Write an equation in slope-intercept form from the following points:
(-4,6) and (0,7)

Answers

Answer 1

Answer:

y = 1/4 * x + 7

Step-by-step explanation:

We start with the equation for slope-intercept y = mx + b -

Y is any y point on the line. X is any x point on the line. M is the slope of the line. B is the y-intercept of the line.

We first find the slope by using this equation (y2 - y1) / (x2 - x1) -

(7 - 6) / (0 - (-4))

1 / (0 + 4)

Slope = 1/4

Now we insert the slope into the equation -

y = 1/4 * x + b

As said before, Y is any y point on the line and X is any x point on the line, so we can choose a random point and insert it in to find the y-intercept -

(The equation already tells you the y-intercept (0, 7) but for checking, we will insert the point in too)

7 = 1/4 * 0 + b

7 = b

b = 7

The y-intercept of the line is (0, 7)

We insert the y-intercept in the equation -

y = 1/4 * x + 7

y = 1/4 * x + b is our answer to the problem.


Related Questions

Which number is a rational number? OA √15 OB. 2.6457513110... O c. 17.156 OD. 3√85​

Answers

Answer:

"O c. 17.156"

Step-by-step explanation:

    A is not a rational number because it cannot be written as a fraction [with two integers] or an integer (the square root of 15 is equal too 3.87298334...)

   B is not a rational number because it also goes on forever, just like A.

    C is a rational number because it does not go on forever.

    D is like A and B, it goes on forever.

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

given g(x)=-2x+1 solve for x when g (x)=5

Answers

Answer:

x = -2

Step-by-step explanation:

g(x) = 5

-2x + 1 = 5

-2x  = 5 - 1

-2x = 4

x = 4/-2

x = -2

>> Answer

_________

[tex]\:[/tex]

g(x) = 5

5 = -2x + 1

5 - 1 = -2x

4 = -2x

x = -2

Please help I don't can't figure out the answer

There are 135 people in a sport centre. 73 people use the gym. 59 people use the swimming pool. 31 people use the track 19 people use the gym and the pool. 9 people use the pool and the track 16 people use the gym and the track, 4 people use all three facilities. Given that a randomly selected person uses at least two facilities, what is the probability they use all the facilities?​

Answers

Answer:

1/9

Step-by-step explanation:

4 people use all three facilities, then

16 - 4 = 12 people use the gym and the track and do not use the pool;

9 - 4 = 5 people use the pool and the track and do not use the gym;

19 - 4 = 15 people use the gym and the pool and do not use the track.

At least two facilities use 4 + 12 + 5 + 15 = 36 people, 4 of them use all three facilities. Thus, the probability that a randomly selected person which uses at least two facilities, uses all the facilities is 4/36

Mason gave the waiter a $14.58 tip, which was 15 percent of the dinner bill. What was the amount of the dinner bill before he added the tip?
$9.72
$21.87
$97.20
$218.70

Answers

Answer:

$97.20

Step-by-step explanation:

97.20 x 0.15 = 14.58

Multiply the total by 15 percent, giving you the $14.58 tip, proving it to be correct.

if 5/6 of the 30 motorcycles were new, how many motorcycles were used​

Answers

Answer:

5 Motorcycles are used

30÷6= 5

5×5= 25

30-24=5

so the answer is 5

Answer:

5 out of the 30 motorcycles are used

Step-by-step explanation:

First, we should look at what we know. We know that there are 30 motorcycles in total. As a fraction, that'd be 30/30. We also know that of that 30, the equivalent of 5/6 are brand new.

Our next step is to figure out how much 5/6 is out of 30. Since we know that in total there 30/30 motorcycles, we need to convert 5/6 to have a denominator of 30. So what times 6 equals 30.

30 ÷ 6 = ?    opposite of 6 x ? = 30

5                   divide

So now we now that 6 times 5 equals 30. What we do to the denominator we must do to the numerator.

[tex]\frac{5}{6}[/tex] × [tex]\frac{5}{5}[/tex]    

[tex]\frac{25}{30}[/tex]

Now we know that 25 of the 30 motorcycles are new and all we need to do is subtract that 25 from the total 30 to get 5. This tells us that 5 of the total motorcycles are used.

I hope this helped :)

What does the A stand for in the star problem solving process

Affect

Agree

Add

Act

Answers

The answer is D. Act.

STAR stands for Situation, Task, Action, Result.

Answer:

act

Step-by-step explanation:

A stands for act. Act on your plan and work the problem out.

Given f(x) = 5x + 4 , find f(-10)

Answers

Answer:

-46

Step-by-step explanation:

5 x -10 + 4 = -50 + 4 = -46


A 8th grade student has 5 years
to save up enough money to
pay for her 4 years of college.
She is estimating each year will
cost $7,500. If she has $5,000
to start a savings account, then
based on the table, what is her
minimum monthly deposit
needed to reach her goal?
Initial Balance
(dollars)
$5,000
$5,000
$5,000
$5,000
Monthly Deposit
(dollars)
$100
$200
$300
$400
Account Value in
Five Years
(dollars)
$12,273
$18,737
$25,202
$31,667

Answers

Answer:

$400

Step-by-step explanation:

If college costs $7,500 per year, and she's going to go for 4 years, then she needs to save 4 x $7,500  = $30,000 total.  From the table, she would need to deposit $400 per month in order to have $31,667 in time for college.

Answer: $200

Step-by-step explanation:

Because in the table the minimum number is in the month when she save $200.

Initial balance is $5000

Account in value in five years is $18,737

Difference between complementary and Supplementary

Answers

Complementary angles sum to 90°. Supplementary angles sum to 180°.

Answer:

See below.

Step-by-step explanation:

Complementary: The sum of 2 angles is 90°.

Supplementary: The sum of 2 angles is 180°

What is the area of this triangle?

Answers

Answer:

all side equal is formula of triangle.But i think in our class 7 book is traingle formula is all side equal

Find the value of X.

Answers

Answer:

x=28

Step-by-step explanation:

90-33=57

2x+1=57

2x=56

x=28

12 ≤ 4n < 28

SOLVE THE COMPOUND INEQUALITY​

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

[tex] \boxed{ \boxed{3 \leqslant n < 7}}[/tex]

The equivalent expression is ~

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

Let's solve ~

[tex]12 \leqslant 4n < 28[/tex]

Now divide each term with 4

[tex]12 \div 4 \leqslant 4n \div 4 < 28 \div 4[/tex]

[tex]3 \leqslant n < 7[/tex]

[tex] \sf \: 12 ≤ 4n < 28[/tex]

Divide all parts by 4

[tex]\sf \longmapsto \frac{12}{4}≤ \frac{4n}{4} < \frac{28}{4} [/tex]

[tex] \sf \longmapsto3≤n<7[/tex]

Result:

[tex]\boxed{ \sf 3 \leqslant n<7}[/tex]

Number line attached

Find the probability that the sum of two randomly chosen numbers from the set {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} is no greater than 10.

Answers

Using it's concept, it is found that there is a 0.64 = 64% probability that the sum of two randomly chosen numbers from the set {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} is no greater than 10.

A probability is the number of desired outcomes divided by the number of total outcomes.

In this problem:

Two numbers that can be repeated chosen from a set of 10 numbers, thus, in total, there are [tex]10^2 = 100[/tex] outcomes.

For a sum no greater than 10, we have that:

0 can be added with all the 10 numbers, as can 1.2 can be added with 9 of them, bar 9.3 can be added with 8 of them.4 can be added with 7 of them.5 can be added with 6 of them.6 can be added with 5 numbers, 7 with 4, 8 with 3, and 9 with 2.

Hence, the number of desired outcomes is:

[tex]D = 10(2) + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 = 64[/tex]

The probability is:

[tex]p = \frac{D}{T} = \frac{64}{100} = 0.64[/tex]

0.64 = 64% probability that the sum of two randomly chosen numbers from the set {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} is no greater than 10.

A similar problem is given at https://brainly.com/question/25401798

10x + 8 = 3(x – 2)
10x + 8 = 3x

Answers

Answer:

dfq

Step-by-step explanation:

1.

10x + 8 = 3(x – 2)

10x + 8 = 3x - 6

10x - 3x = -8 -6

7x = -14

x = -14/7

x = -2

2.

10x + 8 = 3x

10x - 3x = -8

7x = - 8

x = -8/7

Help ! Find X and others. ANGLES!!!!

Answers

Answer:

x = 12°

∠RST = 40°

∠STR = 100°

Step-by-step explanation:

If 35 men can reap a field in 8 days; in how many days can 20 men reap the same field?​

Answers

Answer:

87.5 days

Step-by-step explanation:

35/8=4.something

that answer*20=87.5

What is the estimated quotient of 8 455 divided by 17? *.

Answers

Answer:

34.7647058824

Step-by-step explanation:

4 2/3 + 6 1/5
1 13 /15

10 13/15

13 5/10

Answers

HOPE IT IS HELPFUL TO YOU ☺️

Answer:

4+6+ (10/15+3/15):10 13/15

i need help on i ready what is the length of the breathing tube

Answers

Answer:

The average size of the tube for an adult male is 8.0, and an adult female is 7.0,

The typical depth of the endotracheal tube is 23 cm for men and 21 cm for women

plz help i give brainliest and points

Answers

Answer:

Step-by-step explanation:

To find this, lets make a equation.

We have the expression 8b - 27, lets set this equal to -11 and solve:

8b -27 = -11

Now lets solve.

Lets add 27 to both sides to get 8b alone:

8b = 16

Now lets divide by 8:

b = 2

So our answer is 2.

Hope this helps!

I believe it’s 2, I’m not completlyyyyyy sure

can someone help me 5/4/7 + 1/3/4

Answers

Please check the attached image for the steps.

Answer = 11/42 = 0.261

____

RainbowSalt2222 ☔

help algebra 2 please

Answers

Step-by-step explanation:

your answer is 1 option

thanks for extraaaaaa points

It’s option 1 since you divide the result of both f(x) and g(x)

Which of these expressions equal -8? Check all that apply. 16 x -1/2, -16/3 x 1/2, -1.25 x 6.4, -18 x 1/2, -2x-4, -32 (1/4), 12 x -1/3, -32/1/4), -1.75 x 4.6​

Answers

Answer:

16×-1/2, -1.25×6.4

Step-by-step explanation:

16×-0.5

=-8

-1.25×6.4

=-8

Plz solve. I will give brainliest

Answers

Answer:

x = 9x ∈ all real numbers

Step-by-step explanation:

1)

  [tex]\sqrt{x}-3=0\\\\\sqrt{x}=3\qquad\text{add 3 to both sides}\\\\\boxed{x=9}\qquad\text{square both sides}[/tex]

__

2)

The expression ...

  [tex]\sqrt{|x|+1}[/tex]

is defined for all values of x. The expression makes sense for all real numbers.

_____

Additional comment

The expression in the second question makes sense for all numbers, real or complex. The value of |x| is never negative, so the value under the radical is always positive.

Los asistentes, hoy, a la reunión semanal de un club social se pueden agrupar por parejas para bailar, por tríos para hacer manualidades, y de 4 en 4 para jugar bingo. En ninguno de esos casos queda nadie sin grupo. ¿Cuántas personas son si casi llegan a 25?

Answers

En la reunión semanal había 24 personas.

Los asistentes, hoy, a la reunión semanal de un club social se pueden agrupar por parejas para bailar, por tríos para hacer manualidades, y de 4 en 4 para jugar bingo, y en ninguno de esos casos queda nadie sin grupo, para determinar cuántas personas son si casi llegan a 25 se debe realizar el siguiente cálculo, obteniendo el múltiplo común entre estos números:

2 - 4 - 6 - 8 - 10 - 12 - 14 - 16 - 18 - 20 - 22 - 243 - 6 - 9 - 12 - 15 - 18 - 21 - 244 - 8 - 12 - 16 - 20 - 24

Por lo tanto, en la reunión semanal había 24 personas.

Aprende más en https://brainly.com/question/3113448

Compare the properties of each exponential function over the interval (0,5)

Function A.
Jasmine received a job offer with a starting salary of $32,000 and a 1.5% increase every year

Function B
A second job offer for jasmine can be described by the function F(x) =30,000(1+0.02)^x

Answers

Answer:

erhujdrjdrj 3x24678q2578=1/235236125

Step-by-step explanation:

drjdfjdfj because 0,5 = 320000 x 1.5% = 17000 a year = 3000 (1=0.02)^x

this is my LITTLE sisters homework help me

Answers

Answer:

17+ 65=82

PLZZZZZZZ Brainliest

Answer:

17 + 65 = 82

Step-by-step explanation:

17 + 65 = 82

Your above-ground pool has sprung a leak, and you do not have a way to fix it. At 12 noon, the water in the pool is 5 feet deep (in other words, the water level is 5 feet above the ground). You are not sure how quickly the pool level is falling, so you check again after 40 minutes and see that the height of the water level is now feet. You notice that there is a relationship between the time that has passed to the height of the water level in the pool.

Answers

Answer:

Step-by-step explanation:

Mary has 2 1/5 hours before she needs to meet her friend. She needs to take care of 7 chores before then. How much time can she allocate to each chore?

Answers

around 19 minutes ^^

(18.85 minutes)

Mary can allocate to each chore around 18.85 minutes.

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.

It is given that Mary has 2 1/5 hours before she needs to meet her friend. She needs to take care of 7 chores before then.

Hence, we get

2 and 1/5 hours = 132 minutes (120 + 12)

thus, Mary will have 132/7 = 18.85714285714286 minutes for each chore.

Or around 18.85 minutes for each chore

Therefore, she can allocate to each chore around 18.85 minutes.

Learn more about the unitary method;

https://brainly.com/question/23423168

#SPJ2


Given that line a is parallel to line b, find the values of x and y in the diagram.

Answers

Step-by-step explanation:

first add them all to gether then divide them by a - b and your answer would be -78 x 4y

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