Write an equation in slope-intercept form for the line that is parallel to the line 6x + 2y = 2 and passes through the point
(-1, 7).

Answers

Answer 1

Answer:

[tex]y=-3x+4[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)Parallel lines have the same slope (m) and different y-intercepts (b)

1) Determine the slope (m)

[tex]6x+2y=2[/tex]

Rearrange this equation in slope-intercept form (so it's easier for us to identify the slope)

Subtract 6x from both sides to isolate 2y

[tex]6x+2y-6x=-6x+2\\2y=-6x+2[/tex]

Divide both sides by 2 to isolate y

[tex]y=-3x+1[/tex]

Now, we can tell clearly that -3 is in the place of m. Therefore, because parallel lines have the same slope, we know that the line we're solving for will also have a slope of -3. Plug this into [tex]y=mx+b[/tex]:

[tex]y=-3x+b[/tex]

2) Determine the y-intercept

[tex]y=-3x+b[/tex]

Plug in the given point (-1,7)

[tex]7=-3(-1)+b\\7=3+b[/tex]

Subtract 3 from both sides

[tex]7-3=3+b-3\\4=b[/tex]

Therefore, the y-intercept of the line is 4. Plug this back into [tex]y=-3x+b[/tex]:

[tex]y=-3x+4[/tex]

I hope this helps!


Related Questions

Show work plz it’s due today

Answers

Answer:

All the sides given in each question can form triangle because the sum of first two side is greater than third side.

Step-by-step explanation:

In question no 2 there should be yes.

Hope this helps u!!

Which value of x is a solution to the equation 13 − 36x2 = −12?

Answers

X=-5/6 and x=5/6 hope I could help.

Marvin earned $2 less than twice the amount he earned last
week. He earned $23 this week. How much did he earn last
week?

Answers

Answer:

2x-2 = 23

2x = 25

x=25/2 = 12.5

Step-by-step explanation:

alg 1 chapter 9 DUE IN LITTERALLY 3 MINUTES see pic for question (ik r=8 i need the radius)

Answers

Answer:

7.99

Step-by-step explanation:

Solving forr

r=

V

π

h

=

1206

π

6

7.99877

Answer:

Step-by-step explanation:

HI OKAY SO ISNT IT JUST

1206 = 6pi r^2

1206/6 =201

SO ITS ABOUT 8 FEET

somebody help me out plz-

Answers

Answer:

Vertex: (2,-2)

Axis of symmetry: x=2

Step-by-step explanation:

The vertex is the maximum or minimum point of a quadratic, which we can see on the graph is (2,-2).

The axis of symmetry is the line about which the graph of the parabola is symmetric, which is the line x=2.

(2,-2) vertex
And 2 is the symmetry

What is the equation of the line that passes through the point (3, 4) and has a slope of 1?​

Answers

Answer:

y = x + 1

Step-by-step explanation:

(3, 4); m = 1

Slope-intercept:

y - y1 = m(x - x1)

y - 4 = 1(x - 3)

y - 4 = x - 3

y = x - 3 + 4

y = x + 1

AREA OF A CIRCLE HELP PLS​

Answers

Answer:

254.34 in²

Step-by-step explanation:

Area of circle = [tex]\pi r^2[/tex]

d = 18 inches, so r = d/2 = 9 inches

Area = 3.14 * 9 * 9

= 254.34 in²

i need help on finals plsssssss

Answers

Answer:

Our rate is, 10:125

Let's make it a unit rate!

Divide by 10 on both sides:

1:12.5

Step-by-step explanation:

She makes 12.50 dollars per hour.

What is the volume of the pyramid in the diagram?
9 cm
height = 3 cm
5 cm
S cm
OA 25 cm3
OB.
75 cm
O C.
105 cm
OD. 135 cm
E.
225 cm

Answers

Answer:

A. 25 cm^3.

Step-by-step explanation:

Volume = 1/3 * area of base * perpendicular height,

= 1/3 * 5^2 * 3

= 5^3

= 25.

The correct option is A. Volume of the pyramid is 25 cm³ which is option A.

What is the volume of the pyramid?

The volume of a pyramid is given by lbh/3. It is also given by the product of the base area and height of the pyramid and then divided by 3.

The base of the pyramid is in the form of a square as all sides are 5 cm. Find the area of the square that is the base area.

5×5=25 cm²

Now multiply 25 by the height of the pyramid which is 3 cm.

25×3=75 cm³

Divide 75 by 3 to find the volume of the pyramid.

75÷3=25 cm³

Thus, the volume of the pyramid is 25 cm³ which is option A.

Learn more about the volume of the pyramid at https://brainly.com/question/17615619

#SPJ2

Which angles are vertical angles?

Answers

Answer:

<DCA and <BCF

Step-by-step explanation:

vertical angles are the opposite angles created by intersecting lines and are congruent. Vertical angles share only a vertex

h(r) = r^2 + 11r - 26
1) What are the zeros of the function?
Write the smaller r first, and the larger r second.
smaller r =
larger r =
2) What is the vertex of the parabola?

Answers

Answer:

you should go to Mathantics.com

Twenty-five percent of the students had forgotten the year of the Declaration of Independence. If 57 students had not forgotten, how many students were there in all

Answers

Answer:

76,

Step-by-step explanation:

If you divide 57 by 3, you get 19. If you times 19 by 4 that is the total number of students there were in all.


Two sides of a parallelogram are 65 feet and 87 feet. The measure of the angle between these sides is 52°. Find the area of the parallelogram to the nearest square foot.

Answers

Answer:

Area of the parallelogram is approximately 4,456.2 square feet

Step-by-step explanation:

The lengths of the sides of the parallelogram are 65 feet and 87 feet

The measure of the angle between the sides, Y = 52°

The formula for finding the area of a parallelogram is given as follows;

Area of a parallelogram = A·B·sin(Y)

Where;

'A' and 'B' are the length of the parallel sides and 'Y' is the measure of the angle between them

Let 'A' and 'B' represent the 65 feet and the 87 feet respectively, we get;

Area of the parallelogram = 65 ft. × 87 ft. × sin(52°) ≈ 4,456.2 ft.²

Marking brainliest

Please help

Answers

Answer:

10.3

Step-by-step explanation:

. The product of two integers is -84. One of them is 4, find the other integer.​

Answers

Answer:

Answer :-

Product of two integers = - 84

One integer = 4

Other integer = x

[tex]4 \times x = - 84 \\ 4x = - 84 \\ x = \frac{ - 84}{4} \\ x = - 21[/tex]

⎆ The value of the other integer is - 21

If a race car averages 125 miles per hour in 4 hours, how gar does the car travel? Use the number line to help you find the answer

Answers

The car travels at a rate of 4 hours

Answer:

500 miles

Step-by-step explanation:

If in one hour you travel 125 miles then in 4 hours you would travel 125 multiplied by 4 which would give you 500.

Calculator
The number of peanuts in bags of the same size is normally distributed with a mean of 115 peanuts and a standard deviation of 4
peanuts
There are 50 bags of peanuts on a shelf.
About how many bags of peanuts are expected to have between 111 peanuts and 119 peanuts?
A. 15
B. 26
C. 30
D. 34

Answers

Answer:

d 34

Step-by-step explanation:

What is the INITIAL VALUE of the following function?

f(x)=18(1.46)^x

NEED ANSWER ASAP!!

Answers

Answer:

[tex]f(x) = 18(1.46) {}^{x} \\ initially : x = 0 \\ f(0) = 18 \times {(1.46)}^{0} \\ = 18[/tex]

Write and solve a system of inequalities to model the following situation.
The local waterpark is opening for the summer. They are selling adult tickets for $15 and child tickets for $8. The park can hold at most 500 people. To allow access for more children, the waterpark is limiting the number of adults to no more than 150. The waterpark is hoping to make at least $600 in ticket sales. How many adult tickets and how many child tickets should be sold to maximize the amount of money earned?

Answers

Dont cheat Answer:

Step-by-step explanation:

Dont cheat, you got this!

What are some websites that someone does your math assignment for you help ASAP

Answers

Answer :

You can only search for answers or pay for someone to do your assignments

find the ratio in lowest terms of 20 girls and 15 boys​

Answers

Answer:

4:3

Step-by-step explanation:

The ratio is 20 girls to 15 boys as it says 20:15 ,

but this is simply 4 parts to 3 parts or 4:3

it's due in less than 30 minutes

Answers

208/375

Step-by-step explanation:

When n=1, the first term is

a=2/3

The sum of the first 4 terms is:

208/375

When Cosmo wears his new shirt properly as shown below, the horizontal stripes form seven closed rings around his waist. This morning he buttoned his shirt incorrectly, as shown on the right. How many closed rings were there around Cosmo's waist this morning?

Answers

Answer:

6

Step-by-step explanation:

It is given that Cosmo bought a new shirt which have several horizontal strips printed on the shirt that forms horizontal rings when the shirt is buttoned up. When Cosmo rightly button up the shirts, the horizontal strips forms seven closed rings.

One day when Cosmo wrongly wear the shirt and wrongly buttoned up the shirt, the horizontal strips on the shirt did not matched properly.

So as seen from the figure, when Cosmo wrongly button up the shirt, the closed strips forms 6 horizontal rings around Cosmo's waist.


I need the answer plssss

Answers

Answer: b drained the fastest I think

Step-by-step explanation:

HELP ME I BEGGGG THANK U PLEASE ITS DUE

Answers

Answer:

y=6x+24

Step-by-step explanation:

Jessica and two friends spent $36.93 on dinner. They left a $6.00 tip. How much money did each person spend if they split the bill and tip equally?

Answers

Answer:

14.31

Step-by-step explanation:

at 4 PM the total snowfall is 5 cm. At 7 PM the total snowfall is 12 cm. What is the mean hourly snowfall write your answer in simplest form as a fraction or mixed number

Answers

Answer:

Another poorly worded homework question. While you could answer what the mean hourly snowfall was between 4PM and 7PM, that’s not what the question asks. It asks simply what the mean hourly snowfall is. You know that there are a total of 11 cm of snowfall, but you don’t know the time frame over which it fell.

So the simplest form is really an equation. 11cm / (7PM - time the snow started)

In desperate need for help! (20 points question)

Answers

Answer: The answer is J. 0.23

Step-by-step explanation:  (3 ^2)(  e ^− 3)/ 2 ! equals   P =  9 /2 e^ 3 or in decimal form it equals P=  0.22404180 … Therefore the answer is J. or 0.23 because is the closest probability.

Does anyone know how to solve this?

Answers

Answer:

a) the average of change for the number of bacteria from 0 to 6.8 hours is

[tex]the \: average \: of \: change \: = \frac{2292 - 1000}{6.8 - 0} = 190 \: bacteria \: per \: hour[/tex]

b)

[tex]the \: average \: rate\: of \: change \: from \: 10.2 \: to \: 13.6 \: hours \: = \frac{5080 - 3856}{13.6 - 10.2} = 360[/tex]

In a running competition, a bronze, silver and gold medal must be given to the top three girls and top three boys. If 9 boys and 6 girls are competing, how many different ways could the six medals possibly be given out?

Answers

Answer:

d

Step-by-step explanation:

Other Questions
50 POINTS !!PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS. PLEASE Help me now!Which of the following statements best summarizes the relationship between art and change?Art is constantly changing, because new Immigrants continue to pour into the U.S. bringing new ideas, traditions, and beliefs.While artists change, the primary principles of art and ways of creating art do not change.Art is greatly influenced by culture, and culture is continually changing due to events and experiences; therefore, art changes.Artists are explorers who seek out new beliefs, ideas, subjects, and experiences that are reflected in their works. please help will give brainliest x+3y=6 2x+8y=-12 I can't solve this equation but it needs to be done in substitution Money is neutral in:___________A. the short run, since it cannot alter the real aggregate output or price level in the short run.B. both the short and long run, since it cannot alter price levels or aggregate output in the long and short run.C. the long run, since it only affects the price level, but not aggregate output or interest rates.D. the short run, since it cannot alter the price levels or interest rate in the short run. Which of the following choices correctly matches each U.S. president to his foreign policy? Big Stick: Roosevelt, Dollar: Taft, Moral: Wilson Dollar: Roosevelt, Moral: Wilson, Big Stick: Taft Big Stick: Wilson, Moral: Taft, Dollar: Wilson Moral: Roosevelt, Big Stick: Taft, Dollar: Wilson Plsss help I will give brainliest The pOH of a solution of KOH is 11.30. What is the [H*] for this solution? Imagine your friend's cousin writes a rebuttal argument to her claim in favor of teens owning smartphones. Read his argument excerpt and answer the question that follows:"Smartphone ownership among teens is certainly on the rise. Yet there is reason for caution. Teens are showing signs of smartphone addiction. A survey by TextPlus found that half of teens "couldn't live without their mobile devices for a week, while 36 percent said they weren't able to go 10 minutes without checking their phones." All this time on the devices creates more chances for problems. Smartphones and social media have been linked to serious cases of cyber bullying. Some students have been hurt or worse. A school superintendent in California, J. Thomas Morton, sent a letter to parents. He asked them to monitor their teens' use of all electronic devices, as cyber bullying incidents are on the rise."Which of the following is true about this argument excerpt?1. It is respectful in tone to the audience and supports its claim with specific, credible evidence.2. It contains specific, credible evidence but uses a disrespectful tone that should be edited.3. It fails to support its claim with specific, credible evidence and uses a disrespectful tone.4. It uses a respectful tone but needs specific, credible evidence to support the claim. LOOK AT THE PICTURE or click on the file When dealing with other cultures or perspectives, is it more important to focus on your similarities or differences?This year, we've read a multitude of stories from a variety of perspectives. We've explored some of the attitudes and ideas that divide, we've seen from the perspective of mindsets that unite. Hopefully, you've also gained a better understanding of your own perspective as well.For your Unit 4 Writing Assignment, I would like for you to explore these ideas through that question. Write an argument in response to the prompt that contains the following elemnts:Hook/Introduction (You're essay should not jump directly in to answering that question. Consider how that question might apply to you, or the world. Consider some way to engage the reader in the topic)Claim (This is where you'll answer the question. A claim should also introduce how you plan to support your response)At least 3 Supporting ParagraphsYour support must directly reference at least 2 stories we've read this yearYou may also use personal experience or real world examples as supporting evidenceCounterclaim- Address the other side of the argument. If you believe similarities are more important than differences, spend some time acknowledging why someone may think understanding differences is more important or vice versa. Make sure your counterclaim is followed with a refutation to reinforce your argument.Conclusion- Try to go beyond just restating your claim and major points. Try to connect your argument to a larger context.Note: It is important to understand both similarities and differences. The question is asking which one is MORE important. Your essay's tone is done no favors by being wishy-washy. Pick the one you think is more important and defend that stance. If you honestly believe they are equally important, FAKE an opinion. This isn't a legally binding document. You are not forever bound to your choice. This is an exercise meant to evaluate your ability to structure and support an argument. Making an argument starts with taking a side. Find the measure of the angles. Please show the steps if you can. ANSWER THISSSSSSSSSS Please solve; d=(x x) + (y y) Lewis directs the school marching band. He uses scale drawings of the football field to design marching formations for the band. The football field is 100 yards long and yards wide. Lewis always uses a scale of 1 inch to 10 yards for his drawings.Complete the steps below to find the length and width of the football field as it appears in one of Lewiss scale drawings.Part AWhat is the actual area of the football field? Assume that the field is shaped like a rectangle.The length of the football field is 100 yards. The width of the field is 53 1/3 yards.The area of a rectangle is length width:area = length * width= 100 yd. * 53 1/3 yd.= 5,333 1/3 sq. yd.The area of the football field is 5,333 1/3 square yards.Write a ratio to represent the scale used in the drawing. Help! No links! And- ye- C: 75ft 3D: 100ft 3 Presiunea exercitata de o forta de F=700 N pe o suprafata cu aria de 2 metri patrati este de...? What is the circumference?(radius = 4) Help please Ill mark brainliest!