What is an equation of the line that passes through the point (8,-7)(8,−7) and is parallel to the line x+2y=18x+2y=18?

Answers

Answer 1

Answer:

[tex]y=-\frac{1}{2} x-3[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in 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 always have the same slope (m) and different y-intercepts (b)

1) Determine the slope (m)

[tex]x+2y=18[/tex]

Rearrange this equation into slope-intercept form (this will make it easier for us to identify the slope)

Subtract x from both sides to isolate 2y

[tex]x+2y-x=-x+18\\2y=-x+18[/tex]

Divide both sides by 2 to isolate y

[tex]y=-\frac{1}{2} x+9[/tex]

Now, we can see clearly that [tex]-\frac{1}{2}[/tex] is in the place of m. Because parallel lines have the same slope, [tex]-\frac{1}{2}[/tex] is therefore the slope of the line we're currently solving for. Plug [tex]-\frac{1}{2}[/tex] into [tex]y=mx+b[/tex]:

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

2) Determine the y-intercept

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

Plug in the point (8,-7)

[tex]-7=-\frac{1}{2} (8)+b\\-7=-4+b[/tex]

Add 4 to both sides

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

Therefore, the y-intercept is -3. Plug this back into [tex]y=-\frac{1}{2} x+b[/tex]:

[tex]y=-\frac{1}{2} x-3[/tex]

I hope this helps!


Related Questions

Can somebody plz help answer these questions correctly (only if u know how to do this) thanks :D!

WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :DDD

Answers

14. Range=22 Mean= 31.2
15. Range=33 Mean= 88.2
16. Range= 81 Mean= 161.3
To find range you take the smallest number and the largest number and subtract them. To find mean you add all of the totals together and then divide by how many numbers are given.

An outdoor summer camp offers its campers 14 activities. Campers make a schedule for their morning, afternoon, and evening sessions. How many different schedules are possible?

Answers

An outdoor summer camp offers its campers 14 activities. Campers make a 3 schedule. So, 4.6 different schedules are possible.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

An outdoor summer camp offers its campers 14 activities. Campers make a schedule for their morning, afternoon, and evening sessions.

The total number of activities = 14

The total number of schedules = 3

So, The possible different schedules will be

14 divided by 3 = 14/ 3

= 4.6

Learn more about the unitary method;

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PLSSS HELP ILL GIVE BRAINLIEST TO THE RIGHT ANSWER

Answers

Answer:

56

Step-by-step explanation:

The simplest way to do this is to divide 3 by 21 to get 7.  This means that it takes $7 to buy one T-shirt.  If you multiple 8 X 7, you get 56.  This mean that the correct answer is A. $56.00

Hope it helped and have a great day :)

Determine whether the relationship is an inverse variation or not. Explain.

A.The product xy is constant, so the relationship is an inverse variation.
B.The product xy is not constant, so the relationship is an inverse variation.
C.The product xy is not constant, so the relationship is not an inverse variation.
D.The product xy is constant, so the relationship is not an inverse variation.

Answers

pretty sure the answer is A

The product xy is constant, so the relationship is an inverse variation. Thus, the correct option is A.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The table is given as,

x                  y                     xy

2               630                1,260

3               420                1,260

5               252                1,260

The product xy is constant, so the relationship is an inverse variation. Thus, the correct option is A.

More about the Algebra link is given below.

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movie theater has opened.
Number of Tickets

If the trend continues, after how many weeks will the movie theater sell
300 tickets per week?

А. 50
B. 15
C. 12
D. 11
I need a correct answer fast please!!!!

Answers

Answer:

I think the possible answer is C.12

hope its right but if its wrong please feel free to correct me.

The diameter of a circle measures 20 yd. What is the circumference of the circle?
Use 3.14 for it, and do not round your answer. Be sure to include the correct unit in your answer.
20 yd
yd

Answers

Answer: 62.8 yd

Step-by-step explanation:

Circumference= diameter*pi

20*3.14= 62.8

Carter bought a pair of shoes online for $64. He used a coupon code to get a 10% discount. The website also applied a 5% processing fee to the price after the discount. How much did Carter pay for the processing fee? Round to the nearest cent.

Answers

Answer:

$60.48

Step-by-step explanation:

Price after the discount = original price - discount

discount = 10% x 64 = $6.4

$64 - $6.4 = $57.60

processing fee = 57.60 x 5% = $2.88

Price paid = $2.88 + $57.60 = $60.48

Please help the questions are in the picture above

Answers

Not sure if I'm right but I think it's 3(x - 6) (x^2 + 5x)

Step-by-step explanation:

3x^3 - 3x^2 - 90x

Apply GCF: 3 (x^3 - x^2 - 30)

Split 30 into -6 and 5

(x^3 - 6x^2) (5x^2 - 30x)

GCF of both: x^2 (x - 6) and 5x (x - 6)

DON'T FORGET TO CARRY THE 3

And your answer is 3 (x - 6) (x^2 + 5x)

please help and show work

Answers

What’s the question?

Answer:

?

Step-by-step explanation:

Question 11 (1 point)
David has a gift that he needs to wrap. He is trying to decide if he has enough Avengers wrapping paper or if he will have to use the plain blue
ones he has. The gift is 18 inches by 2 feet by 9 inches, rectangular shape. If he has a piece of Avengers wrapping paper that is 3.5 feet by 3
feet, is it enough to cover the present?

Answers

Answer:

no, it isn't enough to cover the present

Step-by-step explanation:

first, find the volume of the gift in feet

18*9=162 inches

162/12= 13.5 feet

13.5*2= 27 feet

then, the wrapping paper

3.5*3= 10.5 feet

compare them

27>10.5 meaning there isn't enough wrapping paper

If NP= 9 and MP = 15, What is the length of OP

Answers

Answer: 5.4

Step-by-step explanation:



Help please!!!!!!!!!!!!!!!!

Answers

Answer:

i cant see it

Step-by-step explanation:

5 (2x + 2) - 22=2 (3x+4)​

Answers

Answer:

x+5

Step-by-step explanation:

If you need the work, let me know!

Help me with this please

Answers

Answer:

3418.05 (not rounded)

Step-by-step explanation:

Volume = Area * height

V =pi*(8)^2*17

Answer:

i dont know :(

Step-by-step explanation:

thing i need to show a person

Answers

Answer:

What does that mean

Step-by-step explanation:

8. Which choice is chord?
LG
CH
LM
CJ

Answers

Answer:

Step-by-step explanation:

LG: is a chord. Are there others?

CH: is a radius. C is the center of the circle.

LM: You have to draw in LM. LM would be a secant. It cuts the circle in exactly two places.

CJ: Anything coming from C and ending at the circumference is going to be a radius.

3.2x4.9-1.5 simplify

Answers

Answer:

14.18

Step-by-step explanation:

3.2*4.9= 15.68

15.68 -1.5 = 14.18

The area of a rectangle is 479.4 square feet. The width of the rectangle is 17 feet.
What is the length of the rectangle? *
1. 28.2 feet
2. 190.4 feet
3. 30.94 feet
4. 239.7 feet

Answers

The answer is 28.2 because 479.4 ft. ÷ 17 ft. = 28.2 ft.

Hi how’s your day ? Would you like to help me ?

Answers

Answer:

Hi

Good

I think its the second but i'm not sure because there are no measurements

Good luck

A warehouse worker is stacking boxes. The height of each box is 20 centimeters. She cannot stack the boxes higher than 5 feet.
1 inch 2.54 centimeters, 1 foot = 12 inches
What is the maximum number of boxes the warehouse worker can stack? Enter the answer in the box.
boxes​

Answers

Answer:

7 boxes

Step-by-step explanation:

We'll begin by writing convert 5 ft to in. This can be obtained as follow:

1 ft = 12 in

Therefore,

5 ft = 5 ft × 12 in / 1 ft

5 ft = 60 in

Next, we shall convert 60 in to cm. This can be obtained as follow:

1 in = 2.54 cm

Therefore,

60 in = 60 in × 2.54 cm / 1 in

60 in = 152.4 cm

Finally, we shall determine the maximum number of boxes the ware house worker can stack.

Total height = 152.4 cm

Height of 1 box = 20 cm

Number of box =?

Number of box = total height / height of 1 box

Number of box = 152.4 / 20

Number of box = 7

Therefore, the warehouse worker can only stack a maximum of 7 boxes

Find the solution of the system of equations.

-2x-6y=8
-6x-6y=0

Answers

x=-7
y=7

First solve for x in -2x-6y=8, and you will get -7. Then plug -7 into x for -6x-6y=0 and you will get 7.

Can anyone give me an answer to this? Help is serverly needed...

Answers

THE ANSWER IS TWO. You have to factor it

Which of the following is not an axiom about lines in the plane

Answers

Answer:

If two planes intersect, then their intersection is a line.

Find the slope of the line on the graph.
Write your answer as a fraction or a whole
number, not a mixed number or decimal.

Answers

Answer:

The slope is 1

Step-by-step explanation:

Take any two points from the graph and plug it into the equation y1-y/x1-x. I took the point (0,3) and (1,4). Plug these two points in to get 4-3/1-0. Simplify to get 1/1 which is equal to 1. Therefore, the slope is 1.

If this answer helps please mark as brainliest

Answer:

The slope is 1

Step-by-step explanation:

There are multiple ways to find the slope on a graph. You can either take two points from the line and do it the normal way (y1-y2/x1-x2), or you can look at the graph and see how much it "rises and runs" from one point to the next point. Since this is a pretty simple graph that is the method I used. Count how many units the line goes up and to the right from one point to the next, and remember the phrase "rise over run" for organizing the fraction. In this one, it rises one and runs one, so 1/1, and that's 1. I hope I could help.

What is -7 + 1/3?
Answers:
-7 1/3
-6 2/3
6 2/3
7 1/3

Answers

Answer:

-6 2/3

Step-by-step explanation:

Answer

 - 6   2 / 3

Step-by-step explanation:

answer is - 6  2/ 3

Math HW Mr Thompson May 24

Answers

Answers:

B) 0A) 27D) 50See the diagram below.C) 143

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

Explanations:

Refer to the top left corner of the table. This is the intersection of the "less than 1 year" column and "antlers" row.Add up everything in the "1 year or older" column to get 12+15 = 27.There are 0+12 = 12 deer with antlers, and 23+15 = 38 deer with no antlers. I'm adding across the rows. This in turn means there are 12+38 = 50 deer total. You could also add across the columns, meaning we have 0+23 = 23 deer less than 1 years old, and 12+15 = 27 deer that are 1 year or older. So we have 23+27 = 50 deer total. The explanation is lengthy. There's not much room here so I'll explain in the section below. Refer to the table below as well.Dividing everything by 143 will help us get the values into percentages. For instance, 62/143 = 0.4336 = 43.36% approximately represents the number of people who wear a belt and also wear a watch (top left corner).

-----------

Explanation for problem 4

We have 68 people who split the check out of 122 total. That leaves 122-68 = 54 people who don't split the check. These two values are the row totals for rows 1 and 2 in that order. So you'll have 68 at the end of row 1, and 54 at the end of row 2. Refer to the diagram below.

We have 56 people who prefer to skip dessert, meaning 122-56 = 66 people who order desert. We'll have 66 followed by 56 along the first two items in the bottom row. The grand total 122 is in the bottom right corner. The 122 is both in the total row and total column.

Then we're told that 50 people order desert and split the check. We had 68 people split the check, leaving 68-50 = 18 people who split the check, but didn't get dessert. For the first row, we have the values 50, 18, and 68. Note that 50+18 = 68.

In the second row, we must have the values 16, 38, and 54 in that order. The blank spaces are filled in using the same ideas as I've discussed in previous paragraphs.

The terms in gray boxes represent the totals, which would be left out when forming the table in your final answer. Meaning you'll have a 2x2 table instead of a 3x3 table.

Which is the net for this rectangular prism?

Answers

Answer:

The one on the bottom left

Step-by-step explanation:

Have a wonderful Day

Matching the Transformed Function to its Graph

Use your knowledge of transformations to find the matching graph. f(x) = 2 sqrt x + 1

Answers

Answer: D

Step-by-step explanation:

Answer:

D

B

A

C

Step-by-step explanation:

What is the sum of 103 and h?​

Answers

Answer:

The answer is 103 + h

Step-by-step explanation:

The sum of 103 and h

i.e., 103 + h

Thus, The answer is 103 + h

-TheUnknownScientist

The answer would be 103 + h If I am wrong I’m sorry

How do people find bog bodies?

Answers

the answer to this is D

There have been more than 500 Iron Age bog bodies and skeletons recovered in Denmark alone, with additional finds made in Germany, the Netherlands, the United Kingdom, and Ireland. These discoveries date from between 800 B.C. and 200 A.D.

What is bog bodies?​

The term “quaking bog” refers to the unstable surface of the bog, which will sink slightly beneath a weight. Even the plants may be through to reach the water below. This is how both people and animals have drowned. If the peat is dense and spongy, non-floating bogs may also tremble.

here, we have,

Boggy body reports first appeared in the early 18th century. More than 1,850 bog remains were catalogued by the German scientist Alfred Dieck in 1965, however subsequent research showed that Dieck made many errors in his work.

Before cutting into the peat, ground-penetrating radar can be used to locate bodies and artifacts beneath the surface of bogs.

Therefore, people find bog bodies looking for peat for fuel. it's something along those lines.

Learn more about bog bodies here:

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