(5,6), (9,1) slope intercept form

Answers

Answer 1

Answer:

y = (-5/4)x + 12.25

Step-by-step explanation:

Slope intercept form:

y = mx + b

Slope form:

m = (y₂ - y₁)/(x₂ - x₁)

Let:

(x₁ , y₁) = (9 , 1)

(x₂ , y₂) = (5 , 6)

Plug in the corresponding numbers to the corresponding variables.

m = (6 - 1)/(5 - 9)

Simplify.

m = (5)/(-4)

Your slope is -5/4

Plug in -5/4 for m in the slope-intercept form equation, and use a point to solve for b. For example, we will use (9, 1):

y = mx + b

y = (-5/4)x + b

(1) = (-5/4)(9) + b

Simplify.

1 = (-11.25) + b

Isolate the variable, b. Note the equal sign, what you do to one side, you do to the other. Add 11.25 to both sides.

1 + (11.25) = -11.25 (+11.25) + b

1 + 11.25 = b

b = 12.25

your y-intercept is 12.25

Plug in the corresponding numbers to the corresponding variables.

y = mx + b

m = -5/4

b = 12.25

y = (-5/4)x + 12.25 is your answer.

~


Related Questions

the sum of three numbers is 63. The first number is twice the second number, and the third number is three times the first number. Set these numbers​

Answers

Answer:

Step-by-step explanation:

2x+x+3(2x)=63

3x+6x=63

9x=63

9x/9=63/9

X=7

2x=14

3(2x)=42

Which are the independent events? Check all that apply

Answers

Answer:

Independent events are those that do not depend on others. Two entities does not depend on each other. The change in one entity does not change the other.

So, independent events here are-

1. rolling a number cube twice.

2. flipping a coin 4 times.

3. choosing a meal combination.

Rest two options are dependent on each other.

Answer:ACD

Step-by-step explanation:

Edgy

ALGEBRA 2 HELP ASAP PLZ

Answers

Answer:

Step-by-step explanation:

binomial

Answer:

polynomial

Step-by-step explanation:

A monomial has only 1 term ( mono - 1 )

A binomial has 2 terms ( bi - 2 )

A trinomial has 3 terms ( tri - 3 )

7x³ + 2x² - 9x + 1 ← has 4 terms and is a polynomial

PLEASE HELP WITH THE QUESTION BELOW ASAP!! THANKS SO MUCH!

Answers

Answer:

y = 6x - 40

Step-by-step explanation:

The graph shows the total cost (y) of producing x motorbike engines.



Complete the following sentences based on the graph.

The equation of the line is y = .

The total cost of producing 50 engines is .
option 1
0.2x+2
0.25x+2
0.4x+2
1.2x+2

option 2
$12,250
$14,750
$14,500
$15,000

Answers

Answer:

1) Second option:  [tex]y=0.25x+2[/tex]

2) Third option: $14,500

Step-by-step explanation:

1) The equation of the line in Slope-intercept form is:

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

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

You know the point (20,7) of the line and you can observe in the graph that the y-intercept is:

[tex]b=2[/tex]

Then, you can substitute these values into the equation  [tex]y=mx+b[/tex]

and solve for the slope "m":

[tex]7=m(20)+2\\\\7-2=20m\\\\m=\frac{5}{20}\\\\m=0.25[/tex]

Therefore, the equation of this line is:

[tex]y=0.25x+2[/tex]

2) To calculate the total cost of producing 50 engines, you need to substitute [tex]x=50[/tex] into the equation of the line  [tex]y=0.25x+2[/tex]. Then you get:

 [tex]y=0.25(50)+2[/tex]

 [tex]y=0.25x+2[/tex]

 [tex]y=14.5[/tex]

Since the y-axis represents the total cost "y" in thousands of dollar, then the total cost of producing 50 engines is:

$14,500

Ms. Alvarez has $1482 to spend on origami paper. how many packs can she buy

Answers

a certain amount of paper

What is the value of x, when 3x^2=18 3/4?

Multiple choice is up above. I promise to mark brainlest!!

Answers

Answer:

Option B is correct

Step-by-step explanation:

We need to solve the equation 3x^2 = 18 3/4 to find the value of x

3x^2 = 18 3/4

Converting mixed fraction into fraction form

3x^2 = 75/4

Dividing both sides by 3

3x^2/3 = 75/4*3

x^2 = 75/12 (dividing numerator and denominator by 3 which is common factor)

x^2 = 25/4

Taking square root on both sides to find value of x

√x^2 = √25/4

x = ± 5/2

x = ± 2 1/2

So, Option B is correct.

8n = 56 help me solve n ???

Answers

Hello There!

8n =56

Remember when a variable is next to a number that means multiply so we know that multiply 8 by some number is equal to 56.

Using our multiplication facts.

8*7=56

So that means N = 7

Answer:

7

Step-by-step explanation:

Divide each term by 8 and simplify

Write the correct comparison (< = > or =) in each box

Answers

2...bigger =3/5 less 1/8

Final answer:

To write the correct comparison symbol, we compare two numbers or expressions to determine their relationship, using <, >, or =. This mathematical skill is important for understanding and working with inequalities.

Explanation:

To answer a question that asks you to write the correct comparison (using <, >, or =), we need to evaluate and compare the given numbers or expressions to determine which symbol is appropriate. This involves mathematical understanding and skills such as ordering numbers, understanding inequalities, and applying mathematical operations if needed.

Let's use an example to illustrate this:

If we have the numbers 7 and 10, and we are asked to put the correct comparison symbol between them, we would write 7 < 10, because 7 is less than 10.For expressions, if we have 2 + 3 and 4 + 1, the comparison would be 5 = 5, because both expressions equal 5.

Writing the correct comparisons is an essential math skill that helps students understand and work with inequalities and is widely applicable in various aspects of both academics and real life.

Learn more about Comparison Symbols here:

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Izzy's dog is 10 and 1/2 years old Pages dog is 18 months old how many years older is Izzy's dog​

Answers

Izzy's dog is 10.32 years older.

10.5 years - 0.18 years = 10.32

Different groups of 50 graduates engineering were ask the starting annual salary of their first entering job after graduation, and the sampling variability was low. If the average salary of one of the groups was $53,000, which Of these is least likely to be the average salary of another of the groups? A- $54,000 B- $53,000 C- $55,000 D- $41,000

Answers

Answer:$41,000

Step-by-step explanation:

Answer:

least likely option comes out to be option D.

Step-by-step explanation:

correct answer is option D.

As in the question it is given that the average salary of one group is  $53,000.

and,

it is also stated that the  sampling variability is very low which means the deviation from the mean will be very low .

when look at the options all the option A , B , C  are very much closer to $53,000 and the only option left is $41,000 which is very much deviated

hence,the least likely option comes out to be option D.

if a wheelie chair is pushed down the 6th grade hallway and does not bump into any people or lockers, what causes the wheelie chair to stop moving? hurry i need an answer!!

Answers

Potential Energy: the energy possessed by a body by virtue of its position relative to others, stresses within itself, electric charge, and other factors.Compare with kinetic energy

Friction :the action of one surface or object rubbing against another.

plz dont sue me if Im wrong

The wheelie chair stops moving because of friction between the chair wheels and the floor, along with a bit of air resistance. These forces oppose the motion and gradually slow the chair down until it stops.

Even though you initially give the chair energy to move by pushing it, the floor exerts a frictional force that slows it down over time until it comes to a stop.Additionally, air resistance, although minimal, also contributes by creating a small opposing force against the motion of the chair. Together, these forces cause the chair to gradually decrease its speed.

PLEASE HELP 10 POINTS

Answers

Answer:

x=7*64/80

x=5.6

Step-by-step explanation:

Let x represent miles would she run in 64 minutes?

Question Sets Up the Proportion

70/80=x/64     |Cross Multiplying to solve for x

     x = 7*64/80

     x = 5.6mi

Answer:

He would run 5 miles. If you divide 80 by 7, it would equal 11. Meaning subtract 11 for every mile. To get to 64 subtract 11 twice. That leaves 58. 58 would be 5 miles. 11+11+11+11+11 is 55. 3 more minutes and its 58. Our total is 5 miles.

Hope this helped. Have a good day. :D

Also let me know if you need more help.

Step-by-step explanation:

Terri has 5 boxes of flower seeds. She wants to give the seeds away to friends. If she gives 1/8 of a box away how many people can she give seeds to?

Answers

Answer:

She can give 1/8 of a box to 40 people

5x8=40

Step-by-step explanation:

Terri can give seeds to 40 people, each receiving 1/8 of a box, as she has a total of 40 portions of 1/8 from her 5 boxes of flower seeds.

Terri has 5 boxes of flower seeds and wants to know how many people she can give seeds to if she gives away 1/8 of a box to each person. To solve this, we calculate the total portions of seeds she has and then divide that by the portions she is giving to each friend. Since there are 8 portions of 1/8 in one box, Terri has a total of 5 boxes  imes 8 = 40 portions of seeds. Hence, Terri can give seeds to 40 people, with each person receiving 1/8 of a box.

Find the value of c .
5/2 = c/22
c = ___.

Answers

Answer:

c = 55

Step-by-step explanation:

Answer:

55

Step-by-step explanation:

I did this and it was correct please vote me as brainlies!

Hope this helped! :)

10 points please help ASP i need to do a lot of work and I'm behind

Also please only answer the once you know please ​

Answers

Answer: 1. Yellow, green, black, white, blue, red. yes equally likely

2. heads, tails. yes equally likely

3. possibilites: yellow heads, yellow tails, green heads, green tails, black heads, black tails, white heads, white tails, blue heads, blue tails, red heads, red tails.

4. 1/12

5. still 1/12

Step-by-step explanation:

The average number of people at a concert over 3 nights is 125. On the first night, there were 151 people at the concert. The same number of people attended the second and third night. How many people attended on each of the second and third nights?​

Answers

Answer:

164 people

Step-by-step explanation:

Let's say x = # of people in night 2 and 3

Average = (n₁ + n₂ + n₃ + ...)/n

Plug in known numbers: (125 + x + x)/3 = 151

Multiply + simplify: 125 + 2x = 453

Subtract: 2x = 328

Divide: x = 164

Final answer:

To determine the number of people who attended the concert on the second and third nights, an equation based on the average attendance was formulated and solved, resulting in 112 people attending each of those nights.

Explanation:

To solve this problem, we need to find out how many people attended the concert on the second and third nights. Since we know the average number of people for the 3 nights was 125 and there were 151 people on the first night, we can set up an equation to find the number attending on the other nights.

Let the number of people who attended on the second and third nights be x each. The total number of people over the three nights is then 151 + x + x (since the same number of people attended the second and third nights). To find this number, we multiply the average number of people (125) by the number of nights (3).

We get the equation:
125 * 3 = 151 + x + x
375 = 151 + 2x
375 - 151 = 2x
224 = 2x
x = 112

Thus, 112 people attended the concert on each of the second and third nights.

Solve 7x/3 < 2.

Please help !

Answers

Answer:

[tex]\large\boxed{\left\{x\ |\ x<\dfrac{6}{7}\right\}}[/tex]

Step-by-step explanation:

[tex]\dfrac{7x}{3}<2\qquad\text{multiply both sides by 3}\\\\3\!\!\!\!\diagup^1\cdot\dfrac{7x}{3\!\!\!\!\diagup_1}<3\cdot2\\\\7x<6\qquad\text{divide both sides by 7}\\\\\dfrac{7x}{7}<\dfrac{6}{7}\\\\x<\dfrac{6}{7}[/tex]

Answer: First Option

{[tex]x|x<\frac{6}{7}[/tex]}

Step-by-step explanation:

We have the following inequality [tex]\frac{7}{3}x <2[/tex]

To solve the inequality, apply the following steps:

1) Multiply by 3 on both sides of the inequality

[tex]\frac{3 * 7}{3}x <2 * 3\\\\7x <6[/tex]

2) Divide by 7 both sides of the inequality

[tex]\frac{7}{7}x <\frac{6}{7}[/tex]

[tex]x <\frac{6}{7}[/tex]

The solution is all numbers smaller than [tex]\frac{6}{7}[/tex]

A parabola is the set of all points that ?

Answers

In a plane such that the distance from these points to a fixed point

Answer:

A parabola is the set of all points in the plane equidistant from a given line and a given point not on the line.

A parabola is the set of all points in the plane equidistant from directrix and focus.

Step-by-step explanation:

A parabola is the set of all points in the plane equidistant from a given line and a given point not on the line.

The line is called directrix and the point is called focus.

So a parabola is the set of all points in the plane equidistant from directrix and focus.

Write the expression using a single exponent 2^2•2^8
A.4^10
B.2^10
C.4^16
D.2^16
i think it’s B but i’m not for sure

Answers

I think it’s C. 4^16,

What is the value of b in this diagam?

Answers

Answer:

b = 8

Step-by-step explanation:

Given  : A triangle with side a= 12 , b = 6.33 and angles.

To find : What is the value of b in this diagam.

Solution : We have given that side a= 12 , b = 6.33

Angle A = 113.17

Angle B = 37.81 .

By the sin law: [tex]\frac{b}{sin B} =\frac{a}{sin A}[/tex].

[tex]\frac{b}{sin( 37.81)} =\frac{12}{sin( 113.17)}[/tex].

[tex]\frac{b}{0.613} =\frac{12}{0.919}[/tex].

On cross multiplication

b * 0.919 = 12 * 0.613 .

b * 0.919 = 7 .356

On dividing by 0.919

b = 8.004

Therefore, b = 8.

Answer:

B=8

Step-by-step explanation:

Please Answer numbers 4 and 5
Due Tomorrow! Please Answer with Explanation ;) thank you

Answers

Answer:

Median is the middle number

Mean is the average

Step-by-step explanation:

for #4

order the tree heights from the least to greatest and the middle number would be your median. If you have an even amount (no middle) then add the two middle numbers and dived it by 2

for # 5

Add the numbers all up on a calculator then dived by the amount of numbers you added.

Really simple :)

Hope that helps!

Answer:

Step-by-step explanation:

The median is 73.5

The mean is 72.7

Hope this helps!

Nancy found that x = 1 is one solution to the quadratic equation (x + 2)2 = a. What is the value of a?

Answers

ANSWER

a=9

EXPLANATION

The given quadratic equation is

[tex] {(x + 2)}^{2} = a[/tex]

If x=1 is a solution, then it must satisfy this equation:

[tex]{(1 + 2)}^{2} = a[/tex]

[tex] {3}^{2} = a[/tex]

[tex]a = 9[/tex]

Therefore the value of 'a' is 9

Answer:

answer is A

Step-by-step explanation:

Andrew wrote the number 186425,on the board in which number is the value of the digit 6 exactly 10 times of the value digit 6 in the number Andrew wrote?

A. 681,452
B. 462,017
C. 246,412
D. 125,655

Answers

Answer:

B

Step-by-step explanation:

The digit 6 in Andrew's number is worth 10 times less than the digit six in the other number. This means that the six will be shifted over one place to the left. The only number with a 6 in that position is B, 462,017.

It's B that's correct.

In 186425, the 6 is 6 thousands or 6000

Twice that amount has to be a digit in the ten thousands place.

When you check the choices, you'll see that the number 462, 017 is exactly 10 times of the value digit 6 of Andrew's number

Can someone help me please

Answers

Answer:

AD||BC

Step-by-step explanation:

Given:

m∠3=m∠B

And if a traversal cuts two lines such that the corresponding angles are equal then the lines are parallel

Hence the lines AD and BC are parallel

AD||BC !

Given that (9,-8) is on the graph of f(x), find the corresponding point for the function f(3/4x)

Answers

Answer:

The corresponding point for the function f(3/4 x) is (12 , -8)

Step-by-step explanation:

* Lets revise the horizontal stretch or compress

- A horizontal stretching is the stretching of the graph away from

 the y-axis

- A horizontal compression is the squeezing of the graph toward

 the y-axis.

# if k > 1, the graph of y = f(k•x) is the graph of f(x) horizontally

 compressed by dividing each of its x-coordinates by k.

# if 0 < k < 1 (a fraction), the graph y = f(k·x) is the graph of f(x)

  horizontally stretched by dividing each of its x-coordinates by k.

* Now lets solve the problem

- The function f(x) will be the function f(3/4 x)

∵ The x multiplied by a constant

∴ f(x) stretched or compressed horizontally

∵ f(x) ⇒ f(k · x)

∵ f(x) ⇒ f(3/4 x)

∴ k = 3/4 ⇒ less than 1

∵ 0 < k < 1

∴ f(x) starched horizontally

∴ Divide each of its x-coordinates by k

∵ k = 3/4

∴ Divide each of its x-coordinates by 3/4

∵ Point (9 , -8) is on the graph of f(x)

- Find the corresponding point on the graph f(3/4 x) by dividing

 x-coordinate by 3/4

∵ x = 9

∴ The corresponding x = 9 ÷ 3/4 = 9 × 4/3 = 36/3 = 12

∴ The corresponding point is (12 , -8)

please help me it’s number 31

Answers

Answer:

31. (a) The height decreases by 12 feet each second towards the first floor

(b)

After 3 seconds, the elevator is 144 feet above the first floorAfter 6 seconds, the elevator is 108 feet above the first floorAfter 9 seconds, the elevator is 72 feet above the first floor

(c) It takes 15 seconds for the elevator to get to the first floor

(d) The basement floor is 48 feet below the first floor

Step-by-step explanation:

31 (a) explanation:

An elevator is 180 feet above the first floor.

Each second, it descends 12 feet.

So the elevator's change in height each second is a decrease of 12 feet towards the first floor.

31 (b) explanation:

If the elevator goes down 12 feet, towards the first floor, in 1 second then;

After 3 seconds it will be 180 feet - 3(12) feet = 144 feet above the first floorAfter 6 seconds it will be 180 feet - 6(12) feet = 108 feet above the first floorAfter 9 seconds it will be 180 feet - 9(12) feet = 72 feet above the first floor

31 (c) explanation:

If the elevator is 180 feet above the first floor and it takes 1 second to descend 12 feet,

Then it will take: [tex]\frac{180 feet}{12 feet}[/tex] × 1 second = 15 seconds reach the first floor.

31 (d) explanation:

From the first floor it takes 4 seconds to reach the basement floor

Therefore the basement floor is [tex]\frac{4 seconds}{1 second}[/tex] × 12 feet = 48 feet below the first floor

The integer -12 is the change in the height of the elevator per second

It will take 15 seconds for the elevator to get to the first floor.

The height of the basement floor with respect to the first floor is 48 feet.

What integer is the change in the height of the elevator each second?

Since the elevator descends, the change in height is negative.

The magnitude of the change in height is 12 feet per second, so the change in height is −12 feet per second.

Completing the table.

The completed table is

Time Height

0 sec 180

3 sec 180-3*12=132

6 sec 180-6*12=108

9 sec 180-9*12=72

Seconds it takes the elevator to get to the Height first floor.

Here, we divide the initial height by the rate of descent.

So, we have

Time = 180 feet / 12 feet per second = 15 seconds.

What is the height of the basement floor with respect to the first floor?

If the elevator descends to the basement floor in 4 seconds, then the height of the basement floor with respect to the first floor is

4 seconds * 12 feet per second = 48 feet.

Read more about linear function at

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What is the value of the expression below? (3 1/2 - 9 3/4) divided (-2.5)

Answers

Answer:Exact form: 5/2

Decimal form: 2.5

Mixed number form: 2 1/2  

Hope this helps:)

Step-by-step explanation:

Choose the right answer which year had higher profit in month 3 ?

Answers

Answer:

Where is month 3 I will comment the answer if there is a graph or table to know!!! For house for economics. Sorry I don't understand...

Step-by-step explanation:

Answer:

Last year

Step-by-step explanation:

The question is:

Which year had a decrease in profit between months 3 and 4?

The answer is last year

I hope this helps!

Solve: 2(x - 4) = 4(2x + 1)

Answers

Answer:

x=-2

Step-by-step explanation:

2(x - 4) = 4(2x + 1)

Distribute

2x -8 = 8x+4

Subtract 2x from each side

2x-2x-8 = 8x-2x+4

-8 = 6x+4

Subtract 4 from each side

-8-4 = 6x+4-4

-12 = 6x

Divide by 6

-12/6 = 6x/6

-2 =x

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