Write the linear equation in slope intercept form y-2=1/2(x+4)

Answers

Answer 1

Answer:

y = 1/2x + 4

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step 1: Define

Point-slope form; y - 2 = 1/2(x + 4)

Step 2: Rewrite

Distribute 1/2 to both sides: y - 2 = 1/2x + 2Add 2 to both sides: y = 1/2x + 4
Answer 2

Answer:

y=1/2x+4

Step-by-step explanation:

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

(distribute the 1/2)

y-2=1/2x+2

(add 2 to both sides)

y=1/2x+4


Related Questions

what does -11/2 - 7/3 equal



Answers

Answer: - 47/6   or in mixed number form  - 7  5/6

Step-by-step explanation:

What is the equation of the graphed line written in
standard form?
2x + 3y = -6
2x + 3y = 6
Y=-2/3x-2
Y=2/3x-2

Answers

We can see that the y-intercept of the line is [tex]-2[/tex] and its slope is [tex]-\frac{2}{3}\\[/tex] since to get from [tex](-3,0)[/tex] to [tex](0,-2)[/tex] we have to run by [tex]3[/tex] units to the right and rise by [tex]2[/tex] units down. The the equation of your line in slope-intercept form is [tex]y = -\frac{2}{3}x -2\\[/tex]. All we have to do now is to rewrite it in standard form.

[tex]y = -\frac{2}{3}x -2\\ 3(y) = (-\frac{2}{3}x -2)3 \\ 3y = -2x -6 \\ 2x +3y = -2x -6 +2x \\ 2x +3y = -6 [/tex]

Answer:

[tex]2x +3y = -6[/tex]

Write an expression that is equivalent to three over five (3y + 15). (4 points)

A three over five y + 9

B three over five y + 15

C nine over five y + 9

D nine over five y + 15
HELP ASAP

Answers

Answer:

The equivalent to three over five (3y + 15) is nine over five y + 9 ⇒ C

Step-by-step explanation:

Let us solve the question

∵ Three over five means [tex]\frac{3}{5}[/tex]

∴ Three over five (3y + 15) = [tex]\frac{3}{5}[/tex] (3y + 15)

→ By using the distributive property, multiply each term inside the

   bracket by three over 5

∴  [tex]\frac{3}{5}[/tex] (3y + 15) =  [tex]\frac{3}{5}[/tex] (3y) + [tex]\frac{3}{5}[/tex] (15)

→ Multiply three over five by 3y

∵  [tex]\frac{3}{5}[/tex] (3y) =  [tex]\frac{3(3)}{5}[/tex] (y) =  [tex]\frac{9}{5}[/tex] y

→ Multiply three over five by 15

∵  [tex]\frac{3}{5}[/tex] (15) =  [tex]\frac{3(15)}{5}[/tex] =  [tex]\frac{45}{5}[/tex] = 9

∴  [tex]\frac{3}{5}[/tex] (3y) + [tex]\frac{3}{5}[/tex] (15) = [tex]\frac{9}{5}[/tex] y + 9

∴ [tex]\frac{3}{5}[/tex] (3y + 15) =   [tex]\frac{9}{5}[/tex] y + 9

The equivalent to three over five (3y + 15) is  [tex]\frac{9}{5}[/tex] y + 9

c please give 4 stars :)

What is the maximum number of student tickets that can

be sold if the drama club meets its sales goal?

40

The members of the drama club have 100 tickets to sell

to the school play. Students pay $5 per ticket, and

nonstudents pay $10 per ticket. The drama club needs

to collect at least $800 in total ticket sales. The system

of inequalities represents the number of student tickets,

s, and the number of nonstudent tickets, n, the members

must sell.

60

80

100

Suns 100

5s + 10n 2 800

Answers

Answer:

The Drama Club scan sell all 100 student tickets at max if they reach their goal of $800.

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

E2020

Let p=2n+1 for n=10, 20, 30, or 40. For which value of n does p2−1 have the most factors?

Answers

Answer:

For n= 40 p has 7 factors

For n= 20 p has 7 factors

For n= 10 p has 6 factors

For n= 30 p has 6 factors

Step-by-step explanation:

p = 2n + 1

Putting the value of n= 10

p1= 20+1= 21

Putting the value of n= 20

p2= 40+1= 41

Putting the value of n= 30

p3= 60+1= 61

Putting the value of n= 40

p4= 80+1= 81

p2- 1= (p+1)(p-1)

         = (81+1)(81-1)

         =( 82)(80)

          = 6560

             = (1312)5

             = 328)4)5

             = 41 (2)(2)(2)(2)(2)(5)

p2- 1= (p+1)(p-1)

         = (61+1)(61-1)

          =( 62)(60)

          =3720

            = (465)(8)

            = (93)(5)(8)

             = (31)(3)(5)(2)(2)(2)

p2- 1= (p+1)(p-1)

         = (41+1)(41-1)

          =( 42)(40)

          = 1680

           = (7)(3)(5*2)(2*2*2)

p2- 1= (p+1)(p-1)

         = (21+1)(21-1)

         =( 22)(20)

         = 440

         = (11)(2)(5)(2)(2)

A taxi service charges $1.00 for the first mile then $0.10 for each additional mile after that. How much would you pay for having the taxi drive you 2 MILES?

Answers

$1.10this is because the first mile it’s 1 and every additional mile is .10. So just add 1 + .10

Answer:

$1.10

Step-by-step explanation:

In an equation, this would be written as follows (where y equals the total price and x is the number of miles driven):

[tex]y = 0.10(x-1) + 1.00[/tex]

Therefore:

[tex]y=0.10(2-1)+1.00[/tex]

[tex]y= 0.10(1)+1.00[/tex]

[tex]y=0.10+1.00[/tex]

[tex]y=1.10[/tex]

y = $1.10

the ratio of milk and water in a tank quantity 3:2 if molk is 600 gm the find tje quantity of water

Answers

Answer:

220 should be the answer.

Step-by-step explanation:

What is the opposite of negative 21 or -21

Answers

Answer:

21

Step-by-step explanation:

thats the opposite of negative 21

Answer:

positive 21

Step-by-step explanation:

Express the following number as a decimal:
2 x 10^-6

Answers

Answer:

0.000002

Step-by-step explanation:

2* 10^-6

is the same as

2 * 0.000001

which is

0.000002

Answer:

The answer is: 0.000002

Step-by-step explanation:

Have a great day!

The admission fee to an amusement park is $18. It costs an additional c dollars to rent a locker to hold your belongings. The total cost for 2 people to enter the amusement park and each rent a locker is $46. How much does it cost for one person to rent a locker?

Answers

Answer:

$5 for one person to rent a locker

Step-by-step explanation:

Assuming the $18 is for one person, then two people it would be $36, since $18 + $18 = $36 and it's stated there's two people. If you subtract $36 from $46 you get $10, and since it's for two people you split it in half (so basically divide by 2) you get $5 for a locker.

Hope this helps!

I'm doing a worksheet about dividing fractions and I dont understand it. it's asking me to estimate and then write the quotient in simplest form. the problems are 1.) 1/2 ÷ 1/4. 2.) 4/5 ÷ 2/3. 3.) 14/15 ÷ 7. 4.) 8÷ 1/3. 5.) 12/21 ÷ 2/3. 6.) 5/6 ÷ 5/12. 7.) 5/8 ÷ 1/2.
can anyone help me?​

Answers

1. answer: 2

2. answer: 1 and 1/5

3. answer: 2/15

4. answer: 24

5. answer: 6/7

6. answer: 2

7. answer: 1 and 1/4

Explanation: Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.

Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes  _________.

For fraction multiplication, multiply the numerators and then multiply the denominators to get ______.

Davis used a drawing and a scale factor of 4 to design his triangular yard. The area of the yard is 400 ft². He wants to find the area of the scale drawing. A smaller triangle has an area of x. A larger triangle has an area of 400 feet squared. Davis knows that the original area times the square of the scale factor will equal the enlarged area. What is the area of the scale drawing? (Scale drawing)(Scale factor)2 = Enlarged Area (x)(4)2 = 400 16x = 400 x =

Answers

Answer:

25

Step-by-step explanation:

Answer:

it is 25 :)

Step-by-step explanation:

You can ignore a and b but can someone help me with c and d plz :)

Answers

Answer:

(below)

Step-by-step explanation:

c) the angles are in the interior on the same side of the transversal, making them supplementary

equation: 2x + 20 + 120=180 and then when solved you would get x =20

d) the angles are corresponding, which makes them congruent

equation: 3x + 10 = 100 and then when solved you would get x = 30

For C, the answer is x = 20. Explanation: the sum of the two angles is equal to 180 degrees, since they are across parallel lines. Plug the two angles into an equation that equals 180. You should have (2x + 20) + 120 = 180. Simplify the equation by subtracting 120 from both sides. You should now have 2x + 20 = 60. Subtract 20 from both sides. 2x = 40. Now simplify the equation by dividing both sides by 2, and you get your answer, x = 20. The answer for D is x = 30. Explanation: Since the angles are on the same side of parallel lines, they are equal. Plug the angles into an equal equation: 3x + 10 = 100. Subtract 10 from both sides to get 3x = 90. Now divide both sides by 3 to get your answer, x = 30.

Find the unit rate: $23.96 for 4 pounds

Answers

Answer:

5.99 dollars per pound

Step-by-step explanation:

Convert to a decimal by dividing the numerator by the denominator.

Which shows a set of three equivalent decimals?
1.9, 1.90, 1.900
1.9, 1.90, 1.090
1.9, 0.19 0.190
O 1.9, 1.09, 1.009

Answers

The best choice is A)

when you add a zero, it does not count on a decimal, so,

1.9, 1.90, 1.900.

Answer:

the answer is a

Step-by-step explanation:

There is a proportional relationship between the number of months a person has had a streaming movie subscription and the total amount of money they have paid for the subscription. The cost for 6 months is $47.94. What is the constant of proportionality in this relationship? What does the constant of proportionality tell us about the situation?

Answers

Answer: proportionality constant = 7.99

It means for every 1 month, the amount need to pay = $7.99 .

Step-by-step explanation:

When y is directly proportional to y , then the equation for this relationship is given by :-

[tex]y=mx[/tex],   (i)

where m is the proportionality constant.

here, it is given that number of months a person has had a streaming movie subscription  is proportional to the total amount of money they have paid for the subscription.

If cost for 6 months is $47.94.

Put x=  6 and y= 47.94  in (i), we get

47.94 =6m

Divide both sides by 6 , we get

7.99 =m

So proportionality constant = 7.99

It means for every 1 month, the amount need to pay = $7.99 .

The constant of proportionality (k) is 7.99. This tells us that the subscription per month is $7.99.

Recall:

A proportional relationship is modelled with the equation, y = kx.

k is the constant of proportionality between y and x.

k = y/x

Given:

x = number of months (6)

y = total amount paid for subscription (47.94)

If 6 months subscription costs $47.94, therefore,

k = 47.94/6

k = 7.99

Constant of proportionality is therefore 7.99. This tells us that the subscription for per month is $7.99.

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18 Which expression uses the greatest common factor and distributive property to write 18 + 24 as a product? ​

Answers

Answer:

48

Step-by-step explanation:

8

6(2x+4) plzzzzzzz I need help

Answers

Answer:

12x+24

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

Simplifying

6(2x + 4) = 0

Reorder the terms:

6(4 + 2x) = 0

(4 * 6 + 2x * 6) = 0

(24 + 12x) = 0

Solving

24 + 12x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-24' to each side of the equation.

24 + -24 + 12x = 0 + -24

Combine like terms: 24 + -24 = 0

0 + 12x = 0 + -24

12x = 0 + -24

Combine like terms: 0 + -24 = -24

12x = -24

Divide each side by '12'.

x = -2

Simplifying

x = -2

what is the slope of this line?​

Answers

Answer:

slope is 1/4

Step-by-step explanation:

Use rise over run

The slope of the line will be equal to 1/4.


What is a slope?

Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line. The slope of the line is the ratio of the rise to the run of the line.

The formula to calculate the slope of the line is given as,

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given that the line is passing through points ( 0,6) and (8,8). The slope of the line is calculated below,

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope = (8 - 6 ) / ( 8 - 0)

Slope = 2 / 8

Slope = 1 / 4

Therefore, the slope of the line will be equal to 1/4.

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The price of a stove is s dollars. Pedro makes a 10% down payment for a two-year installment purchase. The monthly payment is m dollars. Express the finance charge algebraically.​

Answers

Answer:

0.2

Step-by-step explanation:

Use the diagram below to find the measure of each angle. If you cannot see the
diagram below, it is also in your book on page 59. As you write your answer,
write the number and type the word degrees after.
A
E
B
С
50°
D
m m m

Answers

C dont know tell me if it helped

A person can pay $6 for a membership to the art museum and then go to the museum for just $1 per visit. Write an equation that shows the relationship between the number of visits x and the total cost y. Write your answer as an equation with y first, followed by an equals sign.

Answers

Answer:

y = 6 + x

Step-by-step explanation:

Membership fee = $6

Fee per visit = $1

Let

x = number of visits

y = Total cost

Total cost = fixed cost + variable cost

Fixed cost = Membership fee = $6

Variable cost = Fee per visit × number of visits

= $1 * x

= $x

Total cost = fixed cost + variable cost

y = $6 + $x

y = 6 + x

Best representation of 5 7/3

Answers

Answer:what it is

Step-by-step explanation:

Will be it’s improper fraction

22/3

On a coordinate plane, a line goes through (1, negative 1) and (4, 2). A point is at (2, 5). What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (2, 5)? y + 5 = x + 2 y − 2 = x − 5 y − 5 = −(x − 2) y + 2 = −(x + 5)

Answers

The equation is C. y − 5 = −(x − 2)

The line equation is y − 5 = −(x − 2), and the correct option is C.

What is the equation of a Straight Line?

The equation of a straight line is given by

y = mx +c

where m is the slope and c is the y-intercept.

The line goes through the points (1,  -1) and (4, 2),

The slope of the line will be

m = (y'-y)/(x'-x)

m = ( 2+1)/(4-1) = 1

The product of the slope of the line and the line perpendicular to it is -1

So, the slope of the line perpendicular to the given line is -1.

The line passes through the point (2,5)

The point-slope form is

(y-y') = m(x-x')

so, the equation will be

y − 5 = −(x − 2)

Therefore, the line equation is y − 5 = −(x − 2), and the correct option is C.

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if 12x+8 is less than 6,what is the value of 8x​

Answers

I think it’s 4 but not sure

Find the value of x.

Answers

Answer:

sdf

Step-by-step explanation:

sdff

For the first one, 132 and 4 + x make a straight line, and a straight line is 180 degrees, so:

132 + 4 + x = 180

Add 132 and 4.

136 + x = 180

Subtract 136.

x = 44

You are right!

For the second one, 68 + x + 9 form a right angle, and a right angle is 90 degrees, so:

68 + x + 9 = 90

Combine 68 and 9.

77 + x = 90

Subtract 77.

x = 13

Hope this helps

pls help easy middle school math

Answers

Answer:

Step-by-step explanation:

Question 2 is 3

Question 3 is 10^16

Question 4 is 1/3^5

Question 5 is r^m-n

Answer:

2. 2) x = 3

3. 3) 10^16

4. 2) 1/3^5

5. 1) R = m-n

Step-by-step explanation:

2 and 3 rules.  (A^n)^m = A mxn

4 rules. m + n then flip the fraction till it looks like 1/3^d

5 rules. r^m divided by r^n = R m-n

Simply the expression below .


8+ ( 15 - 3 ) + 4


help please .

Answers

8 + (15-3) + 4
8 + 12 + 4
20 + 4
24
your answer is 24

Answer:

24

Step-by-step explanation:

8+ ( 15 - 3 ) + 4

8+12+4

20+4

24

Maria receives a commission of 11.5% for each pair of shoes she sells. She earned $207 in commission last week. What was the dollar amount of shoes she sold?

Answers

The dollar amount of shoes she sold is $1800

Let the amount of the shoe sold e x

What is commission?

It is the amount earned on a product bought or sold.

If  she receives a commission of 11.5% for each pair of shoes she sells and earned $207, the amount earned is calculated using the formula:

11.5% of x = 207

0.115x = 207

Divide both sides by 0.115

x = 207/0.115

x = $1800

Hence the dollar amount of shoes she sold is $1800

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Suppose scores on exams in statistics are normally distributed with an unknown population mean. A sample of 26 scores is given below. Use Excel to find a 90% confidence interval for the true mean of statistics exam scores. Round your answers to one decimal place and use increasing order.

Answers

Answer:

Step-by-step explanation:

Using the formula for calculating confidence interval

CI = xbar±z×S/√n

xbar is the mean of the sample

z is the z score at 90% = 1.645

S is the standard deviation of the score

n is the sample size = 26

Since we are not given the scores, we can assume the values of our mean and standard Deviation

Let xbar = 38

S = 3.0

Substitute the given values into the formula

CI = 38±(1.645×3.0/√26)

CI = 38±(1.645×3.0/5.099)

CI = 38±(1.645×0.5884)

CI = 38±0.9678

CI = (38-0.9678, 38+0.9678)

CI = (38.0322, 38.9678)

CI = (38.0, 38.9)

Hence the 90% confidence interval for the true mean of statistics exam scores is 38.0≤p≤38.9

Note that the we will need to generate the mean and standard deviation from the data but since we are not given the required data, we had to assume the value we used in calculation.

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Can someone pls help me make a sentence that explains how they are similar and/or different?These are the articles: It's Saturday night. You've just fallen asleep after spending the day hanging out with friends, watching movies, and enjoying being a typical teenager on the weekend. Suddenly, the beeper on your nightstand goes off. You jump up and get ready because someone needs your help. For a group of teenagers in Alaska, known as the Dragon Slayers, this is nothing unusual. They are from the town of Aniak, located about three hundred fifty miles west of Anchorage. Forget driving there, you can only reach the town by plane! There are around six hundred residents and one medical clinic, but the doctor only visits once a month. This means that if you are visited by a medical or fire "dragon," getting treatment or being rescued might be difficult. In fact, until the Slayers were formed, there was no emergency service in the town after 4 p.m. To address the problem, the fire chief decided to train qualified teenagers as first responders. He believed that because most of them did not have jobs, they had the time required to take on the responsibility.Today, the Dragon Slayers respond to about 450 calls per year. They are available 24 hours a day, seven days a week. The team is made up of 14- to 18-year-old girls and boys. No matter what the emergency, it is important that Dragon Slayers remain calm and have the medical skills to help those who need them. They have over two hundred hours of medical and fire-safety training. All are certified emergency trauma technicians. They must also get passing grades in school and be drug and alcohol free. They are expected to treat everything from minor injuries requiring only first aid, to more serious issues such as heart attacks. They may be called to scenes ranging from small plane crashes to automobile accidents.Their efforts have saved both lives and property. Just ask a former principal at their high school. At first, he didn't like the idea of Slayers being called out of class to respond to emergencies. However, he changed his mind after suffering a diabetic emergency at school and being cared for by the quick-thinking Slayers. Additionally, if it weren't for the actions of Amanda Hoeldt and several of her Dragon Slayer friends, the community hall might have burned to the ground when it caught fire in 2009. Although not allowed to enter the building, she and the other Slayers set up hoses that eventually put out the blaze, saving the structure. After observing the girls respond to an emergency call, state trooper Sgt. Mike Duxbury commented, "They helped each other out. Gave each other encouragement. They worked as a team."Amanda says that the Dragon Slayers also benefit from their participation in the program. She feels that she is prepared to handle nearly any situation that comes her way. Through teaching others in her community life-saving skills, she has become more confident in her leadership abilities. Agnes Nicoli, another Slayer, says of her participation in the program, "Being able to save lives and save property is a wonderful feeling." Most Slayers go to college, and many of them choose careers in the medical field. And, just in case you're wondering what happens when a Slayer graduates, he or she is replaced by a "Lizard Killer." A Lizard Killer is a younger member of the program who is still in training. Upon completion of that training, he or she earns the right to be promoted to Dragon Slayer. 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