((7,-1) and (21,-5) what is the equation in slope intercept form?

Answers

Answer 1

Answer:

y=-2/7x+1

Step-by-step explanation:

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

m=(-5-(-1))/(21-7)

m=(-5+1)/14

m=-4/14

simplify

m=-2/7

y-y1=m(x-x1)

y-(-1)=-2/7(x-7)

y+1=-2/7(x-7)

y=-2/7x+2-1

y=-2/7x+1

Answer 2

The equation of the line in slope-intercept form is: [tex]\[ \boxed{y = -\frac{2}{7}x + 1} \][/tex]

To find the equation of the line in slope-intercept form  y = mx + b that passes through the points 7, -1 and 21, -5 we need to follow these steps:

1. Find the slope  m  of the line.

2. Use the slope and one of the points to find the y-intercept b

3. Write the equation in the form y = mx + b

Step 1: Find the slope m

The formula for the slope between two points [tex]\((x_1, y_1)\) and \((x_2, y_2)\) is:[/tex]

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

For the points 7, -1 and 21, -5

[tex]\[ x_1 = 7, y_1 = -1 \][/tex]

[tex]\[ x_2 = 21, y_2 = -5 \][/tex]

Substitute these values into the slope formula:

[tex]\[ m = \frac{-5 - (-1)}{21 - 7} = \frac{-5 + 1}{21 - 7} = \frac{-4}{14} = -\frac{2}{7} \][/tex]

Step 2: Find the y-intercept b

Use the slope[tex]\( m = -\frac{2}{7} \)[/tex] and one of the points

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

b = 1

Step 3: Write the equation

Now that we have the slope [tex]\( m = -\frac{2}{7} \)[/tex] and the y-intercept  b = 1 we can write the equation in slope-intercept form:

[tex]\[ y = -\frac{2}{7}x + 1 \][/tex]

Thus, the equation of the line in slope-intercept form is:

[tex]\[ \boxed{y = -\frac{2}{7}x + 1} \][/tex]


Related Questions

A landscaping company is putting small stones around a circular fish pond with a diameter of 5.5 yards. If each bag of stones fills a distance of 4 yards, how many bags do they need

Answers

Answer:

2

Step-by-step explanation:

If one bag of stones is sufficient to fill the distance of 4 yards , then to complete 5.5 yards of pond boundary, 2 bags are enough.

What is distance?

Distance is a physical quantity measuring the length over an area covered by an object or place. The change in distance is called displacement. For  a moving object the distance is the product of its speed and time take to cover the distance.

Distance can be measured in meter, kilometer, feet, yard etc. These units can be interchanged in between based on the relationship between them.

It is given that the diameter of the circular fish pond is 5.5 yards. One bag of stones can fills a distance of 4 yards. of the pond. Then two bag of stones is enough  to fill  up the total distance of 5.5 yards.

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It’s a statistics mathematical question

Answers

Answer: About 0.8034 of the items will be classified as good.

Step-by-step explanation:

Let's first understand that because 13% of the items are defective, that means 87% of the items are not defective. And because the inspector incorrectly classifies the items 9% of the time, it's important to understand that that means both the defective and the not defective items may be incorrectly classified. In order to figure out what proportion will be classified as 'good,' let's set up a tree diagram:

--0.13--defective

            |__0.09__ classified as 'good'

            |__0.91__ classified as 'defective'

--0.87--not defective

           |__0.09__ classified as 'defective'

           |__0.91__classified as 'good'

This chart essentially reiterates the information in the prompt, showing that 9% of each type of item will be incorrectly classified. Now we need to find the proportion of items that will be classified as 'good.' To do this, we must multiply the proportion of items classified as 'good' by the proportion of items that are either defective or not defective for both types, like this:

(0.13 * 0.09) + (0.87 * 0.91)

this expression in words means: "13% of the items will be classified as good 9% of the time, and the other 87% of the items will be classified as good 91% of the time"

When we multiply and add these numbers together, we get 0.8034, but you should round to 2 or 3 decimal places like the prompt instructs. Hope this helped! :)

What is x equal to in this equation: 6(x - 2) = -18

Answers

Answer: x=5 6 ( 5 - 2 ) = -18 6 ( -3 ) = -18

robin wants to find the area of the triangle below. to find the area of a triangle, multiple the base times the height and then divide by 2. the base and height of the triangle are shown. represent the area of the triangle with numerical expression.

Answers

Answer:

6

Step-by-step explanation:

Base = 4 in

Height = 3 in

Area= 1/2 Base * Height

Area = 1/2 * 4 * 3

Area = 1/2 * 12

Area = 6

Loc weighs 14 pounds. The HCP prescribes an IV infusion of 5% dextrose in 1/4 normal saline to be infused at 8mL/kg/hr. How many mL of the prescribed solution should the nurse infuse each hour?

Answers

After converting the patient's weight from pounds to kilograms, it is multiplied by the prescribed infusion rate to calculate that approximately 50.88 mL of the IV solution should be infused each hour.

The question involves calculating the volume of IV fluid to infuse per hour based on the weight of the patient and an ordered flow rate. Given that Loc weighs 14 pounds, we need to convert his weight to kilograms to match the units given in the infusion rate (8mL/kg/hr). There are 2.2 pounds in one kilogram.

To find Loc's weight in kilograms, we divide his weight in pounds by 2.2:

Weight in kilograms =Weight in pounds / 2.2 = 14 pounds / 2.2 = 6.36 kilograms (rounded to two decimal places)

Next, we multiply Loc's weight in kilograms by the prescribed infusion rate to determine the flow rate:

Infusion volume per hour =
Weight in kilograms × Infusion rate = 6.36 kg × 8 mL/kg/hr = 50.88 mL/hr (rounded to two decimal places)

Therefore, the nurse should infuse approximately 50.88 mL of the prescribed solution each hour.

what is 2.99 times 0.150 ?

Answers

Answer:

0.4485

Step-by-step explanation:

2.99 times 0.150 = 0.4485

0.4485


hope this helps

The drink dispenser in a fast food restaurant holds 250 liters

Answers

Question:

A drink dispenser in a fast-food restaurant holds 250 litres of lemonade. How many 0.6-litre drinks can be dispensed before a refill is needed?

Answer:

The number 0.6-litre drinks can be dispensed before a refill is needed is 416

Step-by-step explanation:

Given:

The capacity of the drink dispenser =  250 litres

To Find:

Number of  0.6-litre drinks can be dispensed before a refill is needed = ?

Solution

Let the number of  0.6-litre drinks can be dispensed before a refill is needed be x

Then

[tex]x = \frac{ \text{total capacity of the dispenser}}{\text{0.6-litre drinks}}[/tex]

On substituting the values we get

[tex]x = \frac{250}{0.6}[/tex]

x  =  416. 667

Thus only 416 can be filled

Will give Brainliest if answer is correct!

Answers

Answer:

a|| b then

<6=<4=<2=146

A segment is dilated, and the resulting segment is shorter than the original.
Which of the following options could be the scale factor of the dilation?
Select all that apply.

3/8

1

5

1/5

Answers

Answer:

3/8 and 1/5

Step-by-step explanation:

If the scale factor is 1 then it stays the same. If it's larger than 1 then is gets larger, so the fractions, which are smaller than 1, would make it shorter.

hope this helped :)

Answer:1/5 and 3/8

Step-by-step explanation:

A bag contains 2 red, 5 blue, and 3 green balls. A ball is chosen at random. What is the probability of not choosing a red ball?

Answers

Answer:

Step-by-step explanation:

Answer:

80% (I’m pretty sure)


There are 10 balls in total.


5 + 3 + 2 = 10


2/10. 5/10. 3/10.


20%. 50%. 30%


20% of the red ball getting chosen so


100 - 20 = 80% of it not getting chosen

Let f(x) = (x^2+3x-5)/(x^2-8x+15) What is the domain of f(x) ?

Answers

Answer:

So, Domain = {set of all the real numbers except 3, 5}

Interval notation = {x ∈ set of all real numbers/ x ≠3 and x ≠ 5}

Step-by-step explanation:

The given function is f(x) = [tex]\frac{x^2 + 3x - 5}{x^2 - 8x + 15}[/tex]

Here we need to find the domain.

To find the domain, let's find the restricted domain.

If we set the denominator equal to zero and solve for x, we can find the restricted domain.

Here the denominator is [tex]x^2 -8x + 15 = 0[/tex]

Now we can factorize and solve for x.

(x - 3)(x - 5) = 0

(x - 3) or (x - 5) = 0

x -3 = 0  and x - 5 = 0

Solving the above equations, we get

x = 3 and x = 5

The restricted domains are x = 3 and x = 5.

Now we can find the domain.

Except 3 and 5, all the real numbers can be domain of this function.

So, Domain = {set of all the real numbers except 3, 5}

= {x ∈ set of all real numbers/ x ≠3 and x ≠ 5}.

Answer: all real numbers except 3, 5

Step-by-step explanation:

can somebody please let me know what the formula would be flipped?

Answers

Step-by-step explanation:

The flipped formula would be:

[tex]C = \frac{5}{9} (F - 32) \\ [/tex]

Does the example showing 1/2 × 2/5 support a similar rule when multiplying a fraction by a fraction less than 1

Answers

I think it would show similarities when multiplying a fraction less than one because 1/2 •2/5 would equal I think 0.2
Or 1/5

Final answer:

The multiplication of fractions, such as 1/2 × 2/5, follows the principle of multiplying the numerators and denominators to get the product. This supports the rule that the product of any two fractions is the quotient of the products of their numerators and denominators, which also holds true for fractions less than 1.

Explanation:

The multiplication of fractions, regardless of whether the fractions are less than 1 or not, follows the same basic principles. When multiplying two fractions, you multiply the numerators together and the denominators together. For example, when you multiply 1/2 by 2/5, you multiply the numerators (1 and 2) to get 2, and the denominators (2 and 5) to get 10. The result is 2/10, which simplifies to 1/5. This process supports the general rule of fractional multiplication.

Similarly, when dealing with a fraction such as 1/2 and a fraction less than 1, the product will be less than the original fraction (1/2 in this case). This is because you are multiplying by a number that is less than the whole. For instance, if you multiply 1/2 by 1/3, you get 1/6, which is indeed less than 1/2.

In the context of fractional exponents, the exponent represents the root of the number. So, an exponent of 1/2 would mean the square root.

8 inch by 6 inch retangular photo inside a 10 inch by 8 inch rectangular fram how much greater is the perimeter of the frame

Answers

The perimeter of frame is 1.29 greater

Step-by-step explanation:

Perimeter of a rectangular shape object is given by the formula;

2(l+w) when, l is length and w is width

Perimeter of the photo is;

2(8+6)= 2(14) =28 inches

Perimeter of the frame is;

2(10+8)= 2(18) =36 inches

Divide perimeter of frame by that of photo as;

36/28 =1.29

The perimeter of frame is 1.29 greater

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What are the answers for a,b,c

Answers

Answer:

a=51

b=48

c=70

Step-by-step explanation:

C=180-110=70

a=180-110-19=51

b=180-70-62=48

Write a four digit number that is divisible by 3 and 5

Answers

Answer:

There are many numbers like 1005, 3000, and 2700.

Step-by-step explanation:

The divisibility rule for 3 is the sum of the numbers is divisible by 3. example is 111. well 1+1+1 is 3 so its divisible by three.

The divisibility rule for 5 is any number that ends in 5 or 0.

If you have any questions feel free to ask in the comments - Mark

There are many numbers like 1005, 3000, and also 2700.

Sallys basketball team played 6 games . They scored 76 points in the first game , 88 points in each of the next two games , and 92 points in each of the following two games . The team scored 515 points altogether . Write an expression and calculate the number of points they scored in the last game .

Answers

The expression is 436 + x = 515

The number of points they scored in the last game is 79

Step-by-step explanation:

Sally's basketball team played 6 games

They scored 76 points in the first game88 points in each of the next two games92 points in each of the following two gamesThe team scored 515 points altogether

We need to write an expression and calculate the number of points they scored in the last game

Assume that the score of the last game is x

∵ Sally's basketball team played 6 games

∵ The score of the first game is 76 points

∵ The score of the next two games is 88 points each

∴ The score of the 2nd game is 88 points and the score

   of the 3rd game is 88 points

∵ The score of each following two games is 92 points

∴ The score of the 4th game is 92 points and the score

   of the 5th game is 92 points

∵ The score of the 6th game is x points

- Add all of them to find the total score of the 6 games

The total score = 76 + 88 + 88 + 92 + 92 + x

- Add the like terms

The total score = 436 + x

∵ The team scored 515 points altogether

- Equate the expression of the total by 515

∴  436 + x = 515

- To find the value of x subtract 436 from both sides

x = 79

∴ The score of the last game is 79 points

The expression is 436 + x = 515

The number of points they scored in the last game is 79

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Final answer:

We formulate an expression to represent the overall score of Sally's basketball team and solve for the final game's score. The outcome of the expression found that Sally's team scored 79 points in the last game.

Explanation:

The subject of this question is regarding basketball scoring, which falls under the subject of mathematics, specifically algebraic expressions. The first step in finding out how many points were scored in the last game by Sally's basketball team is to write an expression that represents the total points scored in all games. This could be done as follows:

76 (first game score) + 88*2 (second and third game score) + 92*2 (fourth and fifth game score) + X (sixth game score) = 515 (total score)

To resolve this expression, you first do the multiplications and then the additions. This results in the partial sum of 436 points for the first five games.

Next, subtract this partial sum from the total score (515-436), the outcome is 79.

Therefore, Sally's basketball team must have scored 79 points in the last game.

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How do you write 40.545 in word form

Answers

Forty and five hundred forty five thousandths. I think.

The requried word form of the given number is forty and five hundred forty-five thousandth.

What is a number system?

A number system is described as a technique of composing to represent digits. It is the mathematical inscription for describing the numbers of a given set by using numbers or other characters in a uniform method. It delivers a special presentation of every digit and describes the arithmetic structure.

Here,

Since the given number is of decimal form.

A word form of the given number 40.545 is given as,
40.545 =  forty and five hundred forty-five thousandth.

Thus, the requried word form of the given number is forty and five hundred forty-five thousandth.

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log3 (7x - 1) = log2 (5x +17)
SOLVE.

Answers

Answer:

x=1.113317

Step-by-step explanation:

What is (2x + 3y)^4?​

Answers

Answer:

the answer is 8x+12y

Step-by-step explanation:

1. Which figure has a circumference of
31.4 centimeters?
Figure A Figure C
Figure B. Figure D

Answers

Answer:

Figure B

Step-by-step explanation:

Circumference of a circle is simply the length of the boundary of the circle which can be measured by the formula of [tex]2\pi r[/tex]

In the figure B the given radius in the figure is 5

Putting 5 in the formula to find the circumference of the circle gives

                   [tex]2\pi *r[/tex]

                = [tex]2*3.14*5[/tex]                                                :                  [tex]\pi =22/7=3.14[/tex]  

           Circumference of the circle in fig B = 31.4 cm

So, Circle in the figure B will have the circumference of 31.4 cm. Also the Circumference of the fig A, C and D are different and are not equal to 31.4 cm

1. What is the fourth term of the
sequence 4, 8, 12, 16, 20, 24,

Answers

Answer:

16

Step-by-step explanation:

bruh, it's right there

Answer:

16

Step-by-step explanation:

it's the fourth number in the pattern

What is -5/6 time -6/5

Answers

Answer:

1

Step-by-step explanation:

you are just multiplying by the reciprocal here which would make this equal to 1

Kathy is paid a project fee of $70 plus $40 per hour. she wants to buy a new iPad and need $710. write an equation to represent how many hours(h) kathy needs to work to have the exact amount for the iPad​

Answers

Answer:

70+40h=710

Step-by-step explanation:

She will need to work seven

PLEASE HELP I NEED TO PASS THIS TEST!!! (first actual answer gets brainliest)

Iliana rotated trapezoid WXYZ 180° about the origin.
*graph below*
What is the correct set of image points for trapezoid W’X’Y’Z’?

Answers

Answer:

W'(4, -2), X'(3, -4), Y'(1, -4), Z'(0, -2)

I hope this helps you. If you can give brainliest that would be greatly appreciated.

Answer:

W’(4, –2), X’(3, –4), Y’(1, –4), Z’(0, –2)

Step-by-step explanation:

look at picture

Answer the questions below. When you are finished, submit this assignment to your teacher by the due date for
full credit.
Total score:
of 15 points
(Score for Question 1: __of 4 points)
1. To go bowling, it costs $2.00 to rent shoes and $3.50 per game. The function t(x) = 3.5x + 2 is used to find the
total cost, 1, for x amount of games. Find the following and show all work:
(a) What is the charge to play 1 game?
(b) What is the charge to play 5 games?
Please help

Answers

Answer:

A). $5.50

B).19.50

Step-by-step explanation:

A).  3.5(1)+2=5.50

B).  3.5(5)+2=19.50

All you are are doing is inputing the number of games played (x) in for x in the function/equation.

simplify the expression 2a + 5b² - a - b - 3b²​

Answers

Answer:

a+2b²-b (correct order is 2b²+a-b)

Step-by-step explanation:

combine like terms ( terms with the same variable and are to the same power) so thats 5b² and -3b² and 2a and -a. the -b doesnt have any like terms so leave that alone for now. combine like terms 5b²-3b² is 2b² and 2a-a is a. so you have 2b²+a and plug in the -b so you get 2b²+a-b.

Answer:

a-b+2b^2

Step-by-step explanation:

collect like terms

2a-a-b+5b^2-3b^2

a-b+2b^2

If n=3 then what is (4n-2) (7-2)

Answers

The value of equation when n = 3 is 50

Solution:

Given equation is:

[tex](4n -2)(7-2)[/tex]

We have to find the value of equation when n = 3

By plugging in n = 3 in given equation we can find the value of given equation

Substitute n = 3 in given equation

[tex]\rightarrow (4(3) -2)(7-2)\\\\Solve\ the\ above\ equation\\\\\rightarrow (12-2)(7-2)\\\\\rightarrow (12 - 2)(5)\\\\Simplify\ the\ above\ equation\\\\\rightarrow 10 \times 5 = 50[/tex]

Thus the value of equation when n = 3 is 50

solve 4√2 as the square root of a single number​

Answers

Step-by-step explanation:

[tex]4 \sqrt{2} = \sqrt{ {4}^{2} \times 2} = \sqrt{16 \times 2} = \sqrt{32} [/tex]

How do simplify 4(x-3)+5(x-3)

Answers

Answer:

9x-27

Step-by-step explanation:

4(x-3)+5(x-3)=4x-12+5x-15=4x+5x-12-15=9x-27

Other Questions
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Nettoyer decides to introduce a soap scent, Pomegranate, in response to Schoon's new soap scent, Blood Orange, and Sauber's award-winning scent, Tangerine. !!!!URGENT!!!!Find the first 3 Iterations of the function here: g(x)=1/3x+1 if you have an initial value of 2.An example on how to complete it below. How many pounds of oranges do the data in the plot line represent? Nicholas is a man whom the local college students all think of as eccentric. Each day he stands on campus, smiling at people as they walk by, and he is known for his ever-present greeting of "Good luck!" In fact, the students at this campus have come to refer to him as "Good Luck Nick." Nobody knows if he has a home or if he is destitute, but Nicholas never asks for anything. Which of the four criteria of mental illness might Nicholas satisfy?a) inability to function normallyb) social norm deviancec) subjective discomfortd) objective discomfort True or false plants in a high latitude receive less direct solar energy during the year than plants at a lower latitude because they are farther from the equator solve for -6(w+1) < 2(w+5) Jim was a crook. He embezzled $450,000 from his employer. When his employer found out about his misdeeds, before even conducting a thorough investigation, he went and gave all the details to a local newspaper agency. The next day Jim read his own story, with his own name, in the newspaper. Which of the following is correct? a. Publishing the story in the newspaper was a wrong thing to do because Jim's family will be embarrassed. b. Jim may have been misrepresented in the story by the newspaper agency and the company might face legal consequences. c. 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Its plant records include the following materials-related data:Raw Materials Inventory, beginning balance$31,000Purchases of canvas, on account66,000Purchases of sewing machine lubricating oil, on account1,100Material requisitions:Canvas60,000Sewing machine lubricating oil450Journalize the entries to record the transactions, post to the Raw Materials Inventory account, and determine the ending balance in Raw Materials Inventory.Journalize the entries to record the transactions.Begin by recording the journal entry for the purchases of materials. (Record debits first, then credits. Exclude explanations from any journal entries.) Melody has hired a new accountant. He has gathered her pay stubs and is trying to determine how many CDs were sold during each month of the previous year. Her pay stub for June indicates that she made $4,889 in that month. Write an equation her accountant could use to determine how many CDs were sold in June What is the answer to 2/3 (12x-9)