation of linear function in slope intercept form.

Solution:

The slope intercept form of a linear function is:

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

Where, m is the slope and b is the y-intercept.

If a linear function passes through two point, then the equation of the linear function is:

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

Consider any two points from the given table. Let the two points are (-6,12) and (-5,14). So, the equation of the linear function is:

[tex]y-12=\dfrac{14-12}{-5-(-6)}(x-(-6))[/tex]

[tex]y-12=\dfrac{2}{-5+6}(x+6)[/tex]

[tex]y-12=\dfrac{2}{1}(x+6)[/tex]

[tex]y-12=2x+12[/tex]

Adding 12 on both sides, we get

[tex]y-12+12=2x+12+12[/tex]

[tex]y=2x+24[/tex]

Therefore, the slope intercept form for the given linear function is [tex]y=2x+24[/tex].


Related Questions

¿Cuántas cifras tiene el número quinientos cincuenta y cinco mil? Respuesta: ____________ CM DM UM C D U NÚM. DE CIFRAS

Answers

Answer:

6 cifras.

Step-by-step explanation:

Siempre que tengamos un numero que termina en "mil", entonces la primer parte la escribimos y luego ira una coma:

por ejemplo, en "ciento once mil trecientos catorce"

lo separamos en:

"ciento once mil" y "trecientos catorce"

y lo escribimos como:

"ciento once" , "trecientos catorce"

111,314

Ahora que definimos esto, vamos a nuestro problema.

Tenemos el numero "quinientos cincuenta y cinco mil"

El cual podemos escribir como:

555,000

Ahora simplemente podemos contar las cifras, tenemos 6.

las cuales son:

Cientos de miles = CM = 5

Decenas de miles = DM = 5

Un miles = UM = 5

Cientos = C = 0

Decenas = D = 0

Unidades = U = 0

A bag contains 4 red marbles and 2 white marbles. A marble is selected, returned to the bag, and then another marble is selected. Find P(red, then white).

Answers

Yessss this I’m waffling because I need to answer quiestionnsss

Answer:

2/9

Step-by-step explanation:

Someone help please! <3

Answers

Answer:

I'm pretty sure it's D

Step-by-step explanation:

I could be wrong tho

The graph of f(x)=cos(x) is transformed into a new function, g(x), by stretching it vertically by a factor of 3 and shifting it 2 units up.

What is the equation of the new function g(x)?

Enter your answer in the box
g(x)=

Answers

Answer:

I think 3cosx+2 would be g(x)

In 1990, the rate of change of the world population was approximately 0.09125 billion per year (or approximately 1 million people every four days). The world population was estimated to be 5.3 billion in 1990. Use the linear model to predict the world population in 2025. a. According to the model, in 2025 the world population will be 84,937,500,000 b. According to the model, in 2025 the world population will be 8,493,750,000 c. According to the model, in 2025 the world population will be 5,302,607,000 d. According to the model, in 2025 the world population will be 8,037,500,000

Answers

Answer:

According to the model, in 2025 the world population will be 8,493,750,000

Step-by-step explanation:

Rate at which population was growing per year = 0.09125 billion

Initial population figure in 1990 = 5.3 billion

World population prediction in 2010 ;

Predicted population figure :

Initial population + (population growth value per year * number of years)

number of years = (2025 - 1990) = 35 years

Predicted population figure in 2025 :

5.3 + (0.09125 * 35)

5.3 + 3.19375

= 8.49375 billion.

8,493,750,000 by 2025

Answer:

b

Step-by-step explanation:

edge 2021

Factor the following polynomial 14x^2 - 35x

Answers

Answer:

The binomial 14[tex]x^{2}[/tex] - 35x can be factored as 7x(2x+5)

Step-by-step explanation:

When factoring, you want to factor each constant or variable by their greatest common factor (or GCF). Since [tex]14x^{2}[/tex] and [tex]35x[/tex] has a greatest common factor of 7x, factor each term by 7x and you'll get [tex]7x(2x+5)[/tex].

2. Will the Science Club meet their goal if they
sell 30 T-shirts and 90 key chains? Explain in
terms of the graph of the inequality

Answers

Answer:

hope it helps

Step-by-step explanation:

Answer:

No, the Science Club will only make $480. On the graph, the point  (,)                                       is below the line, so it is not a solution of the inequality.

Step-by-step explanation:

just answered this, and this was the correct answer :) !

D'wayne plans to wallpaper 72.5% of a 60-square-foot wall. how many square feet of the wall does D'wayne plan to wallpaper? find 72.5% of 60.

Answers

Answer:

D'wayne plans to wallpaper 43.5 square feet of the wall.

Step-by-step explanation:

72.5% = 72.5/100 = 0.725

mulitiply that by 60

= 43.5 square feet

Determine the zeros of the quadratic function
f(x) = (x + 6)^2 – 9

Answers

-9 and -3

i hope this helps

[tex]{ \huge{ \underline{ \rm{Given}}}}[/tex]

[tex]{ \large{ \sf{f(x) = (x + 6) {}^{2} - 9 = 0}}}[/tex]

[tex]{ \large{ \bf{ \underline{Formula = { \underline{a {}^{2} - b {}^{2} = (a + b)(a - b)}}}}}}[/tex]

[tex]{ \large{ \sf{(x + 6) {}^{2} - (3) {}^{2} = 0}}} [/tex]

[tex]{ \large{ \sf{(x + 6 + 3)(x + 6 - 3) = 0}}}[/tex]

[tex]{ \large{ \sf{(x + 9)(x - 3) = 0}}}[/tex]

[tex]{ \large{ \therefore{ \sf{Zeros = x ={ \boxed{ \sf( - 9 \: \: and \: - 3)}}} \: \: Ans.}}}[/tex]

A person places $6520 in an investment account earning an annual rate of 2.5%,
compounded continuously. Using the formula V = Pert, where V is the value of the
account in t years, P is the principal initially invested, e is the base of a nfitural
logarithm, and r is the rate of interest, determine the amount of money, to the nearest
cent, in the account after 3 years.

Answers

Given:

Principal value = $6520

Annual rate of interest = 2.5% compounded continuously.

Time = 3 years

To find:

The amount of money after three years.

Solution:

Formula for the value of the amount is:

[tex]V=Pe^{rt}[/tex]

Where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest.

Putting [tex]P=6520,r=0.025,t=3[/tex], we get

[tex]V=6520e^{(0.025)(3)}[/tex]

[tex]V=6520e^{0.075}[/tex]

[tex]V=7027.80466[/tex]

[tex]V\approx 7027.80[/tex]

Therefore, the amount of money after three years is about $7027.80.

Find the measure of angle A If Angle A = 2x+18 and angle C = 3x+12

Answers

Answer:

Below in bold.

Step-by-step explanation:

2x + 18 + 3x + 12 = 180  (property of a cyclic quadrilateral).

5x = 180 - 18 -12

5x = 150

x = 30

So m < A = 2(30)+18

= 78 degrees.

PLEASE HELP!!! ITS DUE TODAY AND IM THE ONLY ONE WHO NEEDS TO FINISH IT

Answers

Answer:

1. C  2.H  3.G  4.E  5.B  6.D  7.A

Step-by-step explanation:

1. C  

2.H  

3.G  

4.E  

5.B  

6.D  

7.A

Leave a like if this answered your question.

if g(x)=11x+3 find g(x+7) and g(x)+g(7).

Answers

Answer:

g(x + 7) = 11x + 80

g(x) + g(7) = 11x + 83

Step-by-step explanation:

g(x + 7) = 11(x + 7) + 3 = 11x + 77 + 3 = 11x + 80

g(x) + g(7) = 11x + 3 + 11(7) + 3 = 11x + 3 + 77 + 3 = 11x + 83

Guys help me plsss :((((

Answers

Answer:

2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

I need help checking over this​

Answers

Answer:

3

Step-by-step explanation:

2xy⁴ + 2x²y - 3y² + 10x³

In descending order

2xy⁴ + 10x³ + 2x²y - 3y²

Now, In this polynomial the second term is 10x³ and it's degree is 3

Thus, The answer is 3

-TheUnknownScientist

what is “four is an even number” in mathematical sentence?

Answers

Answer:

4 is even; 4 can be divided by 2 and the quotient is whole.

Step-by-step explanation:

If a number is even, it can be divided by 2 and the quotient is a whole number. 4 can be divided by 2 and the quotient is whole, so we can say 4 is even.

The given statement is true.

The given statement is “four is an even number”.

What is an even number?

Even numbers are those numbers that can be divided into two equal groups or pairs and are exactly divisible by 2. For example, 2, 4, 6, 8, 10, and so on.

The statement “four is an even number” is true.

Therefore, the given statement is true.

To learn more about an even number visit:

https://brainly.com/question/13015902.

#SPJ1

identify the arc length of TV◠ in terms of π.

Answers

Answer:

3.67

Step-by-step explanation:

SOMEBODY PLZ ANSWER!
This graph is from a publication of the Centers for Disease Control and Prevention (2017). The y-axis shows the percentage living with diabetes.

The Board of Directors of a medical school wants to use the trend to predict the percentage in 2020 so that they can help train enough doctors to handle the growing numbers. Use a visual estimate of the line of best fit to make a prediction. Do you think your estimated line of best fit will be accurate? Explain why or why not.

Answers

Answer:

My estimate is around 16 million cases by 2020

Step-by-step explanation:

I used the formula of rise over run

(The "Rise over Run" formula is y2-y1/x2-x1)

I used 2010's total of cases 22 million and 1960's 4 million

Now I subtract 2010 and 1960

Which is 40 or 4 in this case

Then I subtracted 22 million by 4 million which is 5.5

Round 5.5 to 6 (Since it is an estimate)

Divide 6 and 4

6/4= 1.5 which I rounded to 2 million now I start at 1960's 4 million case and add 2 million for 10 year or multiply 6 by 2 which is 12 and add it by 4 which is 16

Hence 16 million

Hope this helps

6 in.
Find the volume of this
Cylinder.
10 in.
cubic inches
Volume of Cylinder = ar2 x h
Use 3.14 for a.
Do NOT round your answer.

Answers

Answer:  1130.4

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

Work Shown:

r = 6 = radius

h = 10 = height

pi = 3.14 approximately

[tex]V = \pi*r^2*h\\\\V = 3.14*6^2*10\\\\V = 1130.4[/tex]

The volume of the cylinder is approximately 1130.4 cubic inches.

Which of these strategies would eliminate a variable in the system of equations?
10x + 4y = -2
52 - 2y = 2
Choose all answers that apply:
A
1
Multiply the top equation by
2
then add the equations.
Add the equations.
Multiply the bottom equation by 2, then subtract the bottom equation from the top equation.

Answers

The answer to this is c

Find the area of the triangle.

A. 90m2
B. 67.5m2
C.45m2
D.33m2

Answers

Answer:

Step-by-step explanation:

Answer:

45 m²

Step-by-step explanation:

6 x 15 x 0.5 = 45

Graph the system. Tell whether the system has one solution, no solution, or infinitely many solutions. y = –2x + 1 y = –2x – 3

Answers

Answer:

No solution.

Step-by-step explanation:

y = -2x + 1

y = -2x + 3

y can't be equal to two different values at once.

For Bill's birthday his mom is bringing donuts to school.
She has a coupon to get 2 dozen donuts for $8.00.
How much would just one dozen donuts cost at this price?
Let c represent the cost of the donuts.
Equivalent ratios:
One dozen donuts would cost

Answers

One dozen donuts would cost $4.00

What is a simpler form of (3x+1)(x+4) ?

Answers

Answer:

That is the simplest form.

Step-by-step explanation:

[tex]3x^2+13x+4[/tex] = (3x+1)(x+4)

Answer:

The equation is already simplified!

Step-by-step explanation:

credits to the user jlinnartz for pointing out my mistake! kudos to the explanation above!!! :)

Please help!!
I don’t know what to do

Answers

Answer:

x = 14.4

Step-by-step explanation:

Similar means that the figures are proportional to each other. Because of this, we can form a problem. [tex]\frac{9}{5}[/tex] (the short side lengths) = [tex]\frac{x}{8}[/tex] (the long side lengths). Now we can solve this by cross-multiplying. If we multiply 9 · 8 we get 72, and 5 · x is 5x. 72 = 5x. Now divide both sides by 5. 72 ÷ 5 = 14.4. Therefore, x should be equal to 14.4. Does this make sense?

Solve the system using elimination show all work for full credit.
X + 3y = -14
4x - 3y = 2
Help me

Answers

is it two separate problems or just you simplify both of the equations together

x = −12/5 and y = −58/15

Step-by-step explanation:

x+3y=−14

4x−3y=2

Add these equations to eliminate y:

5x = −12

Then solve 5x = −12 for x:

5x = −12

5x/5 = −12/5 (Divide both sides by 5)

x = −12/5

Now that we've found x let's plug it back in to solve for y.

Write down an original equation:

x + 3y = −14

Substitute −12/5 for x in x + 3y = −14:

−12/5 + 3y = −14

3y + −12/5 = −14

(Simplify both sides of the equation)

3y + −12/5 + 12/5 = −14 + 12/5

(Add 12/5 to both sides)

3y = −58/5

3y/3 = −58/5/3

(Divide both sides by 3)

y = −58/15

(3x-17-4x^2)-(8x^2-5x+ 13)

Answers

Answer:[tex]-12x^{2} + 8x - 30[/tex]

Step-by-step explanation:

Simplify the expression.

Colton sold a total of 28 tee shirts and sweatshirts as a fundraiser for his football team. If tee shirts cost 12 dollars each and sweatshirts cost 20 dollars each and he raised a total of 424 dollars how many tee shirts did he sell?

Answers

Answer:

11 sweatshirts and 17 t shirts

Step-by-step explanation:

[tex]t + s = 28\\12t = 20s = 424[/tex]

Step one: cancel out one variable. In this one, t.

[tex]-12(t + s = 28)\\-12t -12s =-336[/tex]

Now that we have that, subtract that from the other expression.

[tex]12t + 20s = 424\\-12t -12s = 336[/tex]

You should get:

[tex]8s = 88\\ s = 11[/tex]

Plug s in any expression

[tex]t + 11 = 28[/tex]

You should know where to go from there, I'm lazy :p

Then t = 17

GOod Luck!!!!

Colin is training for a triathlon and needs to swim a certain distance for today's workout. If he swims at the rec center pool, he will complete a 264-yard warmup and then swim laps in a lane that is 34 yards long. If Colin swims at the indoor pool at his gym, he will complete a 120-yard warmup, plus a main set that consists of 35 yards per lap. If Colin swims the correct number of laps, he can complete the same distance in either pool. How long will Colin's workout be in total? How many laps will that take?

Answers

Answer:

Jason is training for a triathlon and needs to swim a certain distance for ... If he swims at the rec center pool, he will complete a 200-yard warmup and then swim laps in a lane that is 20 yards long. If Jason swims at the indoor pool at his gym, he will complete a ... How long will Jason's workout be in total? 1.

Step-by-step explanation:

A window is in the shape of a kite. Caleb wants to apply a layer of plastic film on the top half of the window so that the glass appears crackled. What are the dimensions of the layer of film he will apply?

Show Your Work And Hurry I Have 30 Minutes. A kite is broken into 2 triangles. Each triangle has a base of 18 inches and a height of 7 inches.
9 inches in width and 7 inches in height
9 inches in width and 14 inches in height
18 inches in width and 7 inches in height
18 inches in width and 14 inches in height

Answers

Answer:

C) 18 inches in width and 7 inches in height.

Answer:

C.

Step-by-step explanation:

hope it helps

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