Write the equation of the line in slope intercept form that passes through the point (-6, 1) and has a slope of 1/6.

Answers

Answer 1

Answer:

y = 1/6x + 2

Step-by-step explanation:

point: (-6, 1)

slope 1/6

Our standard equation can be in the slope-intercept form: y = mx + b

m is the slope, which we know if 1/6. Plug this into our equation.

y = 1/6x + 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 point (-6, 1). Plug in the x and y values into the x and y of the standard equation.

1 = 1/6(-6) + b

To find b, multiply the slope and the input of x(-6)

1 = -1 + b

Now, add 1 from both sides to isolate b.

2 = b

Plug this into your standard equation.

y = 1/6x + 2

This is your equation.

Hope this helps!


Related Questions

Which phrase best describes the relationship indicates by the scatter plotting?​

Answers

Answer:B

Step-by-step explanation:

A bus can hold a total of 60 students. The bus is 73% full how many students are on the bus?​

Answers

Answer:

44

Step-by-step explanation:

so youre looking for 73% of students rite? of means multiplication , you just times 73% by 60

73%*60=43.8

but there cant be point 8 of a person unless theyre missin a couple limbs, so you round up to 44!

hope it helps :)

44
---------------------

The population of cats that are rescued every year is currently 50,000 and declines at a rate of 1.2% every year. This models

Answers

Answer:

Exponential decay

A person invested $370 in an account growing at a rate allowing the money to double every 11 years. How long, to the nearest tenth of a year would it take for the value of the account to reach $720

Answers

Answer:

10.6

Step-by-step explanation:

y=a(2)^t/d

Plug in

720=370(2)^t/11

Divide both sides by 370

1.945945946 = (2)^t/11

Log both

Log(1.945945946) / Log(2)

0.9604716359 = t/11

0.9604716359 x 11 = t

10.56518799 to the nearest tenth is 10.6 = t

It would take 10.6 years for the value of the account to reach $720.

What is an exponential function?

An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.

A person put $370 into an account that grew at a rate that allowed the money to double every 11 years.

As per the question, we can write an exponential function as:

[tex]y=a(2)^{t/d}[/tex]

Substitute the values of y = 720, a = 370 and d = 11 in the above equation:

[tex]720=370(2)^{t/11}[/tex]

Divide both sides by 370

[tex]1.945945946 = (2)^{t/11}[/tex]

Take logarithms on both sides of the equation,

log(1.945945946) / log(2)

0.9604716359 = t/11

0.9604716359 x 11 = t

t = 10.56518799

Rounded to the nearest tenth

t = 10.6

Thus, the required time would be 10.6 years.

Learn more about exponential function here:

brainly.com/question/11487261

#SPJ2

What is the area of the triangle? 4 6 units2​

Answers

4 x 6 x 2 = 24 x 2 = 48 ..

A polynomial function has zeros at 5/2 (multiplicity 2), 3 (multiplicity 1), and 0 (multiplicity 4). Write a function in standard form that could represent this function

Answers

Answer:

-75 x^4 + 85 x^5 - 32 x^6 + 4 x^7

Step-by-step explanation:

[tex](x-5/2)^{2}(x-3)(x-0)^4 =0\\(2x-5)^{2}(x-3)(x)^4 =0[/tex]

Expand and get

-75 x^4 + 85 x^5 - 32 x^6 + 4 x^7

The standard form will be  [tex]X^4(x^4-7x^3+12x^2-\dfrac{35x}{2} +\dfrac{25x^2}{4} +\dfrac{25}{4} =0[/tex]

What will be the standard form of the given expression?

The given expression is

[tex](x-\dfrac{5}{2})^2(x-1)^2(x-0)^4=0[/tex]

[tex](x^2-5x+\frac{25}{4} )(x^2-2x+1)(x^4)=0[/tex]

[tex](x^4-2x^3+x^2-5x^3+10x^2-5x+\dfrac{25x^2}{4} -\dfrac{50}{4} x+\dfrac{25}{4} ) x^4=0[/tex]

[tex]X^4(x^4-7x^3+12x^2-\dfrac{35x}{2} +\dfrac{25x^2}{4} +\dfrac{25}{4} =0[/tex]

Thus the standard form will be  

[tex]X^4(x^4-7x^3+12x^2-\dfrac{35x}{2} +\dfrac{25x^2}{4} +\dfrac{25}{4} =0[/tex]

To know more about Polynomials follow

https://brainly.com/question/15702527

Which expression is equivalent to x + 0.2x

1.2x
0.2x squared
0.2x
1.02x​

Answers

The answer to this expression would be 1.2x

if kya wins the election she will not be continuing to get in touch with her family/friends and now she has to make a decision to help people in need around the world she is 48 hours to decide if she will go or not she need to week to pack and they leave the day after because she says that yes how long would you have with her family/Friends​

Answers

Answer:

47 hours?

Step-by-step explanation:

She would have 47 hours lol

If she says yes then she would have enough time to spend with family and then 1 hour to go?

Show how you found the slope and y-intercept

Answers

Answer:

Slope: [tex]\frac{5}{2}[/tex]

y-intercept: 0

Step-by-step explanation:

First, find the slope. Use two points given to you. In this case, I will use the following:

(x₁ , y₁) = (2 , 5)

(x₂ , y₂) = (4 , 10)

Use the following equation:

slope (m) = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]

Plug in the corresponding numbers to the corresponding variables:

slope (m) = [tex]\frac{10 - 5}{4 - 2}[/tex] = [tex]\frac{5}{2}[/tex]

Note the slope intercept form:

y = mx + b

y = (x , y)

m = slope

x = (x , y)

b = y-intercept

Plug in the slope into m for the equation:

[tex]y = \frac{5}{2} x + b[/tex]

Choose a point to use to find b. In this case, I will use (2 , 5). Plug in 2 for x, and 5 for y:

[tex]5 = \frac{5}{2}(2) + b[/tex]

Simplify. Isolate the variable, b. Note the equal sign, what you do to one side, you do to the other:

[tex]5 = \frac{5}{2}(2) + b\\5 = 5 + b\\5 (-5) = 5 (-5) + b\\b = 5 - 5\\b = 0[/tex]

Y-intercept: 0

Hazel works at The Last Page Booksellers. Her total earnings were $24,000 last year. Hazel
paid $157 in payroll taxes for every $1,000 she earned.
What was Hazel's net income for last year?

Answers

Answer:

Step-by-step explanation:

157x24 = ...

Please Help. Will give Brainliest.

Answers

Answer:

translation.........

The perimeter of a triangle is 51 centimeters. The lengths of its sides are represented by x, x + 2 and x + 4. Find the lengths of all three sides.

Answers

Answer:

sides are 15 cm, 17 cm, and 19 cm

Step-by-step explanation:

x + (x+2) + (x+4) = 51

3x+6 = 51

3x = 45

x = 15

PLS HELP I DONT KNOW THIS ONE ITS URGENT

Answers

Answer:

A. [tex] \frac{UV}{VW} = \frac{ZY}{YX} [/tex]

Step-by-step explanation:

WX, VY, and UZ are parrelel to each other, therefore, base on triangle proportional theorem, the two transversal lines are divided proportionally by the 3 parallel lines.

Thus, we would have the following equation which is true:

[tex] \frac{UV}{VW} = \frac{ZY}{YX} [/tex]

Evaluate 7^2 PLEASE HELP ME

Answers

Evaluate 7^2 = 49
7•7=49

They boost the economy

Answers

Answer:

I think the question is incorrect

Step-by-step explanation:

they boost the economy why is this in mathematics

‍♀️‍♀️

Sydney's car used 1/ 3/5
gallons to travel 6666 miles. How many miles can the car go on one gallon of gas?

Answers

Answer:

Sydney car can go 44.4 miles on gallon

HELPPPPP PLSSSSSS !!!!!!!


Charmaine is having a party. She'll have 4 tables for every 8 guests. Complete the table below showing the number of tables and the number of guests​

Answers

Answer:

Top is 18, Bottom goes 6 for 12, then 7 for 14, then 10 for 20

Step-by-step explanation:

2 guests = 1 table

Divide 8 and 4
Which would be 2 so 2 people for table

Can someone help me

Answers

Answer:

The first one is a right angle (90-degree angle) The second one is an acute and obtuse angle. And the slope is y=2x-3

Step-by-step explanation:

Hope this Helped

First one is a right angle because it is 90 degrees. Second is a acute angle because it is LESS than 90 degrees. Then third is a obtuse angle because it is MORE than 90 degrees

What is the least common denominator of 3/5 and 9/10?​

Answers

Answer:

9/10

Step-by-step explanation:

3/5 = 6/10 = 9/10 = 9/10

I'm not 100% sure of this answer someone please correct me if I'm incorrect.

Answer and explain ILL MARK BRAINLIEST I DONT UNDERSTAND

Answers

First let's reduce the feet to miles

there are 5280 feet in a mile therefore

26400 feet=5 miles

31680 feet=6 miles

Jet A(the first jet) descends 5 miles in 96 miles

Jet B(the second jet) descends 6 miles in 120 miles

We can compare these as fractions to see which is steeper. This can be viewed as slope and the origin (0,0) is the airport.

slope: 6/120=?=5/96

1/20=?=5/96

Now we know that 5/100 =1/20 so 5/96 must be bigger than 5/100 because you are dividing by a smaller number.

so 1/20<5/96

So Jet B is descending steeper than Jet A.

As for linear model, I don't exactly know what your teacher means but I think I actually used the linear model when I'm thinking of steepness as slope in the coordinate plane, I will include a picture.

In this extremely zoomed out graph, you can see the blue line is just slighly higher than the red line(slope as in explanation is way easier to tell) this could be seen as the linear model) :) Hope it helped!

-595-65

Btw they are both negative numbers

Answers

Answer:

-660

Step-by-step explanation:

-595-65=-660

Here you goooo!!!!!!!!!!

What is the answer to -5+(-5r)+10

Answers

Answer:

=−5r+5

Step-by-step explanation:

Let's simplify step-by-step.

−5−5r+10

=−5+−5r+10

Combine Like Terms:

=−5+−5r+10

=(−5r)+(−5+10)

=−5r+5

Answer: -5r+5

Step-by-step explanation: 1rst: Eliminate redundant parentheses

                                               -5+(-5r)+10

                                               -5-5r+10

                                             2nd: Add the numbers

                                                -5-5r+10

                                                5-5r

                                             3rd: Rearrange terms

                                                5-5r

                                                -5r+5

Find the slope of the line that passes through Point A (-1, -6) and Point B (-7, -3), using the formula m= y2-y1/x2-x1.​

Answers

Answer:

Step-by-step explanation:

Given A (-1, -6) and  B (-7, -3)

Slope (m)

= y2-y1/x2-x1

= - 3 + 6 / - 7 + 1

= 3/-6

=-1/2

hope it helps :)

Answer: 3 / -6

Step-by-step explanation:

-3 - (-6) / -7 - - 1 = 3 / -6

The subtraction turns into addition because to “-“ equals “+” and if graphed the points will go up three units and six units to the left

Please Help me, what the answer

Answers

It’s either 1. Or 2. I’m really not sure which one tho so sorry! There’s not enough information given but if I had to guesstimate I would say 1.

NEEd help quickly please!!! The basketball game had 500 people in attendance. If the ratio of Pioneer fans to Lion fans is 15:5, how many MORE Pioneer fans were there? Pls use tape diagram.

Answers

Answer:

Step-by-step explanation:

15(500/20)-5(500/20)

375-125

250

There were 250 more Pioneer fans than Lion fans.

Michael had 3 times as many mangoes as Junior. After eating 8 mangoes. Michael had
twice as many mangoes as Junior. What is the total number of mangoes both boys had at
the beginning?​

Answers

Answer:

Michael: 24

Junior: 8

Step-by-step explanation:

8 is a multiple of 24, meaning if you ate 1/3 of 24 you get 16, which is doubled 8.

What is the measure of angle A?
Enter your answer as a decimal in the box. Round your final answer to the nearest hundredth.

Answers

Answer: 45 degrees

Step-by-step explanation:

Answer is 45 degrees

Can someone please help!!!

Answers

the answer is option 3

Answer: {t| t ≥ 2}

Step-by-step explanation:

3t - 6 ≥ t - 2

-t         -t

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

2t - 6 ≥ -2

   +6    +6

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

2t ≥ 4

t ≥ 2

Can someone explain the washer method in calculus and help me solve this problem?

Answers

Answer:

Step-by-step explanation:

Please help I'm confused with what to put in those boxes

Answers

It is asking how many layers which is 5 because in order to build it it went up 5
and the numbers in each layer is 3 going across
Other Questions
Within a year of the first vape devices being released, the World Health Organization released a warning that __________. A corporation can earn 7.5% if it invests in municipal bonds. The corporation can also earn 8.5% (before-tax) by investing in preferred stock. Assume that the two investments have equal risk. What is the break-even corporate tax rate that makes the corporation indifferent between the two investments How was segregation similar to slavery? A. They were both racist systems that discriminated against African AmericansB. They were both established in the United States ConstitutionC. They both ended after the U.S. Civil WarD. They both ended during the Civil Rights Movement of the 1950s and 60s Which statement best compares the essay's tone to the video's tone?Both the video and the essay have a biased tone.The video's tone is more biased than the essay's tone.Neither the video nor the essay has a biased tone.The essay's tone is more biased than the video's tone. emmanuel spent 20% on his savings on a new video game that cost 40$. how much was in his savings abount to begin with? If you can answer this- god bless you and you are an amazing human being! Fill in the blanks: Correct form of Ser/Estar. (Please ignore the highlighter, it was to mark off part of a previous sentence.) Which number line best represents the solution to the inequality 7x 49 ? 2. An estuary serves as a nursery ground for thousands of species of how is the country of Korea divided at the end of World War II? The country was entirely under the control of the Soviet union the Japanese controlled much of the countries in the world ended the Soviet Union controlled the north well you need United States control the south Question 1 of 10Which object has the most gravitational potential energy?A. A 8 kg book at a height of 2 mB. An 8 kg book at a height of 3 mC. An 5 kg book at a height of 3 mD. A5 kg book at a height of 2 mSUBMIT Which is the most accurate statement concerning the relationship between state and federal regulations Which of the following could be an empirical formula? a C6H12O6 b H2O2 c CH2O d C6H6 tRemediring: Lesreeks 1: Ubuntu: Doen iets vir anderNaam:Datum:1.Kyk na die tabel oor Eiename, Soortname en Abstrakte selfstandigenaamwoorde op bl. 4 in die Leerderboek.Lees die sinne hieronder. Skryf die soorte selfstandige naamwoorde indie regte koloma) Fesito neem met liefde vir Oupa Musoke papajas mark toe.b) Fesito neem met geduld vir Kasiingi hoenders mark toe.c) Fesito neem uit vriendskap vir Kikyo hospitaal toe.EienaamSoortnaamAbstrakte selfstandigenaamwoord2. Skryf die sinne in die teenwoordige tyd.a) Die drie boelies het vir Fesito moeilikheid gegee. In A B C , the measure of angle A is 103 and the measure of angle B is 37 . What is the measure of angle C ? The 6th term of (x^3 1) ^8 3.5 x 10^3 divided by 7 x 10^-2 17 is what percent of 50?Proportion:Solution: Car X traveled 64 miles and consumed 2 gallons of fuel, and Car Y traveled 54 miles and consumed 1.8 gallons of fuel. Which car traveled more miles per gallon? Evaluate three ways in which employment will minimize emotional stress how will you ask a student how to say their name